Girih Tiles in 3D

Year: 2018 Authors: Ulrich Reitebuch; Henriette-Sophie Lipschütz; Konrad Polthier

Core claim

A 2D girih decoration procedure can be generalized to regular-faced 3D tilings, producing star-shaped and corner solids that fill space.

Topics

girih ornament, 3D tilings, Islamic architecture, space-filling construction

Domains

tiling theory, polyhedral geometry, combinatorial topology, Islamic art, architectural ornament, geometric design

Methods

edge and face midpoint construction, perpendicular bisectors, line intersection pairing, 2-coloring

Media

cube, truncated cuboctahedron, octagonal prism, truncated octahedron

Source status

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