An Approach in Coloring Semi-Regular Tilings on the Hyperbolic Plane

Year: 2005 Authors: Ma. Louise Antonette N. De Las Peñas; Glenn R. Laigo; René P. Felix

Core claim

Perfect colorings of the hyperbolic semi-regular tilings 8·8·5 and 4·10·8 can be systematically obtained from subgroups of their symmetry group.

Topics

perfect colorings, semi-regular tilings, hyperbolic plane, subgroup structure, symmetry groups

Domains

group theory, hyperbolic geometry, tiling theory, coset actions, pattern coloring, geometric design, visual symmetry

Methods

subgroup enumeration, coset coloring, GAP computation, symmetry analysis

Media

hyperbolic tessellations, tile diagrams, computer-generated colorings

Source status

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