Tessellations with symmetries of the wallpaper groups and the modular group in the hyperbolic 3-space from dynamics
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 333-341 |
| Journal / Publication | Computers and Graphics (Pergamon) |
| Volume | 25 |
| Issue number | 2 |
| Publication status | Published - Apr 2001 |
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Abstract
Automatic generation of colored patterns in the hyperbolic 3-space is considered from a dynamical system's point of view. The symmetries of various two-dimensional cross-sections of a tessellation are related to the 17 wallpaper groups and the modular group. The computer images generated in this paper reveal the exotic structures of the tessellations in the hyperbolic 3-space. A color scheme is described, which reflects the rate of convergence 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 aesthetic symmetrical patterns. © 2001 Elsevier Science Ltd.
Research Area(s)
- Dynamical systems, Hyperbolic 3-space, Modular group, Wallpaper groups
Citation Format(s)
Tessellations with symmetries of the wallpaper groups and the modular group in the hyperbolic 3-space from dynamics. / Chung, K. W.; Chan, H. S Y; Wang, B. N.
In: Computers and Graphics (Pergamon), Vol. 25, No. 2, 04.2001, p. 333-341.
In: Computers and Graphics (Pergamon), Vol. 25, No. 2, 04.2001, p. 333-341.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
