Hyperbolic Isogonal Tilings from Uniform Edge Colorings

Year: 2024 Authors: Agatha Kristel M. Abila; Ma. Louise Antonette N. De las Peñas; Mark D. Tomenes

Core claim

Uniform edge colorings of hyperbolic uniform tilings can systematically generate isogonal tilings whose edges may be replaced by symmetric motifs for artistic rendering.

Topics

hyperbolic tilings, isogonal tilings, uniform edge coloring, symmetry groups, mathematical art

Domains

tiling theory, hyperbolic geometry, group theory, symmetry, mathematical art, pattern design, textile motifs, indigenous design

Methods

uniform edge-coloring construction, subgroup orbit analysis, motif substitution, symmetry classification

Media

hyperbolic plane, colored edges, flowers and butterflies, Yakan textile motifs

Source status

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