Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions

K. W. Chung; H. S Y Chan; B. N. Wang

doi:10.1016/S0960-0779(00)00086-2

Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions

K. W. Chung, H. S Y Chan, B. N. Wang

Department of Mathematics

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

11 Citations (Scopus)

Abstract

Automatic generation of coloured patterns in the three-dimensional hyperbolic space is considered from a dynamical systems point of view. Equivariant mappings with the symmetry of the Picard group is constructed. A convergence colour scheme is described, which reveals the convergence rate of various orbits and, at the same time, enhances the artistic appeal of a generated image. This method can be used to create a great variety of exotic symmetrical patterns.

Original language	English
Pages (from-to)	1181-1197
Journal	Chaos, Solitons and Fractals
Volume	12
Issue number	7
DOIs	https://doi.org/10.1016/S0960-0779(00)00086-2
Publication status	Published - Jun 2001

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title = "Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions",

abstract = "Automatic generation of coloured patterns in the three-dimensional hyperbolic space is considered from a dynamical systems point of view. Equivariant mappings with the symmetry of the Picard group is constructed. A convergence colour scheme is described, which reveals the convergence rate of various orbits and, at the same time, enhances the artistic appeal of a generated image. This method can be used to create a great variety of exotic symmetrical patterns.",

author = "Chung, {K. W.} and Chan, {H. S Y} and Wang, {B. N.}",

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T1 - Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions

AU - Chung, K. W.

AU - Chan, H. S Y

AU - Wang, B. N.

PY - 2001/6

Y1 - 2001/6

N2 - Automatic generation of coloured patterns in the three-dimensional hyperbolic space is considered from a dynamical systems point of view. Equivariant mappings with the symmetry of the Picard group is constructed. A convergence colour scheme is described, which reveals the convergence rate of various orbits and, at the same time, enhances the artistic appeal of a generated image. This method can be used to create a great variety of exotic symmetrical patterns.

AB - Automatic generation of coloured patterns in the three-dimensional hyperbolic space is considered from a dynamical systems point of view. Equivariant mappings with the symmetry of the Picard group is constructed. A convergence colour scheme is described, which reveals the convergence rate of various orbits and, at the same time, enhances the artistic appeal of a generated image. This method can be used to create a great variety of exotic symmetrical patterns.

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U2 - 10.1016/S0960-0779(00)00086-2

DO - 10.1016/S0960-0779(00)00086-2

M3 - RGC 21 - Publication in refereed journal

SN - 0960-0779

VL - 12

SP - 1181

EP - 1197

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 7

ER -

Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions

Abstract

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Erratum to: Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions (Chaos, Solitons and Fractals (2001) 12 (1941-1945) PII S0960077900000862)

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