Recognizable Motif Tilings Based on Post-Escher Mathematics - Abstract

Robert W. Fathauer
Bridges: Mathematical Connections in Art, Music, and Science (1999)
Pages 291–292


M.C. Escher was preoccupied for most of his career as an artist with the covering of the Euclidean plane by tiles with recognizable motifs, generally lizards, birds, and the like. In his notebooks, 137 such designs are enumerated, and several of these were used as the bases for some of his best-known finished prints. All of these sets of tiles only fit together one way. New tilings with recognizable motifs have been designed based on mathematical discoveries made around the time of Escher's death in 1972. In particular, the nonperiodic Penrose and related tiles, and the concept of fractals are employed.