Polyonimoes are shapes made from squares. The pieces of the game Tetris are tetronimoes, each made from four squares. There seven possible tetronimos, shown below. Observe the green S and red Z tetronimos are mirror images.
Now, consider polyonimoes, solids built from cubes. Here's one built from five cubes:
https://upload.wikimedia.org/wikipedia/commons/thumb/c/cc/AGK-pentacube.png/240px-AGK-pentacube.png
Tetracubes are made from four cubes. How many possible tetracubes are there? Be careful to count mirror images separately.
by
Matt Mundy
