Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1181-1197 |
| Journal / Publication | Chaos, Solitons and Fractals |
| Volume | 12 |
| Issue number | 7 |
| Publication status | Published - Jun 2001 |
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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.
Citation Format(s)
Tessellations in three-dimensional hyperbolic space from dynamics and the quaternions. / Chung, K. W.; Chan, H. S Y; Wang, B. N.
In: Chaos, Solitons and Fractals, Vol. 12, No. 7, 06.2001, p. 1181-1197.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
