Take six identical cubes and place them on the table in such a way that each cube touches each of the other five cubes with some part of its side (touching only along edges or at corners doesn't count).

Split the cubes into two groups of three.  Put each group together like this:

 ___
|   |___
|___|   |
|   |___|
|___|

Now take these two groups and put them on top of each other.  It should look something like this:

        /^\
       /   \
.     /     \
|    /      |\
|   /       | \
|   \       | /\   .
|    \      |/  \  |
|    /\     |    \ |
|   /  \   /|     \|
|  /    \ / |      \
| /      x  |      |x
|/        \ |      /
|\         \|     /|
| \         |    / |
|  \        |\  /  |
|   \       |/\/   |
|    \      /
      \    /
       \  /
        \/

It is badly distorted in order to show how each cube is touching all of the other five.

Posted by Tristan on 2004-08-08 12:06:58