A New Method for Designing Iterated Knots

Year: 2009 Authors: Robert W. Fathauer

Core claim

Embedding crossing strands inside nested curves yields a more design-flexible iterated knot method than prior hole-substitution approaches.

Topics

iterated knots, knot design, fractal substitution, esthetic flexibility

Domains

knot theory, tangles, iterative geometry, mathematical art, visual design, generative patterning

Methods

nested curve substitution, strand crossing construction, iterative iteration, crossing-count formulas

Media

plane curves, strand diagrams, knot illustrations

Source status

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