Crocheting Knots with Curved Surfaces

Year: 2025 Authors: Charles Zinn

Core claim

Crochet rows arranged along torus longitudes can use increases and decreases to prevent bunching and faithfully form curved knot surfaces.

Topics

knot crochet, surface curvature, pattern generation, prime knots, 3D modeling

Domains

knot theory, topology, hyperbolic volume, Reidemeister moves, fiber art, crochet design, textile sculpture, generative craft

Methods

KnotPlot simulation, Blender scripting, grid interpolation, nearest-neighbor stitch placement, pattern simplification

Media

yarn, crochet stitches, 3D computer models, Blender, KnotPlot

Source status

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