Hyperbolic Tilings with Truly Hyperbolic Crochet Motifs

Year: 2014 Authors: Joshua Holden; Lana Holden

Core claim

Crochet can produce truly hyperbolic polygonal tiles whose curvature and dimensions are derived from hyperbolic trigonometry, enabling any regular hyperbolic tiling in theory.

Topics

hyperbolic tilings, crochet construction, polygonal motifs, negative curvature

Domains

hyperbolic geometry, hyperbolic trigonometry, regular tilings, Schläfli symbols, fiber arts, textile design, craft-based mathematics, pattern making

Methods

granny square variation, hyperbolic law of cosines, exponential increases, stitch substitution

Media

double crochet, treble stitches, crochet yarn, afghan motifs

Source status

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