Connections between Hitomezashi Patterns and Truchet Tiling

Year: 2023 Authors: David A. Reimann

Core claim

Hitomezashi patterns map to a constrained subset of Truchet tilings characterized by a parity condition on each 2×2 block.

Topics

pattern correspondence, grid tilings, sashiko embroidery, parity arguments

Domains

combinatorics, tiling theory, mod 2 parity, discrete geometry, textile art, Japanese embroidery, pattern design, decorative mending

Methods

constructive mapping, counting argument, parity proof, visual comparison

Media

square grid, quarter-circle arcs, thread and fabric, white-on-indigo embroidery

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.