Visualization of Escher-like Kaleidoscopic Spherical Patterns of Regular Polyhedron Symmetry

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

  • Krzysztof Gdawiec
  • Kwok Wai Chung
  • Alain Nicolas
  • David Bailey
  • Peichang Ouyang

Related Research Unit(s)

Detail(s)

Original languageEnglish
Article numbere14999
Journal / PublicationComputer Graphics Forum
Volume43
Issue number1
Online published3 Jan 2024
Publication statusPublished - Feb 2024

Abstract

In this paper, we present a method for creating Escher-like spherical patterns with regular polyhedron symmetries. Using the generators of the symmetry groups associated with regular polyhedra, we first provide fast algorithms to construct spherical tilings. Then, to obtain Escher-like patterns, we specify texturing techniques to decorate the resulting tilings. Moreover, we present a strategy to create a novel dynamic effect of Escher-like kaleidoscopes in which the motifs have a complete body. The method has the advantages of simple implementation, fast calculation, good graphics, and artistic effects, which can be used to create rich elegant spherical patterns. © 2024 Eurographics - The European Association for Computer Graphics and John Wiley & Sons Ltd.

Research Area(s)

  • Escher art, kaleidoscope, regular polyhedra, spherical pattern, symmetry group

Citation Format(s)

Visualization of Escher-like Kaleidoscopic Spherical Patterns of Regular Polyhedron Symmetry. / Gdawiec, Krzysztof; Chung, Kwok Wai; Nicolas, Alain et al.
In: Computer Graphics Forum, Vol. 43, No. 1, e14999, 02.2024.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review