Fractal Tilings Based on Dissections of Polyhexes

Robert W. Fathauer
Renaissance Banff: Mathematics, Music, Art, Culture (2005)
Pages 427–434


Polyhexes, shapes made up of regular hexagons connected edge-to-edge, provide a rich source of prototiles for edge-to-edge fractal tilings. Numerous examples are given of fractal tilings with 2-fold and 3-fold rotational symmetry based on prototiles derived by dissecting polyhexes with 2-fold and 3-fold rotational symmetry, respectively. A systematic analysis is made of candidate prototiles based on lower-order polyhexes.