Imperfect Congruence: Tiling with Regular Polygons and Rhombs

Kevin Jardine
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 439–442 Short Papers


Edge-to-edge plane tilings of regular polygons can include only squares, triangles, hexagons, octagons, and dodecagons. The possibilities become far larger, striking and beautiful if we add rhombs to the prototile set.