Title :
Beautiful Math, Part 2: Aesthetic Patterns Based on Fractal Tilings
Author :
Peichang Ouyang ; Fathauer, Robert W.
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.
Keywords :
computational geometry; graph theory; aesthetic patterns; colored patterns; f-tiling; fractal tilings; invariant mappings design; mathematics; prototile; regular polygon segment; scaling factor; tile reduction; Boundary conditions; Equations; Fractals; Mathematics; aesthetic pattern; computer graphics; fractal; invariant mapping; tiling;
Journal_Title :
Computer Graphics and Applications, IEEE
