Discovered by an amateur mathematician in 2022, this strange construct can tile an infinite surface without repeating. But ...
The “hat” tile is a mathematical wonder. Discovered by amateur mathematician David Smith in 2022, it can be used to cover every square inch of an endless bathroom floor (or any other surface) ...
The nonrepeating Smith hat tile created twisting, pinwheel-like light patterns that ordinary quasicrystals do not produce.