title: Beautiful Math, Part 5: Colorful Archimedean Tilings from Dynamical Systems.
abstract: The art of tiling originated very early in the history of civilization. Almost every known human society has made use of tilings in some form or another. In particular, tilings using only regular polygons have great visual appeal. Decorated regular tilings with continuous and symmetrical patterns were widely used in decoration field, such as mosaics, pavements, and brick walls. In science, these tilings provide inspiration for synthetic organic chemistry. Building on previous CG&amp;#x0026;A &amp;#x201C;Beautiful Math&amp;#x201D; articles, the authors propose an invariant mapping method to create colorful patterns on Archimedean tilings (1-uniform tilings). The resulting patterns simultaneously have global crystallographic symmetry and local cyclic or dihedral symmetry.
authors.forename: Peichang
authors.initials: P
authors.lastname: Ouyang
authors.forename: Weiguo
authors.initials: W
authors.lastname: Zhao
authors.forename: Xuan
authors.initials: X
authors.lastname: Huang
mesh_terms: D000465:Algorithms; D001108:Architecture / Q000379:methods*; D001154:Art; D003116:Color; D003196:Computer Graphics; D003252:Construction Materials