Horosphere, Cyclide and 3d Hyperbolic Tilings

Year: 2018 Authors: Vladimir Bulatov

Core claim

Different cross sections of H^3 tilings reveal distinct symmetry, periodicity, and aesthetic properties useful for visualization and decoration.

Topics

hyperbolic tilings, cross-section visualization, symmetry and periodicity, 2D mapping

Domains

hyperbolic geometry, 3D tilings, Coxeter tetrahedra, mathematical visualization, decorative pattern design, interactive media

Methods

surface cross sections, Poincaré Ball model, Upper Half Space model, conformal mapping

Media

interactive web application, videos, 2D display

Source status

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