Symmetric Embedding of Locally Regular Hyperbolic Tilings

Year: 2007 Authors: Carlo H. Séquin

Core claim

Fractional Dehn twists on a tetrahedrally symmetric construction generate many locally regular hyperbolic tilings, including some globally regular examples, while preserving embeddability.

Topics

hyperbolic tilings, genus surfaces, Dehn twists, symmetry groups, Escher-like patterns

Domains

topology, geometry, group theory, combinatorics, Riemann surfaces, mathematical art, 3D visualization, sculptural design

Methods

tetrahedral construction, fractional Dehn twists, polyhedral embedding, symmetry analysis

Media

3D Euclidean models, polyhedral meshes, computer-generated renderings

Source status

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