Fractal Knots Created by Iterative Substitution

Year: 2007 Authors: Robert W. Fathauer

Core claim

A knot can be turned into a fractal by repeatedly replacing selected portions with scaled-down copies of a self-similar starting knot.

Topics

fractal knots, iterative substitution, self-similarity, wild knots

Domains

knot theory, fractals, topology, tiling, mathematical art, lattice design, visual symmetry, pattern design

Methods

projection rearrangement, tile substitution, recursive iteration, strand tracing

Media

knot diagrams, tile patches, digital renderings, figure illustrations

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.