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:
- What do you think is a complete set of solutions?
- What techniques and approaches can I use to prove that the ones I have are all there are?
I hope that's clearer. Thanks.