Oct 26, 2006
cool topology puzzle
The puzzle is in this picture. How can the two shapes in the box in the upper left be the same? Topologically speaking, they are *not different*.
So how does that work? You could look at my drawing, but it sucks, so I made a video of how you convert between one shape and the other using silly putty. The rules: you can't break anything, or disconnect and reconnect anything, and there must always be the same number of holes in the object you are manipulating (in this case, it's a double-holed donut). You are allowed to stretch and shrink the material as much as you want as long as you don't change the fundamental properties of the shape.
Video is here!
Posted by Lissa at 11:29