Beautiful math, part 3: Hyperbolic aesthetic patterns based on conformal mappings

Peichang Ouyang; Kwokwai Chung

doi:10.1109/MCG.2014.23

Beautiful math, part 3: Hyperbolic aesthetic patterns based on conformal mappings

Peichang Ouyang
, Kwokwai Chung

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

9 Citations (Scopus)

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. © 1981-2012 IEEE.

Original language	English
Article number	6777454
Pages (from-to)	72-79
Journal	IEEE Computer Graphics and Applications
Volume	34
Issue number	2
Online published	24 Mar 2014
DOIs	https://doi.org/10.1109/MCG.2014.23
Publication status	Published - Mar 2014

Research Keywords

computer graphics
conformal mapping
fundamental region
hyperbolic geometry
triangle group

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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. {\textcopyright} 1981-2012 IEEE.",

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KW - conformal mapping

KW - fundamental region

KW - hyperbolic geometry

KW - triangle group

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DO - 10.1109/MCG.2014.23

M3 - RGC 21 - Publication in refereed journal

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JO - IEEE Computer Graphics and Applications

JF - IEEE Computer Graphics and Applications

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ER -

Beautiful math, part 3: Hyperbolic aesthetic patterns based on conformal mappings

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Research Keywords

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