Medieval Islamic Architecture, Quasicrystals, and Penrose and Girih Tiles: Questions from the Classroom

Year: 2008 Authors: Raymond Tennant

Core claim

Girih and related Islamic tilings may encode nonperiodic, quasi-crystalline symmetry that reveals deeper medieval geometric knowledge.

Topics

Islamic geometric tilings, aperiodic symmetry, classroom geometry, quasicrystals

Domains

tiling theory, group symmetry, eigenvalues, golden ratio, Islamic architecture, ornamentation, Moorish design, architectural patterning

Methods

strapwork construction, straightedge and compass, tile dissection, matrix analysis

Media

girih tiles, mosaic faience, architectural stonework, Geometer’s Sketchpad

Source status

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