A Connection between Twine String and an Elliptic Curve

Year: 2025 Authors: Anneke T.E. Meijer-Treep

Core claim

Comparing lattice counts along windings and circles reveals a geometric interpretation of the elliptic curve y² = x³ - x in twine-string models.

Topics

twine string, hyperbolic crochet, lattice counting, elliptic curve

Domains

elliptic curves, hyperbolic geometry, modular arithmetic, craft, textile art, material modeling

Methods

crochet modeling, pattern notation, lattice analysis, comparative counting

Media

natural fibers, crochet yarn, colored lines

Source status

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