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Mathematically Inspired Art Tom Brylawski, UNC-CH
Magicus A ten-by-ten Graeco-Latin square using the digits from 0 to 9 so that every number from 0 to 99 appears, and every digit from 0 to 9 appears in every row and column, each giving a magic square sum of 495. Found by Bose (UNC-CH), Parker, Shrikehande (1960) disproving a conjecture of Euler (1783)
Squaresville First square dissected into unequal squares by Sprague; Brooks, Smith, Stone, and Tutte (1940)
Presentation for a Sailor Generators and relations for the knot group of a (sculptural) bowline knot.
Affine Old Flag American flag draped vertically with a vertical compression
Back to the Drawing Board Kempe’s “proof” published in 1879 (somewhat modernized to graphs instead of maps) to the four-color conjecture with Heawood’s counterexample published 11 years later (!) Subsequently modified by Appel, Haken, and computer to a correct proof (1977)
Visions from the Tomb: A Table of Reflection Groups The seven planar crystallographic groups whose quotient by the subgroup generated by reflections is compact