Artistic Patterns in Hyperbolic Geometry

Year: 1999 Authors: Douglas Dunham

Core claim

Hyperbolic patterns must repeat with symmetry, and computers make it practical to create artistically compelling examples beyond Escher’s manual constructions.

Topics

hyperbolic geometry, repeating patterns, symmetry groups, color symmetry, computer-generated art

Domains

non-Euclidean geometry, tessellations, group theory, symmetry, plane geometry, mathematical art, pattern design, visual composition

Methods

Poincaré circle model, regular tessellations, computer generation, motif repetition, symmetry analysis

Media

computer-generated patterns, woodcut-inspired images, tessellation diagrams, color motifs, printed figures

Source status

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