DocumentCode
48194
Title
Beautiful Math, Part 3: Hyperbolic Aesthetic Patterns Based on Conformal Mappings
Author
Peichang Ouyang ; Kwokwai Chung
Author_Institution
Jinggangshan Univ., Ji´an, China
Volume
34
Issue
2
fYear
2014
fDate
Mar.-Apr. 2014
Firstpage
72
Lastpage
79
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;
fLanguage
English
Journal_Title
Computer Graphics and Applications, IEEE
Publisher
ieee
ISSN
0272-1716
Type
jour
DOI
10.1109/MCG.2014.23
Filename
6777454
Link To Document