## Or, the 15-hole triangular board made easy ...

This crafty peg solitaire puzzle can be frustrating.
The theory behind the game
is extensive, but if you just want to solve the puzzle,
this page is for you!
Starting from a board with one peg missing, the goal is to
jump pegs (removing the jumped peg) and finish with only one peg.
There are two ways to use this web site.
You can read over the tips below, and go back and try to
solve the puzzle yourself,
or you can memorize a solution and amaze your friends
(solutions are given on the
next page).

Note the symmetry of the triangular board: there are
three **corner** holes (red),
three **interior** holes (green), and
three holes at the **midpoint** of each edge (blue),
plus six "other" holes (yellow).

The following rules of thumb are based on a
mathematical analysis of the game
and should help you solve the puzzle:

- Avoid jumping
**into** a corner.
Of course, in some situations (such as beginning without a corner peg)
this is the only jump possible.
- Avoid any jump which
**starts** from one of the green interior holes.
Such a move is almost always a dead end
(none of the solutions on the next page include this jump).
- The easiest place to begin the game is with the missing peg (hole)
at one of the blue midpoint locations. The hardest place to begin is with
the missing peg at one of the green interior holes.

These rules of thumb are easy to remember:
"Don't jump into a corner or out of the center".

A 2008 paper [P4]
quantifies how much this rule helps a player
who selects jumps at random (surely you can do better than that!).

Stop here if you want to try the puzzle again with these tips.
Follow this link to play my online version of this game.
If you are really stumped, this version
will point out all jumps that lead to a dead end.
If you look for these clues, you will lever lose!

Or,
continue to the next page to see solutions.

Triangular Peg Solitaire Main Page ...