Paradigment Challenge
/ Category lead
Mathematicians proved that a shape can fit together perfectly for a trillion layers and yet still be mathematically impossible to tile a floor with.
This resolves the 'Heesch problem' by proving that in curved space, there is no limit to how many layers a non-tiling shape can 'fake' before hitting a mathematical dead end. It means a tile could appear to be a perfect fit at any scale a human could ever check, only to be eventually proven impossible to complete.