Title :
Beautiful Math, Part 3: Hyperbolic Aesthetic Patterns Based on Conformal Mappings
Author :
Peichang Ouyang ; Kwokwai Chung
Author_Institution :
Jinggangshan Univ., Ji´an, China
Abstract :
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. Combined with conformal mappings, this method can yield an abundance of exotic patterns.
Keywords :
computational geometry; conformal mapping; hyperbolic equations; pattern formation; conformal mappings; exotic patterns; hyperbolic aesthetic pattern visualization; hyperbolic-triangle-group symmetries; invariant mappings; Computational modeling; Conformal mapping; Equations; Geometry; Mathematical model; Mathematics; Reflection; computer graphics; conformal mapping; fundamental region; hyperbolic geometry; triangle group;
Journal_Title :
Computer Graphics and Applications, IEEE
DOI :
10.1109/MCG.2014.23
