title: Beautiful math, part 2: aesthetic patterns based on fractal tilings.
abstract: A fractal tiling (f-tiling) is a tiling whose boundary is fractal. This article presents two families of rare, infinitely many f-tilings. Each f-tiling is constructed by reducing tiles by a fixed scaling factor, using a single prototile, which is a segment of a regular polygon. The authors designed invariant mappings to automatically produce appealing seamless, colored patterns from such tilings.
authors.lastname: Peichang Ouyang
authors.forename: Robert W
authors.initials: RW
authors.lastname: Fathauer