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Black and White Solids (Posted on 2006-03-04) Difficulty: 4 of 5

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.

No Solution Yet Submitted by Sir Percivale    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: #2- octahedron Comment 11 of 11 |
(In reply to #2- octahedron by Charlie)

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

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