Hyperbolic Islamic Patterns — A Beginning

Year: 2001 Authors: Douglas Dunham

Core claim

A framework based on regular tessellations and symmetry groups enables hyperbolic Islamic patterns related to Euclidean wallpaper patterns.

Topics

Islamic geometric patterns, hyperbolic geometry, regular tessellations, symmetry groups

Domains

hyperbolic geometry, group theory, tessellation theory, symmetry, Islamic art, pattern design, ornament, visual design

Methods

Poincaré circle model, symmetry classification, tessellation-based construction, computer-generated patterns

Media

buildings, cloth, pottery, printed figures

Source status

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