Polygonal Tiles from Hitomezashi Patterns and Heat Equations

Year: 2025 Authors: Bjorn Vermeersch

Core claim

Procedural sashiko stitch patterns can be transformed via heat diffusion and conformal mapping into visually rich polygonal tile designs.

Topics

hitomezashi patterns, heat diffusion equation, polygonal tiles, conformal mapping, tessellations

Domains

partial differential equations, conformal mapping, tessellations, textile-inspired design, math art, decorative tiling, generative pattern design

Methods

procedural binary codes, two-colouring, heat equation solving, Schwarz-Christoffel mapping, image-based colour rendering

Media

sashiko embroidery patterns, photograph colour wheel, rectangular tiles, polygonal tiles

Source status

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