Ammann Grid and Knot Structure of a Quasiperiodic Girih Pattern

Year: 2024 Authors: Uli Gaenshirt

Core claim

The quasiperiodic Girih pattern is interwoven from three knot types, each in one-to-one correspondence with a single tile of the quasiperiodic HBS tiling.

Topics

quasiperiodic tilings, Girih patterns, Ammann grids, knot structures

Domains

aperiodic tilings, Penrose tilings, quasicrystals, Islamic geometric ornament, stone relief decoration, mathematical art

Methods

stencil-based construction, tiling comparison, substitution rules, covering model analysis

Media

stone relief, rhombus tiles, decagonal quasi-unit cell

Source status

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