Hyperbolic Semi-Regular Tilings and their Symmetry Properties

Year: 2007 Authors: Ma. Louise Antonette N. De Las Peñas; Glenn R. Laigo; Eden Delight B. Provido

Core claim

Specific classes of hyperbolic semi-regular tilings can be characterized by their symmetry groups and encoded with Conway orbifold notation.

Topics

hyperbolic tilings, symmetry groups, color symmetry, orbifold notation

Domains

hyperbolic geometry, group theory, tiling theory, crystallographic groups, mathematical art, pattern design, Escher-inspired imagery, rug design

Methods

orbifold notation, fundamental region analysis, Poincaré circle model, computer-generated tilings

Media

Mathematica packages, colored tilings, rugs, pattern renderings

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.