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?
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Lazar Ilic:
After contemplating, I Googled the puzzle text to https://math.stackexchange.com/questions/4787094/union-of-two-disjoint-congruent-polygons-is-centrally-symmetric-must-the-polygo 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.
7 July 2024, 3:17 am