A Plane-Filling Curve Using Ammann A5 Tiles

Year: 2014 Authors: Richard Hassell

Core claim

Complex aperiodic tilings can support plane-filling curves when tile substitutions and curve markings are designed together.

Topics

space-filling curves, aperiodic tilings, recursive substitution, marked tiles

Domains

fractal geometry, tiling theory, L-systems, topology, generative pattern design, architectural geometry, visual art, mosaic tiling

Methods

recursive substitution, L-system replacement, marked tile notation, boundary matching

Media

Ammann A5 tiles, square and rhombus prototiles, diagrammatic figures

Source status

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