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‘Nasty’ Geometry Breaks Decades-Old Tiling Conjecture
Mathematicians predicted that if they imposed enough restrictions on how a shape might tile space, they could force a periodic pattern to emerge. But they were wrong.
Undergraduates Hunt for Special Tetrahedra That Fit Together
A group of MIT undergraduates is searching for tetrahedra that tile space, the latest effort in a millennia-long inquiry. They’ve already made a new discovery.
Pentagon Tiling Proof Solves Century-Old Math Problem
A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.