Interlocking Puzzles

This section covers interlocking puzzles - wherein multiple pieces fit together such that the puzzle does not fall apart, and presents a challenge to disassemble and re-assemble. This is one of my favorite categories.

Here are my groupings:

Traditional 6-Piece Burrs

Any story about interlocking puzzles has to start with the traditional six-piece burr puzzle. This puzzle is known by several names, including the "puzzle knot," the "Devil's Knot" (Teufelsknoten in German), the "Chinese Cross," the "Lock of Luban" (Luban Suo 魯班鎖) or the "Lock of Kongming" (Kongming Suo 孔明鎖). The term "burr" is thought to have been first used by Edwin Wyatt in Puzzles in Wood (1928), but Wyatt seems to use the term as if it was already commonly understood to apply. Supposedly whoever coined the term did so because the puzzle resembles the clinging burrs of some plants.

Like other well-known vintage puzzles, the burr has acquired a probably-fanciful backstory, and details of its history are lost. Some say it is a Chinese invention, along with the Patience Tanglement, the Sliding Piece Puzzle known as "The Huarong Path," and the Tangram, and date it to ancient times (see Wei Zhang's Chinese Puzzles Blog, and the website of the Chinese Culture Center of San Francisco, for info about an exhibition). The earliest relevant U.S. Patent seems to be 1225760 - Brown 1917. However, a traditional six-piece burr appears in Hoffmann's 1893 book Puzzles Old and New in Chapter III as No. XXXVI "The Nut (or Six-piece) Puzzle." Jerry Slocum and Dieter Gebhardt put together a compendium of puzzle advertisements found in the 1785 catalogue of the merchant Peter Friedrich Catel, who established a retail store in Berlin in 1780. The 1785 catalogue contains an ad for a traditional six-piece burr puzzle called "The Small Devil's Hoof" (in addition to an ad for the Large Devil's Hoof which is a 24-piece cage burr).

In his 2007 book Geometric Puzzle Design, Stewart Coffin discusses the six-piece burr in chapter 7, and reports that Jerry Slocum's New Findings on the History of the Six Piece Burr traces the six-piece burr back to Germany in 1698. One early depiction of the six-piece burr puzzle and specific pieces occurs in a Spanish book from 1733 by Pablo Minguet y Irol (b. 1700 d. ca. 1775) with a rather lengthy title that begins Engaños à Ojos Vistas. Also see the 1728 Cyclopedia of Ephraim Chambers (online at the University of Wisconsin Digital Collection; additional commentary at www.cyclopedia.org). You can see a six-piece burr in the lower left area of the frontispiece by John Sturt, which is a modified and left-to-right inverted copy of a 1698 engraving entitled "L'Académie des Sciences et des Beaux Arts" by Sébastien Leclerc (or Le Clerc). In his Sources in Recreational Mathematics, David Singmaster says that James Dalgety was the first to note this picture. Read about this engraving, at the University of Oxford.

Stewart Coffin's book The Puzzling World of Polyhedral Dissections hosted on John Rausch's site contains a good introduction to this type of puzzle. Martin Gardner discusses burrs briefly (as an introduction to the puzzle sculptures of Miguel Berrocal) in his 1989 book Penrose Tiles to Trapdoor Ciphers, and most of the key puzzle authors mention the puzzle. There have been sporadic fits of research into the six-piece burr, including an extensive analysis by hand by the Dutch mathematician J. H. de Boer, and work by Tom O'Beirne and Arthur Cross, but Bill Cutler has performed the definitive computer analysis, and the statistics cited below are based on his analysis.

There is a distinction made between burr puzzles that contain no internal "holes" or voids - termed "solid" burrs, and those that do contain one or more - termed "holey" burrs. Also, there is a distinction made among the pieces which can be produced without hard-to-manufacture blind (or internal) corners versus those that cannot. The 59 "easy" pieces are called "notchable" and there are only 25 of them that can be used to build solid burrs. Those 25 pieces can be put together in 314 ways. There are 369 general pieces that can be used to produce 119,979 solid burrs. Of those 369, 112 can be used in duplicate and 2 in triplicate, making a useful set of 485 pieces. The 59 notchable pieces can be used to make 13,354,991 assemblies, most of which are holey. Overall, there are 837 pieces that can be used to produce an estimated 5.95 billion constructible puzzles.

So, to make a traditional six-piece burr, six pieces, usually but not always distinct, are selected from the overall set of 837 possible such pieces, and interlocked in a characteristic 2x2x2 pattern along 3 orthogonal axes - see the photo at upper left. The burr shape is tricky to envision without an example in front of one, but it gets easier with practice.

Bill Cutler has done extensive analysis on both the "holey" six-piece burr and all six-piece burrs in general, and Bill offers several burrs for sale. Jurg von Kanel created the wonderful Burr Puzzles Site hosted at IBM Research. Jurg's site offers a solution analyzer applet and historical info about burrs. Bruno Curfs' site offers additional analysis. Ed Pegg wrote a good survey article about burrs. Peter Roesler's site also discusses burr puzzles, and has an interesting history of Willem van der Poel's Grandfather 6x6x6 burr. You can see some burrs at John Rausch's Puzzleworld and at Wayne Daniel's site. You can use Andreas Roever's Burr Tools to model, solve, and design burr puzzles.

If you're interested in collecting 6-piece burrs, I suggest you first check out the "Puzzle Will Be Played" site to get some idea of the variety available. Look under "Interlocking (6 piece burr: traditional)." Though they may be sold under different names and by different vendors, burr puzzles that use the same set of six pieces are isomorphic and have identical solutions (although using pieces longer than six units might eliminate some solutions). That site also provides a comprehensive catalogue of burr pieces.

The "level" of a burr puzzle is the number of distinct moves (a shift of one or more pieces as a unit, usually by one unit in one direction) that must be performed to remove the first piece or pieces - there can be a concatenation of figures usually separated by dots - these are the numbers of steps to remove successive pieces. All solid burrs are level 1 - they come apart without any preliminary shifting. Burrs with internal holes, of which there can be from 1 to 20, can achieve higher levels, and one goal of research has been to delimit what is possible in terms of level complexity.

I admit that, early on, I didn't like burr puzzles. But as I read more about them, and tried various designs, my appreciation for them grew. I put together the diagram below to try to summarize and organize some of the facts I learned about this category of puzzle.

The 25 Notchable Pieces Used in Solid Burrs

Shown below is the set of 25 pieces referred to above (these are depicted as length-6; for longer pieces simply extend the 2x2 solid burr equally on each end). I have located some of them out of numerical sequence, to show mirror images together. This guide will help you determine if two puzzles are equivalent.

Over the years, different researchers and writers have employed different schemes to identify the pieces. I use Jurg von Kanel's numbering system and I have adapted some of the ASCII character piece diagrams below from his documents. I created a "Burr ID Tool" in JavaScript which will display an ASCII character picture of any given burr - you just check off the particular cubelets that are present in the piece. (These character-based renderings rely on fixed-width fonts and won't display well on some devices, particularly phones - at some point I'll have to create images for the pieces.)

The first letter, in bold, is the "standard" letter ID for the piece. The second letter is as assigned by Curfs and is also used by Wayne Daniel. The third letter, if present, is that assigned by Edwin Wyatt in "Puzzles in Wood." A 'p' suffix indicates the piece is included in the Professor burr set. The last number is the usual count of this piece in 42-piece sets that allow you to construct 314 solid burrs.

I have lately given names to some of the pieces, which I find more helpful than the letters or numbers when trying to remember sets of pieces I have seen before.

Piece #1 is the "key" piece. Piece 1024 (Y) is the "minimal" piece - no more material can be removed without the piece falling apart.


1 A A A [p] 1
    +----+----+----+----+----+----+
   /                             /|
  +                             + |
 /                             /  +
+----+----+----+----+----+----+   |
|                             |   |
|                             |   +
+                             +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Key
18 B B L [p] 2
    +----+    +----+----+----+----+
   /    /|   /                   /|
  +    + |  +                   + |
 /    /  +-/                   /  +
+----+  / +----+----+----+----+   |
|    | +  |                   |   |
|    |/   |                   |   +
+    +----+                   +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
35 C E 1
    +----+----+    +----+----+----+
   /         /|   /              /|
  +         + |  +              + |
 /         /  +-/              /  +
+----+----+  / +----+----+----+   |
|         | +  |              |   |
|         |/   |              |   +
+         +----+              +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
52 D P J [p] 2
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +              + |
 /    /  +----+-/              /  +
+----+  /      +----+----+----+   |
|    | +       |              |   |
|    |/        |              |   +
+    +----+----+              +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Side Tray
103 F S H 1
    +----+----+         +----+----+
   /         /|        /         /|
  +         + |       +         + |
 /         /  +---+--/         /  +
+----+----+  /      +----+----+   |
|         | +       |         |   |
|         |/        |         |   +
+         +----+----+         +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Half-Tray
120 G U 1
    +----+              +----+----+
   /    /|             /         /|
  +    + |            +         + |
 /    /  +----+---+--/         /  +
+----+  /           +----+----+   |
|    | +            |         |   |
|    |/             |         |   +
+    +----+----+----+         +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Three-Quarters Tray
256 J X B [p2] 3
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +                 |    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Tray
86 E H 1
    +----+    +----+    +----+----+
   /    /|   /    /|   /         /|
  +    + |  +    + |  +         + |
 /    /  +-/    /  +-/         /  +
+----+  / +----+  / +----+----+   |
|    | +  |    | +  |         |   |
|    |/   |    |/   |         |   +
+    +----+    +----+         +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
154 H K I [p] 1
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +         + |  +    + |
 /    /  +-/         /  +-/    /  +
+----+  / +----+----+  / +----+   |
|    | +  |         | +  |    |   |
|    |/   |         |/   |    |   +
+    +----+         +----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Toaster
188 I M M [p] 2
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +    + |  +    + |
 /    /  +----+-/    /  +-/    /  +
+----+  /      +----+  / +----+   |
|    | +       |    | +  |    |   |
|    |/        |    |/   |    |   +
+    +----+----+    +----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The (Bottle) Opener
871 M T K 2
    +----+----+         +----+----+
   /         /|        /         /|
  +         + |       +         + |
 /         /  +----+-/         /  +
+----+----+  /      +----+----+   |
|         | +----+--|         |   |
|         | |       |         |   +
+         + |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Barbells
928 V L D 2
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +----+----+ |  +    + |
 /    /  +--|         | +-/    /  +
+----+  /   |         |/ +----+   |
|    | +    +         +  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Tongue
1024 Y Y F [p2] 3
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Y
792 R D 2
    +----+    +----+----+----+----+
   /    /|   /                   /|
  +    + |  +----+----+         + |
 /    /  +--|        /         /  +
+----+  /   |       +----+----+   |
|    | +    +       |         |   |
|    |/    /|       |         |   +
+    +----+ |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
911 N C G 2
    +----+----+----+----+    +----+
   /                   /|   /    /|
  +         +----+----+ |  +    + |
 /         /|         | +-/    /  +
+----+----+ |         |/ +----+   |
|         | +         +  |    |   |
|         | |        /   |    |   +
+         + |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
824 T R C [p] 2
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +----+         + |
 /    /  +----+--|   /         /  +
+----+  /        |  +----+----+   |
|    | +    +----+  |         |   |
|    |/    /|       |         |   +
+    +----+ |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
975 O Q E [p] 2
    +----+----+----+         +----+
   /              /|        /    /|
  +         +----+ |       +    + |
 /         /|    | +----+-/    /  +
+----+----+ |    |/      +----+   |
|         | +    +----+  |    |   |
|         | |        /   |    |   +
+         + |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
888 U W 2
    +----+              +----+----+
   /    /|             /         /|
  +    + |            +         + |
 /    /  +----+----+-/         /  +
+----+  /           +----+----+   |
|    | +    +----+--|         |   |
|    |/    /|       |         |   +
+    +----+ |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
1007 Q V 2
    +----+----+              +----+
   /         /|             /    /|
  +         + |            +    + |
 /         /  +----+----+-/    /  +
+----+----+  /           +----+   |
|         | +----+----+  |    |   |
|         | |        /   |    |   +
+         + |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Walls The Offsets The Clubs
960 X N 2
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +----+ |  +    + |
 /    /  +-------|    | +-/    /  +
+----+  /        |    |/ +----+   |
|    | +    +----+    +  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
992 W O [p] 2
    +----+    +----+         +----+
   /    /|   /    /|        /    /|
  +    + |  +----+ |       +    + |
 /    /  +--|    | +----+-/    /  +
+----+  /   |    |/      +----+   |
|    | +    +    +----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
359 L F 1
    +----+----+----+    +----+----+
   /              /|   /         /|
  +         +----+ |  +         + |
 /         /|    | +-/         /  +
+----+----+ |    |/ +----+----+   |
|         | +    +--|         |   |
|         | |       |         |   +
+         + |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
615 K G 1
    +----+----+    +----+----+----+
   /         /|   /              /|
  +         + |  +----+         + |
 /         /  +--|   /         /  +
+----+----+  /   |  +----+----+   |
|         | +----+  |         |   |
|         | |       |         |   +
+         + |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
856 S J 1
    +----+    +----+    +----+----+
   /    /|   /    /|   /         /|
  +    + |  +----+ |  +         + |
 /    /  +--|    | +-/         /  +
+----+  /   |    |/ +----+----+   |
|    | +    +    +--|         |   |
|    |/    /|       |         |   +
+    +----+ |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
943 P I 1
    +----+----+    +----+    +----+
   /         /|   /    /|   /    /|
  +         + |  +----+ |  +    + |
 /         /  +--|    | +-/    /  +
+----+----+  /   |    |/ +----+   |
|         | +----+    +  |    |   |
|         | |        /   |    |   +
+         + |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Fingers The Notched Half-Trays The Fingered Clubs

Selected Other Burr Pieces

The following are only a small selection of additional pieces, used in some of the burrs mentioned below. Many of these pieces have internal corners and are more difficult to manufacture. Remember, there are 837 pieces in total - if you want to see them all, you'd best visit Ishino's site.

56
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +----+         + |
 /    /  +----+--|   /         /  +
+----+  /        |  +----+----+   |
|    | +         +--|         |   |
|    |/             |         |   +
+    +----+----+----+         +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

Triple Slide
72
    +----+----+----+    +----+----+
   /              /|   /         /|
  +    +----+----+ |  +         + |
 /    /|         | +-/         /  +
+----+ |         |/ +----+----+   |
|    | +----+----+  |         |   |
|    |/             |         |   +
+    +----+----+----+         +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

Interrupted Slide
88
    +----+    +----+    +----+----+
   /    /|   /    /|   /         /|
  +    + |  +----+ |  +         + |
 /    /  +--|    | +-/         /  +
+----+  /   |    |/ +----+----+   |
|    | +    +----+  |         |   |
|    |/             |         |   +
+    +----+----+----+         +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
Piston, Hordern,
Dozen, BB31-10-40
94
    +----+    +----+    +----+----+
   /    /|   /    /|   /         /|
  +    + |  +    + |  +----+    + |
 /    /  +-/    /  +--|   /    /  +
+----+  / +----+  /   |  +----+   |
|    | +  |    | +    +--|    |   |
|    |/   |    |/        |    |   +
+    +----+    +----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

Triple Slide
109
    +----+----+         +----+----+
   /         /|        /         /|
  +         +----+    +----+    + |
 /              /|----|   /    /  +
+----+----+----+ |    |  +----+   |
|              | +    +--|    |   |
|              |/        |    |   +
+              +----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

BCL6000
112
    +----+----+         +----+----+
   /         /|        /         /|
  +    +----+ |       +----+    + |
 /    /|    | +-------|   /    /  +
+----+ |    |/        |  +----+   |
|    | +----+         +--|    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

Interrupted Slide
126
    +----+              +----+----+
   /    /|             /         /|
  +    + |  +----+    +----+    + |
 /    /  +-/    /|----|   /    /  +
+----+  / +----+ |    |  +----+   |
|    | +  |    | +    +--|    |   |
|    |/   |    |/        |    |   +
+    +----+    +----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

STC#36
128
    +----+              +----+----+
   /    /|             /         /|
  +    + |            +----+    + |
 /    /  +------------|   /    /  +
+----+  /             |  +----+   |
|    | +              +--|    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

Hedgehog, Kaldeway
156
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +----+    + |  +    + |
 /    /  +--|   /    /  +-/    /  +
+----+  /   |  +----+  / +----+   |
|    | +    +--|    | +  |    |   |
|    |/        |    |/   |    |   +
+    +----+----+    +----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

Triple Slide
160
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +----+----+ |  +    + |
 /    /  +--|         | +-/    /  +
+----+  /   |         |/ +----+   |
|    | +    +----+----+  |    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

(many)
192
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +----+ |  +    + |
 /    /  +----+--|    | +-/    /  +
+----+  /        |    |/ +----+   |
|    | +         +----+  |    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

#G
224
    +----+    +----+         +----+
   /    /|   /    /|        /    /|
  +    + |  +----+ |       +    + |
 /    /  +--|    | +----+-/    /  +
+----+  /   |    |/      +----+   |
|    | +    +----+       |    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    

JVK, Millable 5.4
412
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +----+    + |  +    + |
 /    /  +--|   /    /  +-/    /  +
+----+  /   |  +----+  / +----+   |
|    | +    +  |    | +  |    |   |
|    |/    /|  |    |/   |    |   +
+    +----+ |  +    +----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    

(many)
448
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +----+ |  +    + |
 /    /  +----+--|    | +-/    /  +
+----+  /        |    |/ +----+   |
|    | +    +----+----+  |    |   |
|    |/    /|   /        |    |   +
+    +----+ |  +----+----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    

Interrupted Slide
736
    +----+    +----+         +----+
   /    /|   /    /|        /    /|
  +    + |  +----+ |       +    + |
 /    /  +--|    | +----+-/    /  +
+----+  /   |    |/      +----+   |
|    | +    +----+----+  |    |   |
|    |/         /|   /   |    |   +
+    +----+----+ |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    

BCL6000, #G
464
    +----+----+----+         +----+
   /              /|        /    /|
  +    +----+----+ |       +    + |
 /    /|         | +----+-/    /  +
+----+ |         |/      +----+   |
|    | +----+    +       |    |   |
|    |/    /|   /        |    |   +
+    +----+ |  +----+----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    

Brown's
576
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +----+----+    + |
 /    /  +----+--|        /    /  +
+----+  /        |       +----+   |
|    | +         +    +--|    |   |
|    |/         /|   /   |    |   +
+    +----+----+ |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    

D. Kriz II
511
    +----+                   +----+
   /    /|                  /    /|
  +    +----+              +    + |
 /         /|-+----+----+-/    /  +
+----+----+ |            +----+   |
|         | +----+       |    |   |
|         | |   /        |    |   +
+         + |  +----+----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    

Interrupted Slide,
#D, F#73
476
    +----+    +----+         +----+
   /    /|   /    /|        /    /|
  +    + |  +----+----+    +    + |
 /    /  +--|   /    /|-+-/    /  +
+----+  /   |  +----+ |  +----+   |
|    | +    +  |    | +  |    |   |
|    |/    /|  |    |/   |    |   +
+    +----+ |  +    +----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    

Prog. Nightmare
702
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |  +----+----+ |  +    + |
 /    /  +-/    /|    | +-/    /  +
+----+  / +----+ |    |/ +----+   |
|    | +  |    | +    +  |    |   |
|    |/   |    | |   /   |    |   +
+    +----+    + |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    

BC-CCU10, Mega-6
512
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+       |    |   |
|    |/    /|   /        |    |   +
+    +----+ |  +----+----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    

(many)
768
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +         +----+  |    |   |
|    |/         /|   /   |    |   +
+    +----+----+ |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    

(many)
551
    +----+----+    +----+----+----+
   /         /|   /              /|
  +         + |  +----+         + |
 /         /  +--|   /         /  +
+----+----+  /   |  +----+----+   |
|         | +    +  |         |   |
|         |/    /|  |         |   +
+         +----+ |  +         +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    

BC-L5N
624
    +----+----+         +----+----+
   /         /|        /         /|
  +    +----+ |       +----+    + |
 /    /|    | +----+--|   /    /  +
+----+ |    |/        |  +----+   |
|    | +----+    +----+--|    |   |
|    |/         /|   /   |    |   +
+    +----+----+ |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    

BC-CCU10
704
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +----+ |  +    + |
 /    /  +----+--|    | +-/    /  +
+----+  /        |    |/ +----+   |
|    | +         +    +  |    |   |
|    |/         /|   /   |    |   +
+    +----+----+ |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    

(many)
499
    +----+                   +----+
   /    /|                  /    /|
  +    +----+    +----+----+    + |
 /         /|-+-/              /  +
+----+----+ |  +----+----+----+   |
|         | +--|              |   |
|         | |  |              |   +
+         + |  +              +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    

BC-CC5H
757
    +----+                   +----+
   /    /|                  /    /|
  +    +----+----+    +----+    + |
 /              /|-+-/         /  +
+----+----+----+ |  +----+----+   |
|              | +--|         |   |
|              | |  |         |   +
+              + |  +         +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    

Prog. Nightmare
760
    +----+                   +----+
   /    /|                  /    /|
  +    + |            +----+    + |
 /    /  +----+----+-/         /  +
+----+  /           +----+----+   |
|    | +         +--|         |   |
|    |/         /|  |         |   +
+    +----+----+ |  +         +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    

Baffling, Brother
800
    +----+    +----+----+----+----+
   /    /|   /                   /|
  +    + |  +----+----+----+    + |
 /    /  +--|             /    /  +
+----+  /   |            +----+   |
|    | +    +         +--|    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

Brown's
820
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +              + |
 /    /  +----+-/              /  +
+----+  /      +----+----+----+   |
|    | +    +--|              |   |
|    |/    /|  |              |   +
+    +----+ |  +----+         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

STC#36
832
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +----+----+    + |
 /    /  +----+--|        /    /  +
+----+  /        |       +----+   |
|    | +    +----+    +--|    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

Brown's, G4
976
    +----+----+----+         +----+
   /              /|        /    /|
  +    +----+----+ |       +    + |
 /    /|         | +----+-/    /  +
+----+ |         |/      +----+   |
|    | +----+    +----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

D. Kriz II, Enigma, #G
880
    +----+----+         +----+----+
   /         /|        /         /|
  +    +----+ |       +----+    + |
 /    /|    | +----+--|   /    /  +
+----+ |    |/        |  +----+   |
|    | +----+----+----+--|    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

Dubois/Gaby
883
    +----+              +----+----+
   /    /|             /         /|
  +    +----+    +----+         + |
 /         /|-+-/              /  +
+----+----+ |  +----+----+----+   |
|         | +--|              |   |
|         | |  |              |   +
+         + |  +----+         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

BC-CCU10
922
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +         + |  +    + |
 /    /  +-/         /  +-/    /  +
+----+  / +----+----+  / +----+   |
|    | +  |         | +  |    |   |
|    |/   |         |/   |    |   +
+    +----+----+----+----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

Piston
926
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +    +----+ |  +    + |
 /    /  +-/    /|    | +-/    /  +
+----+  / +----+ |    |/ +----+   |
|    | +  |    | +    +  |    |   |
|    |/   |    |/    /   |    |   +
+    +----+----+    +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

BC-CC5H
956
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +    + |  +    + |
 /    /  +----+-/    /  +-/    /  +
+----+  /      +----+  / +----+   |
|    | +    +--|    | +  |    |   |
|    |/    /|  |    |/   |    |   +
+    +----+ |  +----+----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

Prog. Nightmare,
BC-CC4H
990
    +----+    +----+         +----+
   /    /|   /    /|        /    /|
  +    + |  +    + |       +    + |
 /    /  +-/    /  +----+-/    /  +
+----+  / +----+  /      +----+   |
|    | +  |    | +----+  |    |   |
|    |/   |    |/    /   |    |   +
+    +----+----+    +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

Interrupted Slide
996
    +----+----+              +----+
   /         /|             /    /|
  +    +----+ |  +----+----+    + |
 /    /|    | +-/              /  +
+----+ |    |/ +----+----+----+   |
|    | +----+--|              |   |
|    |/    /|  |              |   +
+    +----+ |  +----+         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

Baffling
1008
    +----+----+              +----+
   /         /|             /    /|
  +    +----+ |            +    + |
 /    /|    | +----+----+-/    /  +
+----+ |    |/           +----+   |
|    | +----+----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

(many)
1015
    +----+                   +----+
   /    /|                  /    /|
  +    +----+         +----+    + |
 /         /|-+----+-/         /  +
+----+----+ |       +----+----+   |
|         | +----+--|         |   |
|         | |       |         |   +
+         + |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

(many)
1021
    +----+                   +----+
   /    /|                  /    /|
  +    +----+----+         +    + |
 /              /|-+----+-/    /  +
+----+----+----+ |       +----+   |
|              | +----+  |    |   |
|              |/    /   |    |   +
+         +----+    +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

Prog. Nightmare

Some Common Six-Piece Burr Designs

I have noticed the following four designs recur over and over again in different products.

It should be fairly easy for you to find contemporary examples using these pieces, and these four burr puzzles are a reasonable introduction to the category.

The Diabolical Structure
1 A A [p]
    +----+----+----+----+----+----+
   /                             /|
  +                             + |
 /                             /  +
+----+----+----+----+----+----+   |
|                             |   |
|                             |   +
+                             +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Key
256 J X [p2]
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +                 |    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Tray
256 J X [p2]
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +                 |    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Tray
256 J X [p2]
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +                 |    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Tray
928 V L
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +----+----+ |  +    + |
 /    /  +--|         | +-/    /  +
+----+  /   |         |/ +----+   |
|    | +    +         +  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Tongue
928 V L
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +----+----+ |  +    + |
 /    /  +--|         | +-/    /  +
+----+  /   |         |/ +----+   |
|    | +    +         +  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Tongue

This set of pieces appeared in a French puzzle (I don't have) called "Charpente Diabolique" (the Diabolical Structure). The pieces include: 1, 3x256, and 2x928 (AJ-VV-JJ or ALLXXX). The colorful burr on the right I have from "Melissa & Doug" uses the same set. It is very easy to construct - in fact this is possibly the easiest of all 6-piece burrs.
  

 

The Chinese Cross
1 A A [p]
    +----+----+----+----+----+----+
   /                             /|
  +                             + |
 /                             /  +
+----+----+----+----+----+----+   |
|                             |   |
|                             |   +
+                             +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Key
256 J X [p2]
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +                 |    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Tray
824 T R [p]
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +----+         + |
 /    /  +----+--|   /         /  +
+----+  /        |  +----+----+   |
|    | +    +----+  |         |   |
|    |/    /|       |         |   +
+    +----+ |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The
975 O Q [p]
    +----+----+----+         +----+
   /              /|        /    /|
  +         +----+ |       +    + |
 /         /|    | +----+-/    /  +
+----+----+ |    |/      +----+   |
|         | +    +----+  |    |   |
|         | |        /   |    |   +
+         + |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
Offsets
928 V L
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +----+----+ |  +    + |
 /    /  +--|         | +-/    /  +
+----+  /   |         |/ +----+   |
|    | +    +         +  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Tongue
1024 Y Y [p2]
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Y

This set of pieces has been used often, and has appeared in ivory. Jurg von Kaenel refers to this as "the well-known one."


This small plastic red burr is one of my older puzzles - I don't recall where I got it.

Licorice Stix - Reiss (1974)

This is a small plastic burr pendant, made in China.

This set also appeared as "Dohikus." (I don't have this.)

 

The Six-Way Set
52 D P [p]
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +              + |
 /    /  +----+-/              /  +
+----+  /      +----+----+----+   |
|    | +       |              |   |
|    |/        |              |   +
+    +----+----+              +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Side Tray
792 R D
    +----+    +----+----+----+----+
   /    /|   /                   /|
  +    + |  +----+----+         + |
 /    /  +--|        /         /  +
+----+  /   |       +----+----+   |
|    | +    +       |         |   |
|    |/    /|       |         |   +
+    +----+ |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The
911 N C
    +----+----+----+----+    +----+
   /                   /|   /    /|
  +         +----+----+ |  +    + |
 /         /|         | +-/    /  +
+----+----+ |         |/ +----+   |
|         | +         +  |    |   |
|         | |        /   |    |   +
+         + |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
Walls
824 T R [p]
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +----+         + |
 /    /  +----+--|   /         /  +
+----+  /        |  +----+----+   |
|    | +    +----+  |         |   |
|    |/    /|       |         |   +
+    +----+ |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The
975 O Q [p]
    +----+----+----+         +----+
   /              /|        /    /|
  +         +----+ |       +    + |
 /         /|    | +----+-/    /  +
+----+----+ |    |/      +----+   |
|         | +    +----+  |    |   |
|         | |        /   |    |   +
+         + |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
Offsets
1024 Y Y [p2]
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Y

This is the only notchable, voidless set that can be put together six different ways.


I got this aluminum burr called "Rainbow" from Bits and Pieces - it came in a nice black drawstring pouch. It was designed by Paul Eibe.

This is DNORTY from Pentangle. The name derives from the bold piece letters given in my table above: 52 (D), 911 (N), 975 (O), 792 (R), 824 (T), 1024 (Y).

This is a Toyo Glass puzzle called "Tongari Kun and Roppongi." Not only is there a burr, but it must be assembled inside the glass container. The mouth is too small to pass the burr in fully assembled form. Remember, there are 6 different ways to construct this burr - you must find one that permits construction within the container!

This set was sold some time ago (perhaps prior to 1900) as The ZOOZZLER. (I don't have it.) If you look carefully at the inside of the box lid shown in the photo on the left, you'll see the Zoozzler came from the La Rose Manufacturing Company of Albany, N.Y.

In December 2008 I was contacted by Pete Brady, who discovered a Zoozzler in the back of an old desk, and after assembling it, did a Google search on it and found my website. Pete's copy is shown on the right.

Pete, who is now in his 70's (and still solving burr puzzles!) tells me that his grandfather was Anthime F. La Rose, who was born in 1842 in a small town near Montreal, and who died in 1920. Anthime was raised in French Canada and eventually emigrated to Albany, where he established his factory at 172 Broadway and made, among other things like the Zoozzler, furniture, and phone booths for Western Electric. There is no evidence of any patent, though the box does carry the words "Trade Mark" - Pete believes that Anthime produced the Zoozzler in his well-equipped factory. The box says, "Agents wanted to sell the ZOOZZLER in every town or city - liberal commission. Special inducements to boys and girls to sell in their spare time." No phone number appears on any of the packaging, so it may be that the Zoozzler was produced prior to 1900.

Pete says his grandfather was married twice. After his first wife died, Anthime married Julia, who was born in 1863 and died in 1945, and in 1899 had a daughter, Katharine, who was Pete's mother.

Thanks for the info, Pete, and for allowing me to share it! I find this kind of historical background adds a lot to my enjoyment of puzzles. It is not always easy to feel any connection to our distant ancestors, but a puzzle can be a tangible link to the past.

To resolve all six different solutions, I found it helpful to ask myself, "What sits in the notch of piece #52, and then which piece is opposite #52?" I found the following:
  • left offset 824, right wall 911 - this seems like it fits together, but is in fact not constructible. This is a good illustration of what is meant by an apparent assembly.
  1. left offset 824, right offset 975 - two 3-pc halves slide together
  2. right offset 975, left offset 824 - mirror of the above
  3. right wall 911, left offset 824
  4. right wall 911, left wall 792
  5. left wall 792, right offset 975
  6. left wall 792, right wall 911

 

The Yamato Block
1 A A [p]
    +----+----+----+----+----+----+
   /                             /|
  +                             + |
 /                             /  +
+----+----+----+----+----+----+   |
|                             |   |
|                             |   +
+                             +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Key
188 I M [p]
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +    + |  +    + |
 /    /  +----+-/    /  +-/    /  +
+----+  /      +----+  / +----+   |
|    | +       |    | +  |    |   |
|    |/        |    |/   |    |   +
+    +----+----+    +----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The (Bottle) Opener
824 T R [p]
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +----+         + |
 /    /  +----+--|   /         /  +
+----+  /        |  +----+----+   |
|    | +    +----+  |         |   |
|    |/    /|       |         |   +
+    +----+ |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The
975 O Q [p]
    +----+----+----+         +----+
   /              /|        /    /|
  +         +----+ |       +    + |
 /         /|    | +----+-/    /  +
+----+----+ |    |/      +----+   |
|         | +    +----+  |    |   |
|         | |        /   |    |   +
+         + |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
Offsets
1024 Y Y [p2]
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Y
1024 Y Y [p2]
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Y


The vintage Japanese Yamato Block Puzzle.

This is "No. P19 Joe's Puzzle" from Wm. F. Drueke & Sons of Grand Rapids Michigan. There is no date on the box but it seems fairly old.

This is a small brass burr, called the "Ultimate Puzzle," made for Chadwick Miller and dated 1969. It came with a small black case with a question mark on the front.

In this aluminum burr, piece 824 is fixed to the base. I think this came from B&P.

 

More Six-Piece Burrs

 

Love's Dozen
88
    +----+    +----+    +----+----+
   /    /|   /    /|   /         /|
  +    + |  +----+ |  +         + |
 /    /  +--|    | +-/         /  +
+----+  /   |    |/ +----+----+   |
|    | +    +----+  |         |   |
|    |/             |         |   +
+    +----+----+----+         +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
512
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+       |    |   |
|    |/    /|   /        |    |   +
+    +----+ |  +----+----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    
704
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +----+ |  +    + |
 /    /  +----+--|    | +-/    /  +
+----+  /        |    |/ +----+   |
|    | +         +    +  |    |   |
|    |/         /|   /   |    |   +
+    +----+----+ |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    
960
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +----+ |  +    + |
 /    /  +-------|    | +-/    /  +
+----+  /        |    |/ +----+   |
|    | +    +----+    +  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
992
    +----+    +----+         +----+
   /    /|   /    /|        /    /|
  +    + |  +----+ |       +    + |
 /    /  +--|    | +----+-/    /  +
+----+  /   |    |/      +----+   |
|    | +    +    +----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
1008
    +----+----+              +----+
   /         /|             /    /|
  +    +----+ |            +    + |
 /    /|    | +----+----+-/    /  +
+----+ |    |/           +----+   |
|    | +----+----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

This is Bruce Love's Dozen, (the version without the D's) purchased from Bill Cutler, and made from Maple by Jerry McFarland. This burr is special because it is the only burr at the highest level, 12. Unfortunately the solution is not unique - there are 89 ways to put these pieces together, and most of them don't achieve level 12. Note that there are no other level 12 burrs (for any length stick), and no level 11 burrs at all.

 

The Piston Burr
88
    +----+    +----+    +----+----+
   /    /|   /    /|   /         /|
  +    + |  +----+ |  +         + |
 /    /  +--|    | +-/         /  +
+----+  /   |    |/ +----+----+   |
|    | +    +----+  |         |   |
|    |/             |         |   +
+    +----+----+----+         +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
512
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+       |    |   |
|    |/    /|   /        |    |   +
+    +----+ |  +----+----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    
768
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +         +----+  |    |   |
|    |/         /|   /   |    |   +
+    +----+----+ |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    
922
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +         + |  +    + |
 /    /  +-/         /  +-/    /  +
+----+  / +----+----+  / +----+   |
|    | +  |         | +  |    |   |
|    |/   |         |/   |    |   +
+    +----+----+----+----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
1008
    +----+----+              +----+
   /         /|             /    /|
  +    +----+ |            +    + |
 /    /|    | +----+----+-/    /  +
+----+ |    |/           +----+   |
|    | +----+----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
1008
    +----+----+              +----+
   /         /|             /    /|
  +    +----+ |            +    + |
 /    /|    | +----+----+-/    /  +
+----+ |    |/           +----+   |
|    | +----+----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

This is Peter Marineau's "Piston" burr, so named because of the large number of times pieces must be moved back and forth during the solution. This burr is special because it achieves the highest level possible for length-6 pieces, level 9 (i.e. it requires 9 moves to release the first piece), and the solution is unique - it has no other solutions at lower levels.

I made an example from Lego. I also bought a version made from six exotic woods, by Thomas Moeller. It is quite large - each piece measures 1.5" x 1.5" x 4.5".

Check Bill Cutler's site for availability.

 

Computer's Choice Unique 10
624
    +----+----+         +----+----+
   /         /|        /         /|
  +    +----+ |       +----+    + |
 /    /|    | +----+--|   /    /  +
+----+ |    |/        |  +----+   |
|    | +----+    +----+--|    |   |
|    |/         /|   /   |    |   +
+    +----+----+ |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    
702
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |  +----+----+ |  +    + |
 /    /  +-/    /|    | +-/    /  +
+----+  / +----+ |    |/ +----+   |
|    | +  |    | +    +  |    |   |
|    |/   |    | |   /   |    |   +
+    +----+    + |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    
768
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +         +----+  |    |   |
|    |/         /|   /   |    |   +
+    +----+----+ |  +----+    +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    
883
    +----+              +----+----+
   /    /|             /         /|
  +    +----+    +----+         + |
 /         /|-+-/              /  +
+----+----+ |  +----+----+----+   |
|         | +--|              |   |
|         | |  |              |   +
+         + |  +----+         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
1015
    +----+                   +----+
   /    /|                  /    /|
  +    +----+         +----+    + |
 /         /|-+----+-/         /  +
+----+----+ |       +----+----+   |
|         | +----+--|         |   |
|         | |       |         |   +
+         + |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
1024 Y Y [p2]
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Y

This is Bill Cutler's Computer's Choice Unique 10 burr. I don't know who the craftsman is - I bought it as part of a group of hand-made puzzles. This burr is special because it is one of 18 burrs that have a unique level 10 solution, the highest level achievable for six-piece burrs with unique solutions. The pieces must be length-8, however, not length-6.

 

Philippe Dubois/Gaby Games
120 G U 1
    +----+              +----+----+
   /    /|             /         /|
  +    + |            +         + |
 /    /  +----+---+--/         /  +
+----+  /           +----+----+   |
|    | +            |         |   |
|    |/             |         |   +
+    +----+----+----+         +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Three-Quarters Tray
160
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    + |  +----+----+ |  +    + |
 /    /  +--|         | +-/    /  +
+----+  /   |         |/ +----+   |
|    | +    +----+----+  |    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
256 J X B [p2] 3
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +                 |    |   |
|    |/                  |    |   +
+    +----+----+----+----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Tray
512
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+       |    |   |
|    |/    /|   /        |    |   +
+    +----+ |  +----+----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    
880
    +----+----+         +----+----+
   /         /|        /         /|
  +    +----+ |       +----+    + |
 /    /|    | +----+--|   /    /  +
+----+ |    |/        |  +----+   |
|    | +----+----+----+--|    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
960 X N 2
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +----+ |  +    + |
 /    /  +-------|    | +-/    /  +
+----+  /        |    |/ +----+   |
|    | +    +----+    +  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

This small black plastic burr I found in a puzzle shop in Prague during IPP28 is a copy of the Philippe Dubois/Gaby Games burr that requires 6 (or 7, depending on how you count) moves to release the first piece. It is one of the "Fearsome Four."

 

Tenyo Brother
463
    +----+----+----+         +----+
   /              /|        /    /|
  +         +----+ |       +    + |
 /         /|    | +----+-/    /  +
+----+----+ |    |/      +----+   |
|         | +    +       |    |   |
|         | |   /        |    |   +
+         + |  +----+----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    
564
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +              + |
 /    /  +----+-/              /  +
+----+  /      +----+----+----+   |
|    | +       |              |   |
|    |/        |              |   +
+    +----+----+----+         +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    
760
    +----+                   +----+
   /    /|                  /    /|
  +    + |            +----+    + |
 /    /  +----+----+-/         /  +
+----+  /           +----+----+   |
|    | +         +--|         |   |
|    |/         /|  |         |   +
+    +----+----+ |  +         +  / 
|              | +--|         | +  
|              |/   |         |/   
+----+----+----+    +----+----+    
909
    +----+----+----+----+    +----+
   /                   /|   /    /|
  +              +----+ |  +    + |
 /              /|    | +-/    /  +
+----+----+----+ |    |/ +----+   |
|              | +    +  |    |   |
|              |/    /   |    |   +
+         +----+    +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
927
    +----+    +----+----+    +----+
   /    /|   /         /|   /    /|
  +    +----+----+----+ |  +    + |
 /         /|         | +-/    /  +
+----+----+ |         |/ +----+   |
|         | +         +  |    |   |
|         | |        /   |    |   +
+         + |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
1016
    +----+                   +----+
   /    /|                  /    /|
  +    + |            +----+    + |
 /    /  +----+----+-/         /  +
+----+  /           +----+----+   |
|    | +    +----+--|         |   |
|    |/    /|       |         |   +
+    +----+ |       +         +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    

I bought this plastic burr in Japan. I believe it was made by Tenyo. It is number 4 in a "Family" of burrs - this one is called "Brother." This burr uses six general pieces: 463, 564, 760, 909, 927, 1016. It has no holes, and comes apart in one move into two 3-piece halves.

This might be #72 in Filipiak's list (c.f. Anthony S. Filipiak, 100 Puzzles - How to Make and Solve Them, 1942, p. 86).

 

Kozy Kitajima's 6+6=Cube
This set of twelve pieces is called the "6+6=Cube." It was designed by Kozy Kitajima. The pieces include: 1, 52, 103, 120, 188, 256, 911, 928, 992, 960, and 2x 1024. There is only one way to build two burrs at once. The twelve pieces can also be combined to form a cube, with holes.

 

G4
1 A A [p]
    +----+----+----+----+----+----+
   /                             /|
  +                             + |
 /                             /  +
+----+----+----+----+----+----+   |
|                             |   |
|                             |   +
+                             +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The Key
188 I M [p]
    +----+         +----+    +----+
   /    /|        /    /|   /    /|
  +    + |       +    + |  +    + |
 /    /  +----+-/    /  +-/    /  +
+----+  /      +----+  / +----+   |
|    | +       |    | +  |    |   |
|    |/        |    |/   |    |   +
+    +----+----+    +----+    +  / 
|                             | +  
|                             |/   
+----+----+----+----+----+----+    
The (Bottle) Opener
512
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+       |    |   |
|    |/    /|   /        |    |   +
+    +----+ |  +----+----+    +  / 
|         | +--|              | +  
|         |/   |              |/   
+----+----+    +----+----+----+    
832
    +----+         +----+----+----+
   /    /|        /              /|
  +    + |       +----+----+    + |
 /    /  +----+--|        /    /  +
+----+  /        |       +----+   |
|    | +    +----+    +--|    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
975 O Q [p]
    +----+----+----+         +----+
   /              /|        /    /|
  +         +----+ |       +    + |
 /         /|    | +----+-/    /  +
+----+----+ |    |/      +----+   |
|         | +    +----+  |    |   |
|         | |        /   |    |   +
+         + |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
Offsets
1024 Y Y [p2]
    +----+                   +----+
   /    /|                  /    /|
  +    + |                 +    + |
 /    /  +----+----+----+-/    /  +
+----+  /                +----+   |
|    | +    +----+----+  |    |   |
|    |/    /|        /   |    |   +
+    +----+ |       +----+    +  / 
|         | +----+--|         | +  
|         |/        |         |/   
+----+----+         +----+----+    
The Y

This burr's wooden length-12 pieces are stained a dark color. The burr comes in a box with a fitted slip-out cover. At some point I saw it referred to as "G4." The pieces used are: 1, 188, 512, 832, 975, 1024.

 

Miscellaneous
Here is a group of miscellaneous wooden burrs I've accumulated.

The light brown burr is perhaps the more difficult of this group, but we've seen it already - its pieces are the familiar "Six Way" set: 52, 792/911, 824/975, 1024.

The white and two (identical) dark brown burrs all employ the familiar "Chinese Cross" piece set: 1, 256, 824/975, 928, 1024.

 

Burr Sets


Obviously it would be nice to have a set of pieces all with consistent dimensions, in order to conveniently try different burr designs. In fact, there have been several sets produced, of varying completeness and quality.

I made generic burr pieces (6x #1024, each requiring 14 cubes) from LiveCube. Then, with 20 extra pieces (here in yellow), one can build any of the possible burr pieces, and any set of six to try a particular burr.

I recently (in 2008) discovered that a Chinese fellow named (I believe) Qiu Jinhua received an award and a patent for the same idea! See this Chinese website at www.eipm.com.tw for information on his "Universal Lubanga Lock." If you translate the page using Google, you'll note that the description text sounds like my introductory text to this section on traditional six-piece burrs. The LiveCube example shown even uses yellow cubes for the interior. Check out the Internet Archive "Wayback Machine" and take a look at the snapshot of my website from October of 2004 to see that I had this idea pretty early on. Hmmm. Can you say, "prior art?"

Here is another website showing a collection of burr pieces made from a LiveCube-like building unit: Xu Jiang's page at rubiks.tw.

 



This is a "Professor" burr set from the Yamanaka Kumiki Works in Japan. (I've also seen it called the "Professional Puzzle" set.) Its twelve length-8 pieces can be used to assemble at least four different traditional 6-piece burrs. The set includes only notchable pieces:

1, 18, 52, 154, 188, 256 x2, 824/975, 992, 1024 x2.

 


Wayne Daniel made this nice set of 42 of the notchable pieces which can be used to make 314 solid burrs, of Mahogany wood, with a Walnut box. Each piece is 0.75" square and 2.5" long, so his unit cube is 3/8 inches on an edge, and these are "length 6." The set includes a series of cards listing the six-tuples of each of the 314 burrs, and giving assembly hints by telling the adjacent pairings.

Unfortunately, I have found that certain holey burrs that are constructible from the notchable set, cannot be made to work using Daniel's set - his esthetic beveled treatment of the ends of the pieces, while fine for the 314 solid burrs, prevents certain necessary movements when trying the holey burrs. In particular, designs which use the "jutting jaw" technique as in the JVK 25.1 design, don't open far enough to allow the 3/8" cubie of a piece to pass through.

 


I have seen various burr puzzle sets for sale:

Wayne Daniel, and Pentangle, both at one point offered sets of 42, but they're not being produced any more as far as I know. Dick Wetters also offered sets, but he, too, has stopped.

 

Catalogue of Burrs to Try

This section gives a list of burrs to try once you have a set (or can make your own pieces, for example from LiveCube or Lego). I've included solid and holey designs. There are several sources that give the full list of all 314 solid burrs that can be produced with the set of 42 notchable pieces, including Slocum and Botermans' 1987 Puzzles Old and New; I have not attempted to give that full list here. Rather, I have tried to catalogue interesting puzzles I've run across and give their names or designers when I know them.

The catalgoue below is ordered by piece number - with the six pieces sorted by number, lowest first. Mirror pair pieces are listed together. I have color-coded the pieces per my guide tables above, to try to make it easier to see how the designs may be related. In addition...

  • pieces highlighted in this color are from the table of additional pieces. Of these, the pieces 512/768 are used frequently and are specially highlighted. If a burr's piece list does not contain any pieces highlighted like this, then it (most likely) can be constructed using the set of 42 notchable pieces.
  • Puzzles highlighted like this are the four common designs.
  • Puzzles highlighted like this are the four puzzles made with the Professor/Professional Puzzle set.
  • Puzzles highlighted like this are the "Fearsome Four."
  • Puzzles highlighted like this are Stewart Coffin's three designs.
  • Puzzles highlighted like this are a small selection of Bill Cutler's designs. (Bill gives lists of "holey" burr designs, and other burr designs on his site.)
  • Puzzles highlighted like this are mentioned on Bruno Curfs' site.
  • Puzzles highlighted like this are ranked easiest by Curfs. You might use these to introduce a beginner or a child to this category. Incidentally, Curfs, Coffin, and Cutler rate Cutler's #306 as the most difficult of the notchable solid burrs.
  • Puzzles highlighted like this are Jurg von Kanel designs.
  • Puzzles highlighted like this are Peter Roesler's designs.
  • Puzzles highlighted like this are David Winkler's designs.
  • Puzzles highlighted like this are Keiichiro Ishino's designs. Ishino offers extensive analysis of the six-piece burr (as well as many other puzzles), giving catalogues of pieces and of designs. He lists many of the puzzles listed here, too.
  • Puzzles highlighted like this are the 15 burrs described by Edwin Wyatt in his 1928 classic Puzzles in Wood.
  • Puzzles highlighted like this are the 3 oldest depicted with specific pieces in western literature


The book 100 Puzzles - How to Make and Solve Them, written by Anthony S. Filipiak, was published in 1942 by A. S. Barnes and Company. In his book, Filipiak includes a section on the "Six Piece Burr Puzzle," beginning on page 79. He says that though he has over a thousand mechanical and manipulative puzzles in his collection, his favorite puzzle is the six piece burr.

He gives diagrams for 38 burr pieces, and lists his "prize collection" of 73 burr puzzles using those pieces, "collected the world over by correspondence, travel, and research into ancient books of magic, tricks, games, and puzzles." He admits "no doubt there are a few more to be added."

I have not reproduced all 73 designs here, but I highlight Filipiak designs like this.

Filipiak's notes seem to contain several errors: his pieces #2 and #32 appear to be duplicates of what I call #18; his #10 as drawn equals my #463, but that interpretation results in several of Filipiak's designs having no solution - from its position in his list it might be a mistaken drawing of my #911, the complement to its neighbor #11 which is my #792.

Filipiak missed pieces #35 and #86, but there are only 3 uses of #35 among the 314 solid burrs, and few of #86. He also missed the pair 856/943, but neither of those are used often, either.

Several of the designs in his list of 73 puzzles, when I checked using Jurg's applet, have no solution - maybe the wrong pieces were listed, or as previously noted, the actual configuration of the pieces themselves are open to interpretation. Or, perhaps Filipiak himself hadn't bothered to actually construct all of the designs - but that seems unlikely given his enthusiasm. I cannot imagine that his editor could have checked the work, however!

Anyway, herewith my list, also "collected the world over!"


  1. 1, 52, 188, 1024 x3
    - Wyatt #3, Filipiak #4
  2. 1, 52, 256, 928, 1024 x2
    - Wyatt #6, Filipiak #2 ; also U.S. Patent 1425107 - Levinson 1922. May be the earliest known burr, depicted in a 1733 book by Pablo Minguet y Irol (b. 1700 d. ca. 1775). Appeared as the "Small Devil's Hoof" in a 1785 catalogue.
  3. 1, 52, 256, 960/992, 1024
    - Filipiak #3 (corrected) - substituting 824 for 992, as given in Filipiak, won't work
  4. 1, 52, 256, 1024 x3
    - Wyatt #13, Filipiak #1
  5. 1, 52, 824, 992, 1024 x2
    - Filipiak #7 - the mirror of his #6. Professional Puzzle set #3
  6. 1, 52, 824, 1024 x3
    - Filipiak #5 - 1 solution; compare to Wyatt #11
  7. 1, 52, 960, 975, 1024 x2
    - Filipiak #6 - an improvement on Wyatt #11, substituting 960 for a 1024 and thereby eliminating the single void.
  8. 1, 52, 960/992, 888 or 1007, 1024
    - Filipiak #10 (use 1007), Filipiak #11 (use 888) - 2 solutions each.
  9. 1, 52, 975, 1024 x3
    - Wyatt #11

  10. 1, 86, 871, 1024 x3
    - 0;1:1 - the only use of piece #86 with the key #1 - requires piece #871 - easy

  11. 1, 103, 188, 1024 x3
    - An "anomaly" with "inside" cubies showing
  12. 1, 103, 256, 928, 1024 x2
    - Wyatt #8, Filipiak #28, Chinese Puzzle E
  13. 1, 103, 256, 960/992, 1024
    - Filipiak #37 - 3 solutions

  14. 1, 120, 188, 960/992, 1024
    - Filipiak #47 - 1 solution
  15. 1, 120, 871, 928, 1024 x2
    - Filipiak #48 - 1 solution
  16. 1, 128, 188, 512, 960/992
    - from Peter Kaldeway's site
  17. 1, 128, 512, 792, 928, 1024
    - Soviet Hedgehog

  18. 1, 154, 256 x2, 1024 x2
    - Wyatt #5, Filipiak #12, Professional Puzzle set #1. This one is very easy (BC #2). Any burr using 2x1024 is easier than most - adding 2x256 makes it somewhat trivial. See plans for Betelgeuse at www.craftsmanspace.com.
  19. 1, 154, 256, 888 or 1007, 1024 x2
    - Filipiak #22 (corrected, use 888 not 103 as listed), Filipiak #23 (use 1007)
  20. 1, 154, 871, 1024 x3
    - Wyatt #7, Filipiak #42

  21. 1, 188 x2, 256, 1024 x2
    - Filipiak #24
  22. 1, 188, 256 x2, 928, 1024
    - Filipiak #15
  23. 1, 188, 256 x2, 960/992
    - Filipiak #16
  24. 1, 188, 256 x2, 1024 x2
    - Wyatt #4 (also #12), Filipiak #14, can be made with the Professor set
  25. 1, 188, 256, 824, 992, 1024
    - Filipiak #27, Yamanaka Black set, can be made with the Professor set
  26. 1, 188, 256, 824, 1024 x2
    - Filipiak #25; compare to Wyatt #14; can be made with the Professor set
  27. 1, 188, 256, 960, 975, 1024
    - Filipiak #26; Described in Hoffmann's 1893 Puzzles Old and New Chapter III as No. XXXVI "The Nut (or Six-piece) Puzzle"; also sold as the "Burr Puzzle" by Toys From Times Past.
  28. 1, 188, 256, 975, 1024 x2
    - Wyatt #14, can be made with the Professor set
  29. 1, 188, 512, 576, 976, 1024
    - Dreveny Kriz II
  30. 1, 188, 512, 832, 975, 1024
    - Devil's Knot, G4, Chinese Puzzle B
  31. 1, 188, 768, 824, 976, 1024
    - HABA Teufelsknoten; Puzzlemaster.ca calls this the Enigma; also known as "Notched Sticks." The pieces are kind of the "mirror image" of the Devil's Knot above - pick either the left or right of each of the three twins: 512/768, 832/976, and 975/824. Also see plans for Cassiopeia at www.craftsmanspace.com.
  32. 1, 188, 824/975, 1024 x2
    - The Yamato Block Puzzle, Filipiak #44, Professional Puzzle set #2. Easy. Also appeared as the "Locked Cross" from New Zealand. Also see U.S. Patent 1350039 - Senyk 1920.
  33. 1, 188, 871, 928, 1024 x2
    - Filipiak #43, Yamanaka Orange set
  34. 1, 188, 871, 960/992, 1024
    - Filipiak #46 - 3 solutions

  35. 1, 256 x3, 928 x2
    - The Diabolical Structure - possibly the easiest (BC #1). Filipiak #13
  36. 1, 256 x2, 792 or 911, 928, 1024
    - Filipiak #17 (use 911) and Filipiak #18 (use 792)
  37. 1, 256 x2, 792 or 911, 960/992
    - Filipiak #20 (use 911) and Filipiak #21 (use 792) - compare to Filipiak #17/18 and note how the 928+1024 pair replaces the 960/992 pair.
  38. 1, 256, 792, 928, 1007, 1024
    - vintage small brown wooden burr I got from England; see plans for Andromeda at www.craftsmanspace.com, where you can find several puzzle plans for woodworkers.
  39. 1, 256, 824/975, 928, 1024
    - The Ivory Chinese Cross Burr set; also Wyatt #1, Filipiak #29; Chinese Puzzle G; the Maltese Cross keychain from Bell; Admiral Makarov's Puzzle from Russia; appears as the Chinese Cross in The Boy's Own Toymaker by Landells et. al. 1859, and in 1857 in the Magician's Own Book; also see U.S. Patent 1388710 - Hime 1921, for these pieces on a string.
  40. 1, 256, 824/975, 960/992
    - Filipiak #41 - 2 solutions
  41. 1, 256, 928, 960, 975, 1007
    - Filipiak #38; no soln for this set, but compare to the "Chinese Star"
  42. 1, 256, 888, 928, 960, 975
    - Saw this as the "Chinese Star."
  43. 1, 256, 888/1007, 928, 1024
    - Triple Cross

  44. 1, 359, 888, 960, 928, 1024
    - A tricky solid burr I like
  45. 1, 464, 768, 800, 832, 1024
    - Brown's Burr - See U.S. Patent 1225760 - Brown 1917.
  46. 1, 792, 824/975, 1024 x2
    - Chinese Puzzle F - compare to Wyatt #2
  47. 1, 824/975, 911, 1024 x2
    - Wyatt #2, Filipiak #49, if his #10 = 911

  48. 18 x2, 256 x2, 1024 x2
    - The 3rd easiest burr (BC #3).
  49. 18 x2, 512/768, 1015, 1024
    - Filipiak #63 - 1 solution
  50. 18, 35, 871, 1024 x3
    - one of only 3 uses of piece #35 among the 314 solid burrs.
  51. 18, 52, 256 x2, 928, 1024
    - 4 apparent assemblies but only 1 solution. Not too tough.
  52. 18, 52, 256, 824, 992, 1024
    - Professional Puzzle set #4
  53. 18, 52, 256, 911, 1024 x2
    - Wyatt #10, Filipiak #66, if his #10 = 911
  54. 18, 52, 871, 928, 1024 x2
    - Yamanaka Green set
  55. 18, 86, 871, 960/992, 1024
    - one of only two uses of piece #86 without the key #1 among the 314 solid burrs.

  56. 35, 52, 871, 928, 1024 x2
    - the second of only 3 uses of piece #35 among the 314 solid burrs.
  57. 35, 52, 871, 960/992, 1024
    - the third of only 3 uses of piece #35 among the 314 solid burrs, this set goes together 3 ways.
  58. 35, 359, 960/992, 975, 1024
    - EFNOQY discussed by Bruno Curfs
  59. 35, 975, 992 x2, 1024 x2
    - EOOQYY - Simple Lock

  60. 52 x2, 103, 871, 1024 x2
    - Wyatt #9, Filipiak #64 - NOTE - this set doesn't work - it has too many interior cubes. Why did they both include it?
  61. 52 x2, 256 x2, 928 x2
    - Another very easy burr - BC #4
  62. 52 x2, 256, 911, 928, 1024
    - Yamanaka Yellow set
  63. 52, 56, 792, 975, 928, 1024
    - Chinese Puzzle C (3 solns.)
  64. 52, 86, 871, 928, 960/992
    - the 2nd of only two uses of piece #86 without the key #1 among the 314 solid burrs.
  65. 52, 88, 768, 888, 992, 1024
    - Bill Cutler's BB31-10-40 - the least un-notchable 1-hole level 3
  66. 52, 103, 871, 928, 960/992
    - LNOPST - 3 assemblies, 1 solution; Bruno Curfs rates this 5th hardest among the solid notchables
  67. 52, 154, 256 x2, 911, 1024
    - Filipiak #65 - no solution even if his #10 is 463 or 911; compare to Wyatt #15 below - instead of 256x2 there is 1024x2. Seems like there's space for 256, but the puzzle cannot be assembled then. Another mistake in Filipiak?
  68. 52, 154, 256, 911, 1024 x2
    - Wyatt #15 - 3 solutions
  69. 52, 256, 888/1007, 1024 x2
    - Jurg von Kanel's Burr in a Cube - assemble this inside a cubic cage.
  70. 52, 615, 792, 960/992, 975
    - Bill Cutler's No. 305. A nice 3x3 slide. gamesandpuzzles.co.uk has it.
  71. 52, 615, 792, 871, 960/992, 975
    - Gemani's Double Bill (combines Cutler's 305 and 306)
  72. 52, 615, 871, 960/992, 975
    - Bill Cutler's No. 306. - Cutler, Coffin, and Curfs say this may be the most difficult notchable solid burr.
  73. 52, 615, 856, 928, 960, 975
    - 52+928 (DV or PL) makes a 2-piece key
  74. 52, 792/911, 824/975, 1024
    - The 6-way (Rainbow). 8 apparent assemblies, 6 solutions. An old one sold as "The Zoozzler." Also the vintage "Mikado."

  75. 55, 508, 768, 812, 960, 1023
    - Derwin Brown's Unique Level 6
  76. 56, 94, 156, 704, 1008, 1024
    - Stewart Coffin's Triple Slide
  77. 56, 276, 792, 832, 975, 1024
    - Chinese Puzzle D (1 soln.)
  78. 63, 480, 512, 766, 896, 1012
    - Curfs BC UL7000
  79. 72, 112, 448, 511, 990, 1024
    - Stewart Coffin's No. 40 Interrupted Slide (1979) - one of the "Fearsome Four"
  80. 86, 160, 224, 992, 957, 1016
    - JVK #25.2 derivation
  81. 86, 256, 911, 992, 928, 1024
    - JVK #25.2 - a level 3 design which uses piece #86.
  82. 88, 160, 512/768, 992, 1008
    - Edward Hordern's modification to Peter Marineau's Piston Burr - 13 solutions, one at level 10
  83. 88, 512, 704, 960/992, 1008
    - Bruce Love's Dozen. The only burr at the highest level, 12. There are 89 ways to put it together, but most of them don't achieve level 12.
  84. 88, 512/768, 922, 1008 x2
    - Peter Marineau's Piston Burr - The highest level, 9, with a unique solution.

  85. 103, 160, 224, 824, 928, 1024
    - Millable 5.4
  86. 103, 188, 256, 928, 975, 1024
    - Jurg von Kanel's jvk25.1 - Note: the notch in piece #256 (X) in my copy of the Wayne Daniel burr set is too short and prevents piece #975 (Q) from being removed, so this one cannot be constructed using the set.
  87. 103, 256 x2, 824, 928, 960
    - LNRSXX - unique level-5 solution, discussed by Bruno Curfs
  88. 103, 256 x2, 928 x2, 960
    - LLNSXX - unique level-5 solution, discussed by Bruno Curfs
  89. 103, 256, 412, 824, 928, 1024
    - Jurg von Kanel's favorite notchable burr
  90. 103, 508 x2, 824, 928, 1024
    - David Winkler's favorite level 5.4 Millable burr
  91. 103, 760, 960/992, 996, 1024
    - Bill's Baffling Burr; Gemani's Deadlock - 5 moves to release the 1st piece. One of the "Fearsome Four."

  92. 109, 188, 736, 928, 1008, 1024
    - Bruno Curfs' BC L6000 - nice, 6 moves to free the 1st piece
  93. 120, 154 x2, 256, 1024 x2
    - Ishino's Notchable 5-Moves 2-Hole - (a set of 42 does not have 2x 154) Note: again, the problem with #256 in the Wayne Daniel set prevents this construction.
  94. 120, 154, 188, 928, 1024 x2
    - KLMUYY can be made with the set of 42
  95. 120, 154, 256 x2, 960/992
    - KNOUXX - only multiple level-5 solutions
  96. 120, 160, 256, 512, 880, 960
    - Philippe Dubois/Gaby Games - 6 moves to release the 1st piece. One of the "Fearsome Four."
  97. 120, 188, 670, 928, 992, 1024
    - David Winkler's favorite 5.4
  98. 120, 188, 792/911, 975, 1024
    - Ishino's Notchable 2-Moves 1-Hole #3
  99. 120, 188, 871, 928 x2, 1024
    - Tumult - try to find the level 7 solution.
  100. 120, 792/911, 824/975, 992
    - Bill Cutler's Notchable 1-Hole Level 2 - uses only notchable pieces and has only one void - 4 solutions, one at level 2.

  101. 126, 615, 820, 856, 928, 1024
    - Stewart Coffin's No. 36 Improved Burr (1979) - One of the "Fearsome Four."
  102. 144, 495, 702, 975, 990, 1024
    - Abad's Level 5.7 Improved Burr
  103. 154, 256 x4, 1024
    - U.S. Patent 1542148 - Kramariuk 1925.
  104. 158, 768, 824, 863, 992, 1012
    - Curfs BC UL5000
  105. 160, 188, 412, 751, 960, 1024
    - Ishino's Millable Unique 5.4.2-Moves 4-Hole
  106. 160, 499, 512/768, 926, 1015
    - Bill Cutler's Computer's Choice 5-Hole
  107. 160, 508, 736, 742, 768, 1015
    - Abad's Level 9 Burr
  108. 188, 256, 615, 975, 928, 1024
    - GLMQXY - this one works like JVK 25.1
  109. 188, 256, 768, 824/975, 1024
    - Old black Treen Burr seen on antiques site - level 3, 2 solns. (assuming it uses pc #256 rather than 1)
  110. 192, 736, 768, 976, 1007, 1008
    - Peter Roesler's #G

  111. 256 x5, 992
    - David Winkler's Level 3 - use either of the Fingers 960/992, or 928.
  112. 256, 551, 960/992, 992, 928
    - Bill Cutler's L5 Notchable - one of 139 designs using only notchable length-6 pieces and having a unique solution
  113. 256, 792/911, 943, 960, 1024
    - Curfs mentions CDINXY and rates this the third hardest (UL4 #3) of the five level-4 puzzles with unique solutions among the holey burrs constructible using the notchable pieces.
  114. 256, 824, 911, 928, 943, 1024
    - Curfs mentions CINRXY and rates this the second hardest (UL4 #2) of the five level-4 puzzles with unique solutions among the holey burrs constructible using the notchable pieces. This one works with the Wayne Daniel set and has nice dead-ends.
  115. 256, 824, 911, 943, 960, 1024
    - Curfs mentions CILRXY and rates this the fourth hardest (UL4 #4) of the five level-4 puzzles with unique solutions among the holey burrs constructible using the notchable pieces.
  116. 256, 911, 943, 960, 960/992
    - Curfs mentions CINNOX - this gets his "beauty prize" and rates fifth hardest (UL4 #5) of the five level-4 puzzles with unique solutions among the holey burrs constructible using the notchable pieces. Works with the Wayne Daniel set.

  117. 311, 768, 869, 924, 1015, 1024
    - Bill Cutler's Computer's Choice 3-Hole (Level 7 unique soln) - of 2.5 billion 3-hole assemblies, 198 have level-7 solutions and of those 157 have unique solutions
  118. 359/615, 928, 960, 990, 1024
    - Abad's Level 4 Ambiguous Burr (maybe try using 992 instead of 990?)
  119. 359/615, 943, 960/992, 1024
    - Bruno Curfs' FGINOY - you can sub. 856 (J) for 943 (I) - 156 apparent, 4 level 2.2 solns
  120. 359, 871, 943, 928, 1007, 1024
    - Bruno Curfs' Monster FILTVY - unique level 3 soln, 36 apparent - may be the most difficult notchable holey burr
  121. 412, 512, 480/704, 704, 960
    - David Winkler's complex 5.4 - 1 solution but 143 apparent assemblies, the most for length-6 notchable. (All of these pieces are actually notchable.)
  122. 412/670, 687, 1007, 1024x2
    - XSOHO Burr - use length-8 pieces for a single level 4.6 solution
  123. 416/672, 448, 848, 983,1024
    - Level 5.3 "Big Burr"
  124. 416, 512, 856, 960, 1013, 1015
    - Peter Roesler's #C
  125. 448/736, 512, 743, 880, 1015
    - Curfs BC UL6000
  126. 463, 564, 760, 909, 927, 1016
    - Tenyo Brother; also Filipiak #72, if his #10 = 463
  127. 480, 511, 512, 989, 1015, 1023
    - Peter Roesler's #D
  128. 509, 511, 792 x2, 788, 1023
    - Filipiak #73 MODIFIED by me
  129. 512, 476, 757, 956, 1021, 1024
    - Bill Cutler's Programmer's Nightmare - requires a rotational move! (Use length-8 pieces.)
  130. 624, 702, 768, 883, 1015, 1024
    - Bill Cutler's Computer's Choice Unique 10 (CCU10). Use length-8 pieces. Maybe the hardest burr overall?
  131. 702, 768, 869, 944, 1015, 1024
    - Brian Young's Mega Six - a derivative of Cutler's CCU10
  132. 737, 871, 928, 956, 1000, 1024
    - Bill Cutler's Computer's Choice 4-Hole (Level 8 unique soln) - of 4.7 billion 4-hole assemblies, 15 are level-8 and of those 13 have unique solutions
  133. 856, 871, 911, 960/992, 1024
    - Bill Cutler's Bin Cross - presented by Toyo as length-8 pieces which must be assembled inside a slotted glass cage.
  134. 871, 911, 943, 960, 1007, 1024
    - Curfs mentions CINTVY and rates this the hardest (UL4 #1) of the five level-4 puzzles with unique solutions among the holey burrs constructible using the notchable pieces.

Sources

There are plenty of burr puzzles for sale out there - for example:

Theory

The recent history of discovery related to the burr puzzle seems to me like the history of world exploration - at first, the "known world" was small and encompassed some well-traveled areas, beyond which lay either the "edge of the world" (for those who thought they had seen all the burrs and only "a few" remained to be found), or a "terra incognita" that stretched off into the hazy distance.

Decades, perhaps even centuries, of exploration served to extend the frontiers of what was known, with some impressive voyages of exploration by intrepid souls using relatively primitive technology. But it was not until the computer age and Bill Cutler that a "satellite view" became available, delimiting the "globe" and showing its full extent - 35 billion assemblies.

Most of that area is "water" - assemblies that cannot be constructed. Roughly 17% is "land" - the 5.95 billion constructible burrs. The "Old World" of the solid burrs stretches across 119,979 assemblies, and features many well-known cities and well-traveled routes. Cutler's satellite view has identified several impressive peaks in the larger world beyond, and much ground remains unexplored.

Are the burr pioneers really "inventors?" Or, like the explorers of old, are they really more "discoverers?"

I don't claim to have "invented" any unique burr puzzles myself, but like others I have spent some time exploring the world that Cutler delimited.

In particular I have been interested in finding high-level (holey) burrs that can be made with the notchable set, at length 6. Bruno Curfs has utilized computer analysis performed by Keiichiro Ishino, and makes several output files available at his site. Bruno mentions and discusses several burrs already.

Here are a few holey burrs made with the notchable set, which I'd like to flag as of interest:


The core:

  +----+               
 /  1 /|               
+----+ |       +----+  
|    | +----+-/  2 /|  
|    |/ 4   5+----+ |  
+    +       |    | +  
| 3 /        |    | |  
|  +----+----+    + |  
+--|  6   7    8  | +  
   |              |/   
   +    +-|/-+----+    
   |    | +  10        
   |  9 |/             
   +----+              
Of the 314 solid puzzles that can be made with the 25 notachable pieces, there are 158 that use the key piece #1. If you start with 6 Y pieces and make one key piece, you use up 10 of the 20 "floating" interior cubies. The "core" shown here is then composed of the 10 interior cubies that remain to be distributed among the other 5 pieces.

Imagine that the key piece goes into the page resting on the plane formed by the core cubies labeled 4,5,6, and 7. The other 5 pieces would start as instances of the "minimal" piece #1024 (Y), and acquire some share of the 10 cubies of the core.

Note that no single piece can have all 10 - this would result in a second key piece, which some reflection should convince you doesn't work.

I have chosen an arbitray orientation for the other 5 pieces, which I'll call P1 through P5, resulting in the particular core shape shown. Other shapes are possible. Imagine P1 through P5, oriented around the core as follows.

  • P1 is vertical on the left; the 2-cubie notch of P1 fits on 1 and 3, and its "arms" face right.
  • P2 is vertical on the right; the 2-cubie notch of P2 fits on 2 and 8, and its "arms" face left.
  • P5 is horizontal, into the page below the key piece, and fits on 9 and 10, with its arms facing up.
  • P3 is horizontal across the page in front, with the notch upwards and the arms facing the rear.
  • P4 is horizontal across the page in the rear, with its notch upwards and its arms facing the front.

The following chart shows how the floating pieces might be distributed, converting P1 through P5 into pieces other than Y. Note that cubies 1 and 3 must be allocated as a pair. (Why? Because if they are split up, it results in some pieces which are not notachable.) Likewise for the pairs 2 and 8, and 9 and 10.

1 and 3 2 and 8 4 5 6 7 9 and 10
P1
  • x
  • x
  • x
  • P2 x
  • x
  • x
  • x
    P3 x
  • x x
  • x
    P4
  • x
  • x x x
    P5
    (opp. key)
    x x
  • Now, consider the possibilities for building up P5...

    P5 plus (none) 5 7 (5,7) (9,10) (4,5,9,10)
    (6,7,9,10)
    (4,5,6,7,9,10)
    equals Y W X V J I H

    Note that, given the chosen orientation, P5 cannot include 4 or 6 without including 9 and 10 - they would be hanging off in space unsupported.

    So, what's wrong with this analysis? It gives an incomplete list of possible pieces for P5! Missing are: E, G, Q, U, P, and S. Why? It is a consequence of my original arbitrary orientation of the Y pieces. P5 has access to two additional cubies on each end, provided two things happen:

    P5 plus (none) 5 7 (5,7) (9,10) (4,5,9,10)
    (6,7,9,10)
    (4,5,6,7,9,10)
    equals Y W X V J I H
    plus 2
    equals
    Q or U S P not possible G E not possible

    The two extras have to be taken on the same side the M piece will be placed - they cannot come one from each side since that results in internal corners again. This is only possible due to the symmetric nature of piece M, which allows its crossbar to be fitted inboard of where crossbars normally go. If you try this with my LiveCube pieces described above, some of the yellow "internal" cubies of the M piece will show on the outside due to the necessary rotation.

    For puzzles using the key piece A, piece M can never appear more than once.

     

    Here is a list of the 17 configurations employing one of E,G,Q,U,P, or S opposite A. All require an M. There are only 5 other configurations that use M - these do not require its rotation. All are very easy.
    1. AH-YM-YY
    2. AI-VM-YY
    3. These are three solutions for the same pieces:

    4. AI-WM-YX
    5. AI-XM-WY
    6. AI-YM-WX
    1. AE-YM-YY
      (There is only one AE since E uses 6 of 10 available floating cubies, and M the other 4, demanding that all the rest be Y pieces.)
    2. AG-VM-YY
    3. AG-WM-YX
    4. AG-XM-WY
    5. AG-YM-WX
    6. AQ-VM-QY
    7. AQ-WM-QX
    8. AQ-XM-OY
    9. AQ-YM-OX
    1. AU-VM-YU
    2. AU-WM-YT
    3. AU-XM-WU
    4. AU-YM-WT
    5. AP-WM-QY
    6. AP-YM-OY
    7. AS-XM-YU
    8. AS-YM-YT

    Let's look at how the remainder of the 158 configurations break out based on the choice for P5. One would assume, the more floating cubies used by P5, the fewer associated configurations.

    The fewest should occur when P5 = H, using 6 of the 10. One might think the remaining 4 could be split as follows: 4/0/0/0, 3/1/0/0, 2/2/0/0, 2/1/1/0, 1/1/1/1. However, P5 as H has used 4,5,6,7,9, and 10, leaving the pairs 1/3 and 2/8 which cannot be split. This means only 4/0/0/0 and 2/2/0/0 are possible divisions. We've already seen AH-YM-YY; the M uses the remaining 4, requiring 3 Y pieces.

    There are only 4 AH configurations, as follows.

    1. AH-YM-YY (4/0/0/0) - both pairs part of same horizontal piece M
      (Note: making each pair part of a different horizontal piece P3=U and P4=U makes the burr impossible to construct!)
    2. AH-YQ-JY (2/2/0/0) - one pair to a horizontal piece and one pair to a vertical piece
    3. AH-YU-YJ (2/2/0/0) - mirror image of above
    4. AH-YY-JJ (2/2/0/0) - both to vertical

    The next smallest class should be the AI configurations. The I piece used 4 out of 10, leaving 6. 1/3 and 2/8 still must be assigned as pairs, but 4 and 5 can be independently allocated to different pieces. The possibilities: 6/0/0/0, 4/2/0/0, 4/1/1/0, 3/2/1/0, 2/2/2/0, 2/2/1/1.

    There are 16 AI configurations as follows:

    1. AI-QN-YY (4/2/0/0) both horizontals, 1/3 and 2/8 separated
    2. AI-QO-XY (3/2/1/0)
    3. AI-UR-YY mirror of QN
    4. AI-UT-YW (3/2/1/0)
    5. AI-VM-YY (4/2/0/0) both horizontals, 1/3 and 2/8 together in M
    6. AI-VQ-JY (2/2/2/0)
    7. AI-VU-YJ mirror of VQ
    8. AI-WM-YX (4/1/1/0)
    9. AI-WQ-JX (2/2/1/1)
    10. AI-XM-WY (4/1/1/0) mirror of WM
    11. AI-XU-WJ (2/2/1/1)
    12. AI-YF-YY (6/0/0/0) an anomaly with inside cubies showing
    13. AI-YM-WX (4/1/1/0) same pieces as WM-YX above
    14. AI-YN-JY (4/2/0/0)
    15. AI-YR-YJ (4/2/0/0) mirror of YN
    16. AI-YV-JJ (2/2/2/0)
    V uses only 2, leaving 8 - the pairs 1/3, 2/8, and 9/10, and 4 and 6.

    The 16 AV configurations:

    1. AV-QO-YT (3/3/2/0)
    2. AV-UT-OY mirror of QO
    3. AV-WK-QY (5/2/1/0)
    4. AV-WP-GY (4/3/1/0)
    5. AV-WT-QJ (3/2/2/1)
    6. AV-XL-YU (5/2/1/0) - a little tricky
    7. AV-XO-JU (3/2/2/1)
    8. AV-XS-YG (4/3/1/0)
    9. AV-XW-JG (4/2/1/1)
    10. AV-YK-OY (5/3/0/0)
    11. AV-YL-YT (5/3/0/0)
    12. AV-YO-JT (3/3/2/0)
    13. AV-YQ-DY (6/2/0/0)
    14. AV-YT-OJ (3/3/2/0) - very common design (red, licorice stix, pendant)
    15. AV-YU-YD (6/2/0/0)
    16. AV-YY-JD (6/2/0/0)

    Not yet shown: AJ (21), AW (24), AX (24), AY (36).

    And that leaves the 156 configurations that don't use the key piece #1.

    The Diagonal Burr and The Diagonal Star

    On the left is Knobulus by Haba. On the right is the vintage Jane's Puzzle by Drueke. Both are examples of the classic 6-piece diagonal burr. (The plastic "Lady" burr shown later on is another example.) The earliest relevant U.S. patent is 393816 - Chandler 1888. Also see 779121 - Ford 1905.

    The diagonal burr puzzle can be made from 6 identical pieces, each having two notches, but sometimes appears with a key piece that really isn't necessary. It can be [dis]assembled either by exploding/collapsing all the pieces simultaneously, or the pieces can be composed into two 3-piece halves that will easily slide together.


    This clever version of the diagonal burr is called Insoma. It has a hollow center in which a Soma Cube must be constructed simultaneously with the burr, since all but one of the Soma pieces are connected to the burr pieces! Designed and made by Mr. Puzzle Australia (Brian Young), and purchased at the NYPP 2008.


    These are examples of the Diagonal Star. It can be derived from the diagonal burr by beveling the ends of each of the pieces. The shape is formally known as the first stellation of the rhombic dodecahedron. (See Steven Dutch's site for a nice explanation of stellations of polyhedra.)

    After the traditional six-piece burr, I would say this is one of the best-known and most widely manufactured designs. The earliest patent seems to be Swiss - CH245402 - Iffland 1946; Iffland's design includes the unnecessary key piece. Read more about this puzzle in Chapter 7 of Stewart Coffin's The Puzzling World of Polyhedral Dissections. The rhombic dodecahedron also has a second and third stellation. Clever variations exist where the inside is hollow, forming a cubic cavity.

    This is called the "Asteroid" from Bits and Pieces. It has the same internal structure as the diagonal burr, but the pieces have been rounded off on the outside. It's not very precisely made, so it doesn't hold together very well.


    Here are true rounded versions of the diagonal burr - the pieces are cylindrical. Each of these puzzles employs an un-notched key piece. To accomodate the key piece, in each case, two of the pieces possess an extra notch at right angles to the usual two.

    This is The Ball by Charles O. Perry. I got it at the MoMA shop when I used to work in Manhattan. The brass pieces are cylindrical, with curved ends. The notches are cylindrical, too. It relies on a small spring-loaded ball-bearing and a corresponding detent to hold the key piece in place. I found an acrylic version, too - the MoMA shop sells it.

    This 6-piece burr has the same internal structure as the Perry Ball (without the detent and spring/ball), but this is made of Kel-Tec bullets! Fortunately they're not live rounds. This was an advertising premium at a gun show.
      
    Skor Mor's Log Jam - this is a rounded version of the diagonal burr. There was a brown plastic version, too, called Stumpa 1.


    This is the Sequential Star by Lee Krasnow. I bought one from him at IPP26, where it won an Honorable Mention in the Design Competition. It is the "little brother" to his Barcode Burr. Lee has incorporated a sequential opening mechanism into the traditional diagonal star, making this a much more interesting puzzle.

     

     

    Each of the six burr pieces is composed of three units - a center unit and two end units - held together by 18-8 stainless steel alignment pins and strong neodymium magnets. If undue pressure is applied to the puzzle in the wrong way, a piece can "burst" into its components - but it is easily re-assembled with no harm done. The end units are made of Macassar Ebony and are precision cut to beautifully sharp edges and points. Lee hooked up a CNC feed to his sled and the cuts were made on his table saw under computer control. The center units are made of a kitchen countertop material called Richlite - a sort of plastic-infused paper, which is climate-stable and machines nicely. Each end unit contains a peg that rides in grooves cut in the center units of adjacent pieces. The groove patterns are carefully contrived so as to dictate a particular sequence of moves through which you must navigate the six burr pieces in coordination, until the assembly finally can be slid apart into two 3-burr halves. The grooves were cut using Lee's CNC milling machine.

    Three-Piece Burrs

     
    These are examples of a common 3-piece design known as O-C-C, after the shapes of the three pieces. The OCC design was described by Edwin Wyatt in his 1928 book Puzzles in Wood (pp.24,25) - he called it the Three-Piece Cross. It has been produced in wood, and also in plastic as the Triple Cross by Skor-Mor.
    Here is a link to Jurgen Koeller's page showing the solution.
    Only a few other three-piece burr designs can be considered at all well-known. They are discussed on Jurg von Kaenel's site. One other common design employs two notched pieces, and a piece with a rounded shaft that allows the piece to be rotated in place. I made a copy from Lego, and posted photos on Brickshelf.


    This design was also described by Wyatt in Puzzles in Wood, on page 26. This is also the simplest form of a Pagoda or Japanese Crystal puzzle.


    The Three Piece Not designed by Frans de Vreugd and made from Sapelle and Padauk by Eric Fuller. Masquerades as the innocent OCC, but it's NOT. Eight steps to remove the first piece.

    This is Neptunus from Arjeu (CT1101). It is made of three notched plates.

    Triple Play - designed by Jim Gooch and made by Eric Fuller, from Walnut and Redheart.
    The solution requires an unconventional move, and Eric says some people thought it was an impossible object.

    The Schaekel Knot, made of Kingwood, by Tom Lensch, and purchased from CubicDissection. It was designed by Oskar van Deventer.

    Just the Three, designed by Jack Krijnen and made by Eric Fuller, from heavily Quilted Sapelle.
    A nice sequential level 7.2 assembly - according to Eric, the highest level possible for this form factor.

    The Slideways Burr designed by Ray Stanton and made by Eric Fuller, from Curly Maple. The 3 identical pieces assemble with coordinate motion.

    Note: this looks like the Improved Segerblom three-piece burr discussed on Jurg's site. The original design by Wilhelm Segerblom was published in the April 1899 Scientific American, and is described in Slocum and Botermans' Puzzles Old and New on page 66, as well as in the Book of Ingenious and Diabolical Puzzles on page 73.


    Tri Again - designed by Frank Potts, and made from Walnut and Maple by Eric Fuller. This actually has six pieces, but they interlace to form the traditional three-bar shape. Magnets hold the pieces in their closed positions.

    Three Open Windows, designed by Tom Jolly and made by Eric Fuller, from Bloodwood, Wenge, and Holly.

    Invented by Nob Yoshigahara, this little burr is a poseur - read about it on Jurg's site. A gift from Peter Wilshire at IPP-29 in SF. Thanks, Peter!

    I got this 3-piece burr, made of acrylic, at IPP 29 in SF.
    Several other unconventional designs using three pieces are shown on Ishino's website.

    Boxed Burrs

    This group usually has 4 or 6 pieces, interlocking inside a container. Some have irregular pieces.


    This is a boxed burr I got from Tom Lensch. Each face of the outer box is attached to one burr piece inside the cube. Freeing the key piece requires a trick. The burr pieces used are: #1, #256, #888, #911, #928, and #1024. The box definitely makes it easier to solve, since the faces are distinctly fitted. The mahogany wood is really beautiful.

    This is a 4-piece burr in a box from Arjeu, variously known as the "Secret Box" or "Pandora's Box" (I also made a copy from Lego). It employs (2x) #792, but the other two pieces have notches where Jurg's system does not allow them (beneath positions 1,4,5, or 8).

    This is the "Combustion" burr from B and P. My first became hopelessly jammed; I obtained another.

    "Life at 21"

    Burr in a Cube

    This puzzle from Bits and Pieces is called Hard Core and was designed by Frans de Vreugd.

    This boxed 6-piece burr is called Quantum Entanglement. It has a unique level 48 solution.

    The red puzzle is a 3-piece boxed burr called the Swiss Cube. There are two versions - easy and hard - they look the same from the outside, but their pieces are differently notched. I have both.
    The red and blue puzzle in a clear cube is called the U.S. Cube. It has six interlocking pieces. All created by Jurg von Kaenel.

    Innowoo Cube (?)

    Yin Yang - Pelikan
    An unusual six-piece burr inside a hollow ball. The Yin-Yang symbols are attached to the ends of the burr pieces.
    Purchased from Puzzlewood.de.

    Nested Burr Four
    CubicDissection

    Prisgon from Philos, designed by Markus Goetz
    Purchased in Prague.

    This is Swirls 1, designed by Bram Cohen. Purchased from Bernhard Schweitzer at IPP 29 in SF. Four pieces in a cage - a very difficult puzzle!

    Choreographed Motion, designed by Andreas Roever
    Purchased at IPP 29 in SF.
    The four pieces have angular cuts, and multiple pieces must be moved at once. Clever, and not overly difficult. Nicely made from acrylic.

    This is Quintuplets, designed by Franklin Gonsalves. Purchased from Bernhard Schweitzer at IPP 29 in SF.

    Kumiki Burrs

    The Japanese word "Kumiki" roughly means "to join/weave/interlock wood together." Figural/representational Kumiki puzzles were invented in Japan in the 1890s by Tsunetaro Yamanaka. Japanese craftsmen have a tradition of constructing earthquake-resistant wooden shrines using interlocking pieces without metal fasteners/nails, and Kumiki puzzles may have served as practice projects. Cleverwood has a nice write-up about Kumiki puzzles. The puzzles are usually inexpensive, and made from unfinished Japanese Magnolia ("Ho") wood - but modern versions have appeared in plastic. I group into this category any puzzle with a characteristic 2-piece T-shaped key, but there are four distinct sub-categories.

    I have several Kumiki-style puzzles, including...


    Shackman Clown - part of a fairly rare set of figures. Discussed in Slocum and Botermans' "The Book of Ingenious and Diabolical Puzzles" on page 86.

    A group shot of several other Kumiki burrs in my collection.

    The Cornered Cube from Wallingford Toy Works is a very large version of the usual kumiki cube, with a beveled corner.

    a wooden kumiki barrel

    an octagonal "barrel"

    "Hidden Passage"

    The 8-Ball puzzle is one of the first puzzles I collected as a kid.
    I finally found the five others in what I now know is the Odd Ball series issued by Norstar Toys Inc. of NY in 1970 (L to R, top to bottom):
     
    • Baseball
    • 8 Ball
    • Golf Ball
    • Basketball
    • Football
    • Bowling Ball
     

    a plastic ball

    a newer plastic ball

    The "Gold Moon" I got in Japan

    Here is a link to John Childs' extensive Kumiki collection.

    Geo Australia offers the "KumiKube" puzzle.

    Chuck and Pagoda Burrs

    The Chuck puzzle, according to Slocum and Botermans in Puzzles Old and New on page 74, was patented by Edward Nelson in 1897 (U.S. Patent 588705 - Nelson 1897). The design was improved and developed by Ron Cook at Pentangle Puzzles. Pentangle offers a series of chuck puzzles - the simplest is the Baby Chuck with 6 pieces. The Woodchuck (shown here) has 24 pieces, the Papa-chuck has 54, the Grandpapachuck has 96, and the Great Grandpapachuck has 150. Pentangle's Lunatic puzzle, also shown, is a close relative of the Chuck family.

    Richard Whiting's website offers a solution to the 24-piece Woodchuck. (The knock-off versions are called "Crystal" puzzles but that is a misnomer.)


    The Arjeu CT1102, the 51-piece Pagoda from Bits & Pieces, and the Miyako puzzles are examples of "Pagoda" or "Japanese Crystal" burrs. (Note that the Tower of Hanoi puzzle is sometimes called the Pagoda puzzle - but here we're talking about burrs.) You can see the pieces for several sizes of Pagoda puzzle at Ishino's Puzzle Will Be Played... website. Peter Kaldeway's website also has a nice page on pagoda burrs.

    A nineteen-piece Pagoda (and a similar 15-piece puzzle) are described in Wyatt's 1928 Puzzles in Wood on pages 33-37. Plans for a 51-piece Japanese Crystal are given in van Delft and Botermans' 1978 Creative Puzzles of the World on pages 77-79. Slocum and Botermans describe The Great Pagoda puzzle in their 1986 book Puzzles Old and New on page 73. They state that the simplest has only three pieces. Larger versions then have 9, 19, 33, 51, 73, 99, and 129 pieces. In general, the nth degree pagoda requires 2n2+1 pieces.

    The 3-piece version requires a rotating piece. I made a Lego 3-piece version shown on Brickshelf. The tiny Miyako puzzle is a 9-piece pagoda and does not require a rotation. You can see more Lego versions at Maarten Steurbaut's website.

    Last time I checked, you could buy a 129-piece pagoda from Cleverwood, where you can also find smaller sizes for sale. Creativecrafthouse.com sells 99-piece and 51-piece versions. Frik-n-Frak also sells a 99-piece pagoda. Kajeng Handicraft is an Indonesian distributer that carries pagoda burrs among other puzzles.

    The Altekruse Puzzle and Variants

    In 1890, William Altekruse patented (430502) an interlocking puzzle now known as the Altekruse Puzzle. You can read about the Altekruse puzzle in Stewart Coffin's The Puzzling World of Polyhedral Dissections. Many variations have been made. The Altekruse can be made with 12 or 14 pieces. Pentangle offers a 14-piece version called Hybrid, and a 12-piece version called Holey Cross. See a solution online at Casse-Tete et Solution.


    The Xeon Molecule by Skor-Mor is a plastic, modern-looking version.
    I managed to find 3 separate copies - one is all blue, one is red/white/blue, and the third is red/yellow/blue. One of them even came with a solution sheet. On two of them, some of the pieces had broken fins, but the bits were included and I was able to glue them back together.

    The vintage 12-piece Panel Puzzle by Adams is also a version of the Altekruse. This is also called the "Block Puzzle Senior." (I have a Panel Puzzle in the package, and a loose Block Puzzle Senior.)

    This is Arjeu CT679 - I purchased it from Ishi back when they offered such things. This variation of the Altekruse puzzle uses single pin/single hole pieces, six left-handed and six right-handed. Stewart Coffin describes this variation in his book, The Puzzling World of Polyhedral Dissections.

    Stewart Coffin developed and licensed the pinned version of the Altekruse puzzle which was marketed by 3M and Avalon Hill and named Frantix. Here are the 12 pieces of the plastic version of Frantix.
    [John Rausch's Frantix page]


    Kerry Verne made this version of Stewart Coffin's Giant Steps #10 puzzle, from Sapelle. Purchased from CubicDissection. This looks like a pagoda burr, but notice the missing blocks in the inner corners. It is actually an Altekruse variant.

    Coordinate Motion Assemblies

    In this type of puzzle, several (usually all) of the pieces must be moved in a coordinated fashion to achieve assembly or disassembly.


    This is called "Iwahiro's Apparently Impossible Cube #1." It was designed by Hirokazu Iwasawa. It was made by Eric Fuller from Chakte Cok wood.

    Duodeciburr
    Designed and made by Vaclav Obsivac
    Presented at IPP27 by Rick Eason
    12 identical pieces

    TriKubus by Rik Brouwer
    Purchased from Bernhard Schweitzer

    This is the Crystal Cube, designed by Bill Darrah. Purchased from Bernhard Schweitzer at IPP 29 in SF. I especially like this design because the pieces are not identical.

    Non-Traditional Burrs

    These are from the (defunct) French company Arjeu, which put out an extensive line of interlocking puzzles in a wide variety of shapes...

    Arjeu CT718
    This looks like the "Eighteen Piece Double Cross" described by Edwin Wyatt in his 1946 book Wonders in Wood, on page 31.

    Arjeu CT666
    Here is a link to a solution video on YouTube, and another in lower resolution.

    Arjeu CT16

    Arjeu CT28

    Arjeu CT152 La Lanterne
    From an Ergatoudis auction

    Arjeu CT14 "Criss Cross" (Altekruse)
    Here are some unusual burrs by various designers, from CubicDissection...

    The Switchboard Burr designed by Jim Gooch and made by Eric Fuller mixes pieces from 3 different styles of burr, and its solution employs a move one does not often see. The woods are: Pau Amerillo (the yellow), Wenge (the dark), and Bocote (the brown striped).

    This is Stewart Coffin's Octo-Burr design, made by Mark McCallum and purchased from CubicDissection. See the pieces on John Rausch's site.

    Die in Prison (with a central puzzle box), designed by Ronald Kint-Bruynseels and made by Eric Fuller. The six pieces are made of Bubinga, and the central cubic box is made of Yellowheart.

    Lassen Risti - made by Eric Fuller

    RD001
    Designed by Ronald Kint-Bruynseels and made by Eric Fuller at CubicDissection. Gum wood and Ipe.

    Anderson's Delusion
    Designed by Ronald Kint-Bruynseels. Made by Eric Fuller from Gum wood and Rosewood, and purchased from CubicDissection.
    These small but elegant burrs are made from a special plywood, from Pacific Puzzle Works...

    Knot Mass 36, designed by Oskar van Deventer. This instance is pretty small, at 36mm. It's made from a 5-ply maple core / maple-top hardwood laminate.

    Tubular Burr Box (aka Space Invaders), designed by Ronald Kint-Bruynseels. This instance is pretty small, at 36mm. It's made from a 5-ply cherry / maple-top hardwood laminate.

    Oskar's Egg
    A 3-piece ball inside a 2-piece egg. How does it come apart?
    These are members of the "Quad Squad" family of burrs with interchangeable pieces, from Viktor Genel...

    Quadrocube - Viktor Genel

    QuadroPrizm - Viktor Genel

    Long-Beamed Star - Viktor Genel
    The burrs below are from a variety of sources...

    Easy Livin' designed by Ronald Kint-Bruynseels
    Purchased from Bernhard Schweitzer at NYPP 2008
    This is notable because a copy sold for $11,111 in one of Nick Baxter's auctions!

    William Waite's Stellar Burr

    From Davan's, a Rojo

    P24 Marian's Puzzle - Drueke
    You can see a solution at Richard Whiting's site.

    Karin's Outline Burr

    Stewart Coffin's Lock Nut

    Sliced Burr - Philos

    Vesa Burr Simple - Philos
    - designed by Vesa Timonen for IPP21.
    A gift from Bernhard - thanks!

    Binary Burr - Bill Cutler

    The Blitz - Mr. Puzzle Australia

    Here is "Sonneveld's Illegal Burr" - Tom Lensch made it. It's "illegal" because a rotational move is required.

    The Twisty burr, designed by Derek Bosch and made by Tom Lensch. Purchased from Tom at NYPP 2008.

    The Boston Tea Chest, from Mr. Puzzle Australia. I have one of their Craftsman Range examples in Australian Flooded Gum wood. Six pieces, with a two-step internal locking mechanism. A traditional burr-solving computer program won't help you with this one.

    This puzzle from Imagin is a knock-off of von Kaenel's Coated Burr idea.
    You can see a solution on Richard Whiting's site.

    This is Ozone designed by Ronald Kint-Bruynseels. It is a six-board burr, with a "hook" attached to each piece. It requires 13 moves to remove the first piece, then 11 for the second. Ronald has designed several unusual burr-type puzzles, and you can see many of them at Bernhard Schweitzer's Puzzlewood site. Richard Whiting has put together a nice page at his site where you can read about several other high-level burrs.

    This is Frans de Vreugd's design he used for his exchange at IPP25. Frans calls it a Plated Six-Piece Burr. Mr. Puzzle Australia called it Around the Bend. Frans says he developed it while working on Bent Board Burrs. It uses pieces 120, 154, 256, 412, 960, and 1024. Each has a 2x4 unit plate attached to its right end. It is the highest level burr of this type with notchable pieces. It is made from Queensland Silver Ash (the light wood) and Queensland Blackbean.

    Decemburr - Mr. Puzzle Australia

    Coming of Age Mk.II - Mr. Puzzle Australia

    T Time - Davans

    Maruca - Davans

    Zinato - Davans

    Eight Piece Burr - made by Scott T. Peterson

    Yananose 2x3 Type 0

    QED - Pentangle

    TriRods by Serhiy Grabarchuk - from Bernhard Schweitzer

    Willem van der Poel's Grandfather 6x6x6 18-pc burr (rough handmade copy - unknown craftsman)
    Discussed on Pete Roesler's site, where you can read a brief history of this puzzle. You can see this on Ishino's site, too. This copy has one piece that differs from van der Poel's design - instead of piece "I" there is another "J."

    Bombay Co. Angles and Edges

    Dovetail Burr - B&P

    Double Cross - B&P

    Coming of Age - designed and made by Vaclav Obsivac
    Presented at IPP27 by Laurie Brokenshire
    Six pieces made from every possible combination of 3 (out of 18) 1x1x5 Walnut bars, plus 8 1x1x1 blocks.

    I bought this burr in Japan. It is made by the Yamanaka Kumiki Works. It is the "Masu Model."

    I bought this in a department store in Japan. It is called "The Cell" and was made in New Zealand.

    Mixed Pieces Burr #2
    - designed by Frans de Vreugd.
    Purchased from Frans at IPP28 in Prague.

    Double Kongming Lock

    Mercury Star

    The Desert Rose micro-burr, designed by William Waite and made by Allan Boardman, who is well-known for crafting microscopic puzzles. It's only 1/2 inch across! Made from walnut and masur birch. Purchased from William at IPP 29 in SF.

    Flange 99A, designed by Tom Jolly.
    Purchased at IPP 29 in SF.
    Laser-cut. Six pieces, only two identical. 8 moves for the first piece.

    Flange 77A, designed by Tom Jolly.
    Purchased at IPP 29 in SF.
    Laser-cut. Six pieces, all identical. 4 moves for the first piece.


    See Ishino's site for a list of six-board burrs.

    Here is a link to a solution video to Frans de Vreugd's Irregular Board Burr, on YouTube.

    Here is a link to a stop-motion video of several of Mr. Puzzle Australia's puzzles assembling themselves, on YouTube.

    See U.S. Patent 5040797 - Dykstra 1991 for an interesting burr that can be assembled in two distinct ways.

    Non-Traditional Burrs in Plastic or Metal


    George Miller made this version of Frans de Vreugd's "Extreme Torture" separated board burr. It takes 28 moves to free the first piece and then 21 more to free the second piece! Here is a link to the solution on George Miller's site.

    Here is an article at woodcentral.com by Steve Strickland about making 6-board burrs.


    Thinkfun now offers an inexpensive and colorful version of the Extreme Torture puzzle. They call it "Gordian's Knot" and it includes a step-by-step reversible solution booklet.
    You can see a solution on Richard Whiting's site.

    Sonneveld 9-piece Board Burr - made by George Miller.

    This is Junichi Yananose's H-Burr, made in aluminum and purchased from Torito.

    The Tubular Burr by Derek Bosch.
    Purchased from Derek at IPP 29 in SF.


    Here is a set of burr-type plastic puzzles I bought in Japan - they are members of a "Family:"


    Boy

    Papa

    Lady

    Brother


    The Dollar Tree store offered several puzzles in a series called "3 Dimension" including:


    Fancy Square

    Knot

    "Stack Cubes" (A Kumiki Cube)

    Interlocking Poly-cube Assemblies

    Scott T. Peterson is a talented craftsman who produces high-quality limited editions of puzzles in fine woods. He and I have been corresponding, and Scott has made a few instances of my 2 N's Cube design. Scott has joined the artists at CubicDissection. Scott has devised an attractive coloring scheme for the cube and made me the examples shown below - the first in Bocote and Yellowheart, and the second in Kingwood and Holly.

    I would rate the 2 N's Cube of medium difficulty - it shouldn't take long for an experienced metagrobologist to solve it, but I think it presents a good challenge for the casual puzzler, particularly if one starts with it disassembled and hasn't seen the assembled arrangement. The design is the product of a search "by hand" (i.e. without a computer) for a selection of non-planar pieces formed from two n-tetrominoes each that would allow interlocking assembly into a 4x4x4 cube. My "theme" was the frequent mis-spelling of my last name, which has two n's. I was pleased to discover an arrangement that used four pairs of pieces - thusly again doubling the double-n theme - and yet assembled in a way that was not completely symmetric.

    Scott's tolerances are so accurate that when I first received the cubes, I had trouble finding the disassembling moves! Naturally, wood tolerances vary with humidity, but Scott's pieces are very nicely made.

    Scott has made copies of my 2N's Cube No. 5 - he designed a very nice pattern based on the "five" theme (each face has five contrasting cubes), and made these two examples - the first from Ziricote and Orange Osage, and the second from Yellowheart and Wenge. Thanks, Scott, they're beautiful!

    The No. 5 design is the result of a computer-assisted search I did (using Andreas Röver's wonderful BurrTools program), trying to find a better design than the No. 1 I designed originally by hand. I don't think any of the designs I found by computer topped the No. 1, but of them, No. 5 is my favorite - it uses eight different pieces as opposed to the four pairs in the No. 1. I think No. 5 is more difficult to assemble, too.

    At IPP28 in Prague, Bernhard Schweitzer had a nice surprise for me - he presented me with a copy of my 2 N's Cube No. 5 that he had made - I believe the wood is Meranti. Thanks again, Bernhard!

    The French puzzler Guy Brette also made a copy - see a video on Guy's website.

    These are from Pentangle - all very nicely made:

    The Wookey Hole

    Mayer's Cube
    I credit (blame?) Mayer's Cube with getting me moving along on my collection.

    King's Court

    The Juha #6 cube by Juha Levonen
    (Ishino shows other Levonen designs)

    The Noris Cube designed by George Pfaffinger, made by Philos, purchased from Cleverwood (discontinued).

    The nine-piece Improved Mehandros Cube by Michael Toulouzas of Greece. Purchased from Bernhard Schweitzer.

    Three Trapped Sages - designed by P.F. Ramos and Rafael Abad
    Purchased from Puzzlewood.de.
    This was entered in the IPP 2006 Design Competition.
    Maneuver the three maple pieces free of the frame.

    This is the Cubed Burr II designed by Tom Jolly. I bought this instance, made from English Brown Oak, from Eric Fuller. This is a 6x6x6 cube of six large pieces. The basic plan is that of a traditional six-piece burr, but the pieces have been heavily modified and augmented to form a cube. It requires ten moves to free the first piece. There is only one solution. Tom also designed a simpler version, Cubed Burr.

    The Edge Corner Cube II by Markus Goetz.

    This is a version of Trevor Wood's Holey Squares Cube puzzle, made by Eric Fuller. It is made from Leopardwood and Honduras Rosewood.

    From William Waite, the Literal Lateral Slide.

    Waite's Wonder
    A 4x4x4 cube made of only five pieces that fit together nicely and ingeniously.
    Designs by Stewart Coffin

    Perhaps Setwart's best-known interlocking polycube design is his Convolution (#30).
    This example was made by Thomas Moeller, from Zebrawood and Bloodwood.

    Stewart Coffin's Three-Piece Block (#38) - one of the few puzzles I made for myself from wood!

    This is Stewart's new Involute design, described in his recent book Geometric Puzzle Design. This beautiful instance, in highly polished Padauk with Ebony corners, was made for me by Scott T. Peterson.
    Designed and made by Don Closterman
    Don Closterman lives in Rhode Island and is over 70 years old. He designs and makes a beautiful series of interlocking, sequential (dis)assembly polycube puzzles in cages.
    Closterman identifies his puzzles using a code of the form T-S-N-P-M, where:
    • T is the type of puzzle – C for cage
    • S is an arbitrary identifier Closterman assigns to a given design with a particular solution method
    • N is simply the number of cubies in the overall puzzle, which seems to include empty spaces (e.g. 6x6x6 = 216)
    • P is the number of pieces including the cage
    • M is the number of moves to remove the first piece, which seems to be omitted if it is only 1 move

    A yellowheart 4x4x4 I bought back in about March 2005, code C-2-64-7 which indeed has 7 pieces including the cage, and the first piece comes out directly – I like this one best and have solved it on my own. BurrTools confirms it has two very similar solutions.

    A Lyptus 6x6x6 with Walnut plugs at the corners, code C-12-216-19-3.

    A Canarywood 6x6x6, code C-11-216-13-12. Made in May 07. 13 pieces and requires 12 moves for the 1st piece, including a rotation (!) which stumps BurrTools (although it can discover the single possible assembly, and also the disassembly sequence if I omit the piece that must be rotated). This one I got apart on my own but used BurrTools and the supplied instructions to re-assemble.

    A Jatoba 5x5x5 Caged Cube (type 4-125-13, from 2-99)
    Designs by Hidekuni Tamura at "Atelier Tamura"

    This beautiful puzzle called the Twelve Piece Box lies on the boundary between a non-traditional burr and a polycube assembly. The little central cube has a secret, too.

    The Six-Block Puzzle looks like a burr, but isn't!

    The Ten-Segment Puzzle

    The Divide Cube.
    This one was made by Eric Fuller, from Rosewood.
    Designs by Leonid Mochalov

    The Russian 13 burr, designed by Leonid Mochalov and made by Mr. Puzzle Australia. Purchased in auction from the John Ergatoudis collection.

    8+1 Cube
    Eight corner pieces and a monolithic central frame (the "plus one"). Each corner piece has an extension with various tabs and notches that inserts through part of the frame and mates with another corner piece - you must find a sequential assembly of the corner pieces.
    Purchased from Puzzlewood.de.

    Burr Cube - by Leonid Mochalov
    I like this one - when I disassembled it, I didn't think it would take me long to re-assemble it - I was wrong, and I spent several happy hours trying to do it in various incorrect ways. I was surprised that these pieces had so many partial false assemblies.
    Purchased from Puzzlewood.de.

    Mochalov #12
    Purchased from Puzzlewood.de at NYPP 2008

    Mochalov Cube 2006
    Purchased at GPP
    Brett got me several 3D printed micro-cube puzzles issued by Richard Gain via Shapeways.

    See Richard's YouTube channel.


    Primary Gain
    designed by Richard Gain

    The World's Smallest Commercially Available Cube Puzzle
    7.5 mm side

    Inside Out
    designed by Richard Gain

    Cubed Burr II
    designed by Tom Jolly

    Seldom Seen
    designed by Richard Gain

    Happiness Cube #20
    designed by Sekoguchi Yukiyasu

    Tertiary Gain
    designed by Richard Gain

    The Steady State Cube by Richard Gain.
    Modular Polycube Construction Elements

    One of the coolest things is LiveCube - you can build your own polycube puzzles!
    See U.S. Patent 6679780 - Sywan-Min Shih 2004.

    This small brown 4x4x4 cube is constructed from what seems to be a precursor to LiveCube. Some of the pieces have square sockets showing - I assume the pieces are connected via corresponding square pegs.

    The Never Ever Cube is also made from unit modules. In this case the modules are cubic frames, and there are rubber inserts designed to fit into the faces and bind to another face on an adjacent unit cube. Personally I think the LiveCube design is better, as there are fewer pieces to worry about, and the connections are more firm.

    Cube-and-Plank

    Here is a link to Peter Knoppers' page describing plank puzzles.


    Triple Trouble
    Purchased from Potty Puzzles.

    Black and White by Kubi Games
    Purchased from GPP.

    Double Trouble
    Purchased from Pentangle.
    I really like this one - six different pieces loosely interlock. Each consists of a plank and two or more half-cubes attached in various orientations. They can be assembled using logical deduction.

    Polyhedral Assemblies

    I am the proud owner of Corner Cube #28 by Lee Krasnow.

    It has six dissimilar pieces which assemble only one way. It is not easy to find the sliding axis to disassemble the puzzle! My instance is made from beautifully figured Tulipwood, Brazilian Kingwood, Cocobolo, and Bocote. This is the first relatively expensive puzzle I ever bought directly from the designer/craftsman, in 2003.


    One of my favorites is this "Ribbon Keyvos" made for me by Michael Toulouzas of Greece:


    My Keyvos is made of
    Bois de Rose, Wenge, and Mahogany

    It's not easy to find the right slide...

    There are six distinct pieces

    It comes with a certificate


    I have one of Michael's "Brain Attack" puzzles, too.

    Designs by Stewart Coffin

    It is difficult to overstate the contributions of Stewart Coffin to mechanical puzzle design. In fact, it is difficult to decide where in this website to put a subsection devoted to him, since his ideas have become so widely applied across the field. Many of his primary contributions do lie in this area of interlocking polyhedral assemblies. Stewart coined the term Ap-Art to describe his "sculptures that come apart." In the 1970's through 1990's Stewart ran a puzzle club of which many of us can only wish we had been members.

    With the publication of his The Puzzling World of Polyhedral Dissectons (hosted on John Rausch's PuzzleWorld site), Stewart literally "wrote the book" on entire classes of interlocking puzzles that simply did not exist before he thought of them. Moreover, Stewart has been incredibly generous in allowing puzzle enthusiasts worldwide to utilize his designs without financial impediment. For these and other reasons, in 2006 Stewart became the first recipient of the IPP Nob Yoshigahara Award for "Lifetime Achievements in Design, Craftsmanship, and Popularizing Mechanical Puzzles."

    Stewart has a new book out in 2007, Geometric Puzzle Design. Several other related books are described, offered, and/or hosted online at John Rausch's PuzzleWorld site.

    I've managed to acquire a few puzzles designed by Stewart Coffin. Some are originals bearing his mark "STC" while the rest are copies of his designs made by other skilled woodworkers.

    Based on the compendium called Ap-Art, written by Stewart and produced by John Rausch, I put together the diagram below which is my attempt at showing a "family tree" of Stewart's interlocking puzzle designs.


    This is a Double Triangular Prism, based on the Triangular Prism #12. This instance was made by Pelikan - I obtained it from Bernhard Schweitzer. Shown assembled, beginning disassembly, in two halves, and in six dissimilar, asymmetric pieces.


    Mark McCallum made this beautiful Sphinx Transformed for me. Thanks again, Mark! It's a rhombic triacontahedron, a relative of Stewart Coffin's Design No. 72. The woods include: Kingwood, Spotted Ebony, Bird's Eye Maple, Ziricote, Ceylon Satinwood, Chakte Viga, Narra, Tulipwood, Redheart, Macassar Ebony, Ebony, and Bocote.

    Mark also made the Ring of Diamonds (STC #13-B) in walnut. The precision is masterful! Thanks, Mark!



    Twelve Point (33) or Augmented Second Stellation
    made by Stewart Coffin

    Perhaps one of Stewart's best-known designs is the simple two-piece Pennyhedron (52). I purchased this one made of Wenge from Stewart at IPP26.

    Fancy This! (115-A)
    made by Interlocking Puzzles

    Prism Cell (192)
    STC 2003
    purchased from Stewart at IPP26

    Polly-Hedral was made by Stewart in 2006 and was Jerry Slocum's exchange puzzle at IPP26.

    12-piece Separation (85)
    made by Thomas Moeller

    Star of David - Improved (37A)
    six pieces
    unknown craftsman

    Four Corners (6)
    made by Thomas Moeller
    See U.S. Patent 3885794 - Coffin 1975.

    Triumph (15)
    made by Thomas Moeller

    Fusion Confusion (15-A)
    made by Interlocking Puzzles.

    I purchased this "Multisphere" by Janod from Puzzlemaster.ca. It is Stewart's Scorpius (5).

    Dislocated Scorpius (16)
    Purchased from Bernhard Schweitzer

    Broken Sticks (32)
    Purchased from Bernhard Schweitzer

    Nova (8)
    six identical pieces
    unknown craftsman

    Vega (46)
    six identical pieces
    unknown craftsman

    Square Prism
    six identical pieces
    unknown craftsman

    Scott T. Peterson made this Super Nova (14) in Bird's Eye Maple and African Blackwood.

    The Hill
    Introduced at IPP26 in 2006 at Boston. Unusual Coffin design, as a single piece comes out on the first move, then another piece, with the remaining four requiring coordinate motion!


    This is Stewart's Split Star (75), made by Mark McCallum. It is a two-tier design, with a garnet at its heart and outer pieces of bubinga wood forming the diagonal star shape.

    I bought this beautiful version of Stewart Coffin's Garnet (60) design, from Cubicdissection. It was made by Mark McCallum. Stewart calls it the dissected rhombic dodecahedron, and it is described in chapter 15 of Stewart's book. There are nine possible distinct asymmetric pieces, and this version is made from pieces A through F. Disassembly is fairly easy, but if you mix up the pieces, reassembly is challenging. My approach is to try all possible groups of three to make a half. The remaining three must form a mating half. A group of three pieces might fit together in several ways, so one must explore the possibilities carefully.

    Starting in the top row, from left to right, the piece IDs and woods are:
    (A) Macassar Ebony, (B) Bocote, (C) Honduras Rosewood, (D) Holly, (E) Bloodwood, (F) Brazilian Rosewood.

     
    Pelikan's Garnet Ball - a spherical version of Stewart's Garnet. This puzzle uses mirror images of pieces A thru F.
    Purchased from Bernhard Schweitzer

    Here is a beautiful version of Stewart Coffin's Augmented Four Corners puzzle (34), made from Canarywood and Redheart by Mark McCallum, and purchased from Cubicdissection: 



    Scott T. Peterson has made a Rosebud (39) for me, from Bloodwood and Lignum Vitae, a very aromatic wood. There are six pieces - three "left-handed" and three "right-handed." They are extremely difficult to assemble into the Rosebud configuration. There is, however, a much easier assembly, shown in the center above.

    Pieces of Eight (77)
    made by Interlocking Puzzles. (Some nice photos from the old IP website.)

    The 3M Hectix and The Geo-Logic Line

    Stewart Coffin licensed several of his polyhedral designs to various companies which produced them in plastic.

    Stewart Coffin (and Bill Cutler) both independently came up with the design of 12 interlocking notched hexagonal sticks (copied by Tenyo's "Papa" puzzle shown elsewhere). Stewart's version was produced commercially by 3M, who called it "Hectix." I've obtained the red/white/blue, white, and clear versions of Hectix.
    See U.S. Patent 3721448 - Coffin 1973.
     
    Some of Stewart's other designs were produced commercially in plastic as part of the "Geo-Logic" line. I obtained Tauri, Cetus, Aries, and Uni in 2-in-1 packs, and a Nova separately. The Penta-Logics included Spirus and another Nova. Luckily, all of the pieces are intact. The Tauri is described in Stewart Coffin's book The Puzzling World of Polyhedral Dissections (see fig. 97).
     

    Aries

    Cetus

    Nova

    Tauri

    Spirus

    Uni (A real pain to assemble!)

    The Penta-Logics set allows you to make a "Galaxy 1" (shown, with leftover pieces) and a "Galaxy 2" (not shown).
    The Geo-Logic line also included an "exploding cube" called "Inner Peace" - a six-piece coordinate motion assembly. I obtained one but with no box. I did not know what it was until I found a box shot on the web. Mine includes the inner sphere but I originally thought it was spurious and I assembled the puzzle without it for my photo.

    Pinned Assemblies


    This is a puzzle called "Rube's Cubic" purchased from IQ Puzzles. It is also described in Coffin's book, as the Pin-hole Puzzle. As Stewart says, it is fairly easy to assemble.

    This is Coffin's Corner Block puzzle, made by Kerry Verne from Yellowheart, Bloodwood, and Walnut (pins). Purchased from CubicDissection. Stewart describes this type of puzzle in his book, showing a set of possible pieces. Coffin's Corner Block uses pieces numbers 1, 2, 3, 7, 8, and 12, and one pin. Stewart says he has been unable to find a selection of pieces that can be assembled one way only. This set has two solutions.

    This is the "Ancient Key" puzzle, from the Mandalay Box Company. This is a variant of the Corner Block. The Ancient Key uses pieces numbers 1, 2, 3, 7, 11, and 12, and one pin.


    Arjeu CT442 (Colorado)
    purchased from Ishi
    Also known as Electrons, by Janod.

    Arjeu CT210
    purchased from Ishi

    Arjeu CT795 (Cactus)
    gift from Jeff Taylor

    This is Arjeu's Quadro (CT755), purchased from Ishi. It is a simple version of Coffin's Locked Nest puzzle and is described in Coffin's book in Chapter 13 (see figure 130b).

    Tetralott by Markus Goetz (Philos)

    Arjeu CT5152
    aka Achille

    Tipi - Bits and Pieces

    Woodn't Cross by Mag-Nif 1974

    Charles O. Perry's The Double (my favorite).

    The Aqube, purchased from Puzzlemaster.
    (I got the Psychodelic version - blue pieces shown for example.)

    Irregular Assemblies

    This is my catch-all group for interlocking puzzles made of pieces and/or forming shapes that aren't geometrically easily described. Some are figural representations of various animals or objects, while many are abstract geometric fantasies. Sometimes the pieces of the puzzle are similar, sometimes dissimilar. They can be made from wood, or plastic, or metal.


    I'll start with a beautiful spherical puzzle called the O. S. M. Ball, designed by Jakub Dvorak of the Czech Republic. I purchased this from Bernhard Schweitzer at IPP28 in Prague. Eight pieces. The first and second moves are tricky to discover. Made from beautiful hardwoods.


     


    These are from Interlocking Puzzles. Some were designed and/or made by Wayne Daniel. All of these puzzles are very well made and attractive.



    4-piece Tetrahedron


    5-piece Tetrahedron
    Padauk and Beech


    Dual Tetrahedron


    5-piece Truncated Cube
    The Truncated Cube is surprisingly hefty, and very nicely finished. Very unusual piece shapes.
    Brazilian Cherry (Jatoba)


    6-piece Truncated Cube
    Padauk


    7-piece Truncated Cube
    Jarrah
    For me this has been the most difficult of the three truncated cubes.

    Rhombic Crystal


    Sequential Truncated Octahedron
    Maple


    I have several puzzles made by Vaclav Obsivac, some purchased from puzzlemaster.ca, others from Cleverwood or directly from Vaclav.


    Cross in Ball

    Prismastar

    Twister 1

    UFO

    The Hedgehog
    purchased from Cleverwood

    The Trick Box is also a coordinate motion puzzle - darned hard to assemble.

    This small 4-piece "Cube Vinco" was a gift from Vaclav at IPP26.

    Cubetresor

    This is the Button Prison from B & P.

    This is Two U. It is described on Vinco's website. In addition, there is a nice chart of various types of "half-cube" puzzles. This puzzle reminds me of Coffin's Pieces of Eight. Purchased from Vaclav at IPP28 in Prague.

    This is Vinco's Vidly Half-Cubes. Although technically this isn't an Interlocking puzzle, I show it here since it is another of Vinco's series of half-cube designs. A gift from Vaclav at IPP28 in Prague. Thanks!


    Additional interesting interlocking designs...

    This is George Hart's "Screw Cube" - a two-piece interlocking puzzle George invented and 3D printed with white nylon. I got prototype number 1 from him at one of Brett's Manhattan puzzle dinners.

    It's not too difficult, but everyone who plays with it likes it and is a little stumped at first. I think it's a classic. Thanks again, George!


    This is a Muto Cube from Japan. I've seen it on only one other collector's ( Martin Watson's ) site.


    These are Oskar's Matchboxes.
    The first set I got from gemanigames.com. They're not really matchboxes - the "interior" pieces are solid, not hollow boxes. Also, not all interiors fit easily into all containers and the ends have obvious saw marks with overall finish being mediocre. Still, I am happy to have them and the puzzle is fairly challenging. The solution configuration does fit together nicely. I have wanted this puzzle since first reading about it on page 81 of Slocum and Boterman's Puzzles Old and New way back when, and I was glad to find a vendor selling it.
    Eric Fuller made the second set, from Madrone and Aformosa woods. These are beautiful - the boxes actually have walls and interiors and the fit is great.

    These are Oskar's Cubes.
    The large wooden version is from Tom Lensch.
    The small aluminum version is from B and P.
    You can see the pieces at Ishino's site.

    The Devil's Half Dove-n and the Devil's Other Half Dove-n.
    Designed by Pavel Curtis.
    From Puzzlecraft, gifts from LuAnn.

    This puzzle is called Six Tabbed Planks.
    It is made from acrylic. I really like it - the proper configuration can be logically deduced with a little effort, and the assembly is sequential.
    Unknown designer. Purchased from Pavel Curtis. Pieces shown here.

    Six-piece ball
    Made by Lee Krasnow - mechanism is identical to the Six Tabbed Planks from Pavel Curtis.

    Caged Spheres (in purpleheart wood)
    Also purchased from Puzzlecraft.

    A 4-piece cube with dovetailed pieces. Designer unknown to me.

    This is Arjeu's CT87.
    This was designed by Oskar van Deventer. Evidently Arjeu never compensated Oskar! Tom Lensch is selling a really nice version.

    Myopic Doves by Rick Eason.

    The Dragon Cube, designed by Doug Engel. Issued by Philos. Purchased in Montreal.

    The Tease puzzle cube designed by Sam Cornwell and made from Quilted Sapelle, Wenge, and Carolina White Ash by Eric Fuller. Five pieces, and five moves to get the first piece out.

    This is Oskar's Patchwork Box, designed by Oskar van Deventer and made by Tom Lensch. Purchased from Tom at IPP 29 in SF.

    This cube was included in an auction lot. I didn't recognize it at the time, but after I received the lot I realized this was a copy of the Frankfort Cube I had wanted after I saw it on Casse-Tete et Solution (scroll down to item #33).


    Plato's Secret
    See U.S. Patent 3695617 - Mogilner and Johnson 1972. See also D0224974 - Mogilner 1972.
    A puzzle based on tensegrity - "tensional integrity" - a balance between tension and compression. (For another example, see Bathsheba Grossman's "Moon Pi.")
    A number of sticks with slots at each end, a cord, and a ball for the center. The first challenge is to remove the orb without disconnecting anything. The second challenge is to (re)build the structure - lash the sticks together in the proper pattern to create a polyhedron around the ball. The patent describes a structure with 12 sticks, and mentions 9 and 15-stick versions, claiming that tensegrity structures can be made from any number of sticks. The puzzle has appeared with 10 sticks, forming a dodecahedron (12 pentagonal faces, 20 vertices).
    I've also seen this called the "Philosopher's Knot" (1975 by whom?), "Plato's Plight" (Mag-Nif 1971), "Cobweb" (Reiss), and "Knit Wit" (Romany 1974). Supposedly it has also been called the "Philosopher's Stone" and "Merlin's Stone" though I have not seen those.
    You can get PDF solution files for Plato's Secret and other puzzles at Mag-Nif's website. Richard Whiting also has a solution to a version he calls Whiting's Woe on his website.

    A vintage Think puzzle by Chadwick Miller of Massachussetts. Made in Japan. Copyright 1968.

    The Kuball.
    A 3-piece puzzle designed by Viktor Genel. Made by Tom Lensch. See the pieces at John Rausch's PuzzeWorld.

    This is Trickstix, by Harris. See U.S. Patent 2473369 - Harris 1947.
    The similar cage with rotating sticks and a ball inside is a common design.


    I have had this small plastic red, white, and blue puzzle cage since I was a kid, and I think it was from Adams - it may be either the Locked Blocks or the Oriental Puzzle (also pictured for reference) - I no longer have the packaging. Its pieces are more decorated than the Trickstix.

    The Molecule by Joe Miller.
    See U.S. Patent 5762336 - Miller 1998.
    Entered in the IPP 2001 Design Competition.
    Here are several offered by Bits & Pieces at various times...


    Meiji Cheese Curls, and the "Light" version.


    Several classic puzzles by Mag-Nif and Reiss that I have had since I was a kid. From Mag-Nif: Four Square, Third Dimension, and the Curious Cross in smokey plastic and blue plastic. Some 1974 Reiss puzzles: Equilibrium, Star, and Reiss' version of Curious Cross, which they call Torment.


    More, in wood:


    These two sets of "Brain Benders" from Cardinal (blue box and red box, 3 puzzles each) include a six-piece Diagonal Star, a Chuck similar to Pentangle's Woodchuck, above, a traditional 6-piece burr, a wooden version of an 18-piece puzzle similar to Mag-Nif's Third Dimension, a rods-and-pins "Nest" puzzle similar to the Arjeu Quadro, and another 12-piece chuck called "Double Cross." They are cheaply made from softer wood, and I've seen them at toy stores for $3.99 a box. Similar sets are branded by Pavillion.


    More, in plastic:


    This is the TenGeo Great Circle Challenge.

    This is a selection of "Mighty Midget" puzzles from Mag-Nif:

    I got this lot of 3 of the same "Chinese Burr" in different colors, from a French auction. I gave away two and kept the green one. Normally the #1 mechanical puzzle rule is "No Force Required!" but this puzzle really requires some force for the first and later moves.

    These 4 "Travel Puzzles" are from Game Kingdom: ball in cage, 6x6x6 sticks, star burr, depth charge: 


    Here are some interlocking irregular geometric designs made in metal.


    Charles O. Perry's Zen

    This is a Glingle Ball. I've had it a looong time, and NEVER took it apart!

    The Buffalo Nickel is clever - it is a two-piece (plus "case") interlocking. It made by George Miller, based on a design by Oskar van Deventer. Bits and Pieces marketed this nice metal version. See this article by Oskar on Planar Burrs (PDF file).

    The Lucky Clover from B and P was designed by Oskar van Deventer. It has only 4 pieces but requires many steps to assemble properly.

    Gravity Well - Bits and Pieces

    Double Monad (Yin-Yang) - Bits and Pieces

    Butterfly - Bits & Pieces

    The Ego Sculptural Puzzle is a 6-piece version of the Third Dimension style above. It was offered in a "Good Design" box by Austin Enterprises and Something Else Inc. of Akron Ohio and Ossining NY.

    From Bits & Pieces, a Curly Cube, designed by Vladimir Krasnoukhov.

    This is a sculpture puzzle called "Moon Pi" made by the artist Bathsheba Grossman, using a direct-metal 3-D printing process (Ex One / Prometal) driven by a CAD design. I learned about it via James Dalgety's Hordern-Dalgety Puzzle Museum site.

    The Peppermint Twist puzzle was introduced at IPP17 by John Ergatoudis. It consists of five twisted metal rods that, surprisingly, interlock. If one rod is slid out of the bundle, it collapses, and is a challenge to reconstruct.

    Entangled Fish - B & P

    Impossicube - Markus Goetz (B & P)

    Great Collision, designed by Doug Engel. Purchased at IPP 29 in SF.


    While most of the Irregular Assemblies are geometric shapes, some are in the form of various figures.


    This is Mr. Puzzle from Bits and Pieces, which contains several different kinds of puzzles including interlocking (his feet).

    A Hartley's Humpty Dumpty Egg puzzle U.S. Patent D160283 - Irving Hartley Steinhardt 1950.

    This is Nanook the Polar Bear.

    The R. B. Rice Sausage Company Pig puzzle (Lee's Summit, MO). Virtually the same pieces as Nanook, but smaller and less dense.

    This is Naef's Swiss Cow or Vache Rouge. It was designed by Gerard Petremand in 1978. Six pieces - not difficult, but like all Naef items, pricey.

    From William Waite, the Camera Conundrum.

    A hand-carved wood Dragon puzzle from Thailand or Mongolia, I'm not sure.

    The Sphinx (or Turtle). Getting it apart was somewhat of an ordeal, as some pieces were fused by the sloppy shellac on them - but fortunately I separated them without damaging anything.

    A vintage locomotive puzzle by Reiss.

    Cicada by Kathy Bass
    Available from Mr. Puzzle Australia (Brian Young). Obtained at NYPP 2008.

    Keychain Puzzles

    There are many, many keychain interlocking (and twisty) puzzles. Even if they don't actually have a keychain attached, they're characterized by being diminutive. Often there is a hole or a loop where a chain could be attached. William Waite has an extensive collection of keychain puzzles.

    I have a few:


    This is a Trylon Perisphere puzzle souvenir from the 1939 New York World's Fair. It is very small, and I have read that this is the puzzle that gave birth to keychain puzzles (even though it has no chain). Unfortunately its material has not withstood the ravages of time well at all. Many of them I have seen have been somehow damaged or warped.

    As a kid, I had a Bibendum (Michelin Man) keychain puzzle I got at a car show at the NY Coliseum. It disappeared long ago, but after searching for some time, I finally found another one.
    This puzzle is the last of four "Lost Puzzles of My Childhood" (Drive Ya Nuts, Phony Baloney, Screw Loose, and Bibendum) that originally motivated me to start following auctions!

    A Russian robot.

    Here is a Schmoo, from the old comic strip Li'l Abner.


    A cube, ball, burr, and Kumiki barrel.

    A really nice rocket ship.

    These are from Mefferts.

    I've had these two since I was a kid.

    Locomotive

    mini Rubik's Snake

    This bowling ball and pin came in a set of puzzles by Kawada, from Japan. They're small enough to be keychain puzzles, but do not have chains attached.

     

    Happy Cubes/Snafooz (Foam Assemblies)

    At the Jan. 2005 NYPP, I got these from Norman Sandfield, not knowing what they were. There were originally 4 blue and 4 yellow cubes, but I gave away 2 of each to various folks who wanted them. All the blues and yellows are each made of the same set of six different pieces.

    Since receiving a copy of the CFF newsletter issue 50 (Oct. 1999, Part 4/6), I have determined that they are all equivalent to the "Tokyo" version of the Wirrel Warrel, also known as "Happy Cubes."

    Inexpensive puzzle pieces can be cut from dense foam mats. Several varieties of puzzles in the "Wirrel Warrel"/"Happy Cubes"/Snafooz family have been implemented using this material.

    Happy Cubes were invented by Dirk Laureyssens - read more at the Cricro site. Cricro provides a pair of pentagonal faces.

    Happy Cubes are being marketed by Happy n.v.

    Inspired by reading about Happy Cubes in the CFF newsletter and following information on Jurgen Koeller's Happy Cubes page, I made my own set of generic pieces from LiveCube. I used 8 cubes each for the 6 centers (in black) and an additional total of 44 yellow cubes to be distributed about the edges, as required by the various piece configurations.


    Snafooz makes 6-piece cube puzzles where the pieces are cut from foam slabs. They are similar to Happy Cubes, but the Happy Cubes are based on a 5x5 square face, while the Snafooz are based on a 6x6 square. Snafooz are often issued as corporate promotional give-aways, and I have accumulated several from various trade shows. I also have a promotional puzzle based on a 7x7 square.


    This is "Mystery Shapes" designed by Oscar van Deventer, issued in 1993 by Binary Arts. Four cubical puzzles made of six foam pieces each, but with extra confusing ridges running around the faces.


    The "Eraser Cube" is made from eraser-type rubber material, and is based on a 4x4 square side.

     

    The Puzzle Sculptures of Miguel Berrocal

    Miguel Berrocal was a sculptor born in Malaga, Spain, in 1933. Berrocal died in 2006. He was married to Princess Cristina, the grand-daughter of the last King of Portugal. He presided over a 200-employee foundry in Negrar and referred to himself jokingly as the "boss of the sculptor's Mafia."

    Probably the first time I heard of the puzzle sculptures of Miguel Berrocal was upon reading about them in one of Martin Gardner's columns in Scientific American. (Gardner discusses them in Chapter 18 of his book Penrose Tiles to Trapdoor Ciphers.) In college I had occasion to visit a friend - she was a foreign exchange student staying with an American family (hi Fariba!). The family owned a Berrocal Mini-David and that was my first opportunity to try one of the puzzle sculptures of Miguel Berrocal.

    Berrocal made six sculptures in his "Mini" series, and offered them as limited edition "multiples." They include:

    I have seen a variety of costs - the set of six has been offered for anywhere from $5K to $10K. Mini-David is the most popular and runs anywhere from $1K to $2.5K. The others run from $350 to $1800 depending on where you look and how lucky you get. John Rausch and James Dalgety are two dealers. Read about Berrocal on Dalgety's site.

    James Strayer has quite a collection of Berrocals, as does John Rausch.


    Portrait de Michele
    (My favorite...)

    Mini-Zoraida


    Mini-Maria

    Mini-David

    Mini-Cristina

    Mini-Cariatide