The Surprising Versatility of Edge-Matching Tiles

Kate Jones
Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture
Pages 499–502 Short Papers


I present the results of an exploration of color distribution and topological equivalences with a set of 9 unique edge-colored square tiles using 4 colors, harkening back to Major Percy MacMahon’s Three-Color Squares as described in his New Mathematical Pastimes, 1921. The delight of such a puzzle is the artistic surprise that each new solution brings. You could call it “math as moveable art”.