1)I have lots of black and white squares that can be joined together to make cubes. How many distinguishable cubes can I make?

2)Now I try it with triangles and regular octahedrons?

3)Now pentagons and regular dodecahedrons?

4)Triangles again but making regular icosahedrons!?

Note: Distinguishable means rotations are the same, but reflections are not.

I think I found the two you missed.  They are both colored 4 black and 4 white.

F. The reflection of D
G. four black faces such that no two are adjacent

That makes 23 octahedra.

Edit: Corrected a mistake

Edited on March 8, 2006, 7:49 pm

Posted by Tristan on 2006-03-08 00:31:24