Isohedral shapes

Here is Ed Pegg Jr.'s complete list of ALL the 3-D dice shapes which have every face identical.

It includes all our 5 Platonic solids, and, since it also includes those where not every edge is the same length, it includes the bi-pyramids too. Every face is identical to every other face, so all the faces have exactly the same polygonal shape, but some edges have different lengths to others. There are others apart from the Platonic solids and the bi-pyramids and are some pretty weird too!

The common feature is that all of them would make good dice.

Since every face is the same, they are called iso-hedral.

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Fibonacci Home Pagel1!^'1/.

The Mathematical Magic of the Fibonacci Numbers

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┬ęDr Ron Knott [email protected] 23 April 2001

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