Single-Strand, Two-Sided Cross-Stitch

Year: 2025 Authors: D. Jacob Wildstrom

Core claim

Changing the fabric topology from a rectangle to a loop or Möbius band breaks parity constraints enough to make single-strand, two-sided cross-stitch possible.

Topics

cross-stitch embroidery, parity and bipartite graphs, topological surfaces, two-sided patterning

Domains

graph theory, bipartite graphs, graph products, parity, embroidery, fiber art, textile pattern design, craft aesthetics

Methods

graph-theoretic analysis, topological argument, stitch-path construction, comparative design discussion

Media

thread, woven cloth, rectangular grid, sewn loop, Möbius band

Source status

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