Replacing Ammann’s A4 Tiling Vertex Key by a Stitching Constraint

Year: 2024 Authors: Pierre Gradit; Vincent Van Dongen

Core claim

A4-Classical and hitomezashi-A4 define equivalent aperiodic tiling systems, and the stitching version reveals only Fibonacci Snowflakes.

Topics

aperiodic tilings, hitomezashi stitching, polyomino constraints, super-tile substitution

Domains

tiling theory, combinatorics, aperiodic order, SAT-based search, textile pattern, Japanese stitching, polyomino design, visual ornament

Methods

equivalence proof, super-tile substitution, SAT exploration, corona search

Media

marked polyomino tiles, dashed-line decorations, coaster imagery, figures and super-tiles

Source status

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