Sphairahedral Approach to Parameterize Visible Three Dimensional Quasi-Fuchsian Fractals

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CGI
2003
Computer Graphics International 2003 (CGI'03)
Abstract - Sphairahedral Approach to Parameterize Visible Three Dimensional Quasi-Fuchsian Fractals

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Computer Graphics International 2003 (CGI'03)

Tokyo, Japan

July 09-July 11

ISBN: 0-7695-1946-6

	ASCII Text	x
	Kazushi Ahara, Yoshiaki Araki, "Sphairahedral Approach to Parameterize Visible Three Dimensional Quasi-Fuchsian Fractals," Computer Graphics International Conference, pp. 226, Computer Graphics International 2003 (CGI'03), 2003.

	BibTex	x
	@article{ 10.1109/CGI.2003.1214471, author = {Kazushi Ahara and Yoshiaki Araki}, title = {Sphairahedral Approach to Parameterize Visible Three Dimensional Quasi-Fuchsian Fractals}, journal ={Computer Graphics International Conference}, volume = {0}, year = {2003}, issn = {1530-1052}, pages = {226}, doi = {http://doi.ieeecomputersociety.org/10.1109/CGI.2003.1214471}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Computer Graphics International Conference TI - Sphairahedral Approach to Parameterize Visible Three Dimensional Quasi-Fuchsian Fractals SN - 1530-1052 SP EP A1 - Kazushi Ahara, A1 - Yoshiaki Araki, PY - 2003 KW - Polyhedron KW - Sphairahedron KW - 3 dimensional fractal KW - Quasi-sphere KW - High dimensional quasi-fuchsian group KW - Ideal sphairahedron VL - 0 JA - Computer Graphics International Conference ER -

Kazushi Ahara, Meiji University

Yoshiaki Araki, University of Tokyo

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CGI.2003.1214471

In this paper we introduce new fascinating fractal shapes which are natively embedded in the three dimensional space. These are quasi-spheres, that is, the limit sets of three dimensional quasi-fuchsian groups. There were only few examples of three dimensional quasi-fuchsian groups and there was no visualization of the limit sets of them. The authors construct a new family of three dimensional quasi-fuchsian groups in [1 ]. In this paper and in [6], [26], we introduce rendered images of new quasi-spheres.

Index Terms:

Polyhedron, Sphairahedron, 3 dimensional fractal, Quasi-sphere, High dimensional quasi-fuchsian group, Ideal sphairahedron

Citation:

Kazushi Ahara, Yoshiaki Araki, "Sphairahedral Approach to Parameterize Visible Three Dimensional Quasi-Fuchsian Fractals," cgi, pp.226, Computer Graphics International 2003 (CGI'03), 2003

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