Of the 218 possible combinations of truncating the edges of a cube, 74 are mirror images.  This leaves 144 unique possabilities. The 144 thumbnails below are links to 144 virtual reality models that you may rotate if you have a VRML viewer.  If not you can get one from Cosmo Software.  (Please click the browser's back button to return to this page)

(The column letters are for referencing a figure, i.e. '6A' refers to the 6 edge truncation in column A.)
The series begins with a cube with 0 edges removed, and progresses to 1 possibility of cutting off 1 edge, to 4 possibilities of cutting off 2 edges, to the 9 possibilities of cutting off 3 edges and do forth. The series ends with a rhombicdodecahedron, the one possibility of cutting off all the edges. The number of figures in each group is symetrical about the 6 edge truncation group.

You can also explore the symetry and face configuration of these figures.

 

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1 ea.
0 Edge

 0A

1 ea.
1 Edge

 1A

4 ea.
2 Edge

 2A 2B 2C 2D

9 ea.
3 Edge

 3A 3B 3C 3D 3E 3F 3G 3H 3I

18 ea.
4 Edge

 4A 4B 4C 4D 4E 4F 4G 4H 4I 4J 4K 4L 4M 4N 4O 4P 4Q 4R

24 ea.
5 Edge

 5A 5B 5C 5D 5E 5F 5G 5H 5I 5J 5K 5L 5M 5N 5O 5P 5Q 5R 5S 5T 5U 5V 5W 5X

30 ea.
6 Edge

 6A 6B 6C 6D 6E 6F 6G 6H 6I 6J 6K 6L 6M 6N 6O 6P 6Q 6R 6S 6T 6U 6V 6W 6X 6Y 6Z 6AA 6AB 6AC 6AD

24 ea.
7 Edge

 7A 7B 7C 7D 7E 7F 7G 7H 7I 7J 7K 7L 7M 7N 7O 7P 7Q 7R 7S 7T 7U 7V 7W 7X

18 ea.
8 Edge

 8A 8B 8C 8D 8E 8F 8G 8H 8I 8J 8K 8L 8M 8N 8O 8P 8Q 8R

9 ea.
9 Edge

 9A 9B 9C 9D 9E 9F 9G 9H 9I

4 ea.
10 Edge

 10A 10B 10C 10D

1 ea.
11 Edge

 11A

1 ea.
12 Edge

 12A
 

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Revised: 11/2/2002