Attainable Symmetry in Generalized Hitomezashi Patterns

Year: 2024 Authors: Antara Sen; Megan Martinez

Core claim

Only nine wallpaper groups are attainable for periodic generalized hitomezashi patterns, and each can be characterized by properties of the generating binary strings.

Topics

hitomezashi embroidery, binary-string encoding, wallpaper symmetries, periodic patterns

Domains

combinatorics, group theory, plane symmetries, wallpaper groups, embroidery, textile design, sashiko, pattern making

Methods

binary string analysis, symmetry characterization, theorem proof, case analysis

Media

fabric, thread, binary strings, grid-based stitch patterns

Source status

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