Infinite Quasi-Periodic Origami Tilings

Year: 2021 Authors: Gabriel Perko-Engel; Carlo H. Sequin

Core claim

Quasi-periodic origami tilings can be built from Penrose- or Wang-style tiles by using folded zig-zag edge characterizations that prevent periodic assembly.

Topics

quasi-periodic tilings, origami folding patterns, tile-edge encoding, aperiodic assemblies

Domains

tiling theory, aperiodic geometry, Penrose tilings, Wang tiles, origami art, paper folding design, pattern design, geometric aesthetics

Methods

tile partitioning, twist-region design, valley-mountain assignment, zig-zag edge characterization

Media

paper, crease patterns, folded paper tiles, diagrammatic figures

Source status

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