A hobbyist solved a 62-year-old maths problem — with one tile

In November 2022 a retired print technician in Bridlington was cutting shapes out of cardboard — and suddenly held a tile people had been looking for since 1961: it fills the plane with no gaps and never repeats. A single shape, thirteen straight edges, eight kites from the hexagonal grid. 0:00 The Kitchen Table 1:17 The Ladder Down 2:32 The Hat 3:43 The Proof in One Picture 5:05 Where the Golden Ratio Comes From 6:34 The Catch 7:47 Two Months Later 8:41 What Counts About It Sources: Smith, Myers, Kaplan, Goodman-Strauss: An aperiodic monotile, Combinatorial Theory 4(1), 2024 (peer-reviewed) Same authors: A chiral aperiodic monotile, arXiv:2305.17743 (May 2023) Quanta Magazine, March 2023 (quotations) #Mathematics #Geometry #Tiling