Pentagon Tiling Proof Solves Century-Old Math Problem | Quanta Magazine
▻https://www.quantamagazine.org/pentagon-tiling-proof-solves-century-old-math-problem-20170711
A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.
Rao said he felt disappointed not to have discovered any additional families, but tiling experts say that proving a complete list of 15 is more significant than simply finding a new working example.