We don't know whether every regular geometric tiling pattern that appears possible in theory can actually be physically realized without gaps or overlaps.
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Mathematics & Logic
Some tiling patterns work perfectly in abstract mathematical space but haven't been proven physically constructible under all real-world constraints. This connects pure geometry with material and structural engineering.
Team Humans Club. (2026). Problem WS01274: We don't know whether every regular geometric tiling pattern that appears possible in theory can actually be physically realized without gaps or overlaps.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1274