Natural Color Symmetry

Frank A. Farris, Santa Clara University

BRIDGES WATERLOO 2017 Mathematics, Art, Music, Architecture, Education, Culture University of Waterloo Waterloo, Ontario, Canada 27–31 July, 2017


Existing techniques to create images with color-reversing (or other kinds of color symmetry) produce results that look less than natural. We produce images with approximate color symmetries by using the domain coloring algorithm with suitable complex Fourier series and photographs that have varying degrees of naturally occurring color symmetry. The technique yields patterns where the color symmetry looks less crystallographic than those previously produced, but perhaps more artistic. The technique produces an interesting combination of symmetrical and natural patterns.