We don't know whether every regular geometric tiling pattern that appears possible in theory can actually be physically realized without gaps or overlaps.
open
Global / Unspecified, Global
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.
Citation ID: WS01274
Title: We don't know whether every regular geometric tiling pattern that appears possible in theory can actually be physically realized without gaps or overlaps.
URL: https://www.worldsolve.org/index.php?api=problem&id=1274