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Beautiful Math, Part 3: Hyperbolic Aesthetic Patterns Based on Conformal Mappings
Found in: IEEE Computer Graphics and Applications
By Peichang Ouyang, Kwokwai Chung
Issue Date:March 2014
pp. 72-79
This third installment of the Beautiful Math articles considers the visualization of aesthetic patterns with hyperbolic-triangle-group symmetries. A flexible form of invariant mappings contributes to a simple, efficient way to generate hyperbolic patterns....
 
Beautiful Math, Part 2: Aesthetic Patterns Based on Fractal Tilings
Found in: IEEE Computer Graphics and Applications
By Peichang Ouyang,Robert W. Fathauer
Issue Date:January 2014
pp. 68-76
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...
 
Beautiful Math--Aesthetic Patterns Based on Logarithmic Spirals
Found in: IEEE Computer Graphics and Applications
By Xinchang Wang, Peichang Ouyang
Issue Date:November 2013
pp. 21-23
A simple, fast method generates various visually appealing spiral patterns. The method is based on the concept that spiral patterns comprise a symmetry group of tilings. It employs invariant mappings and a dynamical system to create seamless colored patter...
 
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