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

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

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Detail(s)

Original languageEnglish
Article number6777454
Pages (from-to)72-79
Journal / PublicationIEEE Computer Graphics and Applications
Volume34
Issue number2
Online published24 Mar 2014
Publication statusPublished - Mar 2014

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-84897407102&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(28c73350-74c0-4f4d-b3fa-7c43a11b000b).html

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.

Research Area(s)

  • computer graphics, conformal mapping, fundamental region, hyperbolic geometry, triangle group

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Publication fingerprints text

100
Conformal Mapping Mathematics
100
Pattern-based Keyphrases
100
Aesthetic Pattern Keyphrases
100
conformal mapping INIS
50
Symmetry Group Mathematics
50
Triangle Mathematics
50
Invariant Mapping Keyphrases
50
Triangle Groups Keyphrases
50
Group Symmetry Keyphrases
50
Hyperbolic Triangle Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
Beautiful math, part 3: Hyperbolic aesthetic patterns based on conformal mappings. / Ouyang, Peichang; Chung, Kwokwai.
In: IEEE Computer Graphics and Applications, Vol. 34, No. 2, 6777454, 03.2014, p. 72-79.

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