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Edited for clarity:

I thought I had a complete set of solutions to this:

Cut a square into identical pieces so that they all touch the center point.

It became clear, after some discussions, that I was very, very wrong.

There are infinite families of solutions, and a sporadic. So I have two questions:

  1. What do you think is a complete set of solutions?
  2. What techniques and approaches can I use to prove that the ones I have are all there are?

I hope that's clearer. Thanks.

  • 2
    Cross-post: http://mathoverflow.net/questions/66053/dissecting-a-square2011-05-26

3 Answers 3