Is It Possible?

Usually, I only post puzzles to which I know the solution. However, I don’t know the solution to this exciting geometry question from Facebook, yet. But I like the puzzle so much that I’d rather post it than wait until I find time to think about it.

Puzzle. A centrally-symmetric figure is cut into two equal polygons: A and B. Is it possible that the center of symmetry is in A but not in B?


One Comment

  1. Lazar Ilic:

    After contemplating, I Googled the puzzle text to and found interesting claims by Edward H. Perhaps he can be contacted or one can try running a script executing a pruned casework on the coordinate of the 90 degree rotation with respect to the 180 degree rotation.

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