So he decided to crochet a hexaflexagon. This is a hexagon that seems flat, but can be twisted to show hidden sides.
Here’s the hexaflexagon that Godzilla made using a pattern from Woolly Thoughts (link updated 1/1/10). It initially looks like this:
but he can twist the inside…
and there is purple in the middle instead of blue sparkles!
Then he can twist it again…
And it’s orange in the middle!
And those aren’t the only colors. If you look at the other side, there is this
and, finally, this!