Sphairahedral approach to parameterize visible three dimensional quasi-fuchsian fractals

K. Ahara, Y. Araki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We introduce new fascinating fractal shapes which are natively embedded in the three dimensional space. These are quasispheres, that is, the limit sets of three dimensional quasifuchsian groups. There were only few examples of three dimensional quasifuchsian groups and there was no visualization of the limit sets of them. We construct a new family of three dimensional quasifuchsian groups in [Ahara, K., et al. (2002)]. We introduce rendered images of new quasispheres.

Original languageEnglish
Title of host publicationProceedings - Computer Graphics International, CGI 2003
PublisherIEEE Computer Society
Pages226-229
Number of pages4
ISBN (Electronic)0769519466
DOIs
Publication statusPublished - 1 Jan 2003
EventComputer Graphics International, CGI 2003 - Tokyo, Japan
Duration: 9 Jul 200311 Jul 2003

Publication series

NameProceedings of Computer Graphics International Conference, CGI
Volume2003-January
ISSN (Print)1530-1052

Conference

ConferenceComputer Graphics International, CGI 2003
CountryJapan
CityTokyo
Period9/07/0311/07/03

Keywords

  • Fractals
  • Gaskets
  • Mathematics
  • Quaternions
  • Ray tracing
  • Reflection
  • Rendering (computer graphics)
  • Shape
  • Three dimensional displays
  • Visualization

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  • Cite this

    Ahara, K., & Araki, Y. (2003). Sphairahedral approach to parameterize visible three dimensional quasi-fuchsian fractals. In Proceedings - Computer Graphics International, CGI 2003 (pp. 226-229). [1214471] (Proceedings of Computer Graphics International Conference, CGI; Vol. 2003-January). IEEE Computer Society. https://doi.org/10.1109/CGI.2003.1214471