Some Three-dimensional Self-similar Knots

Year: 2010 Authors: Robert W. Fathauer

Core claim

Self-similarity can generate novel sculptural knot forms in 3-space through iterative geometric construction, especially when designed with a single strand and controlled scaling.

Topics

self-similar knots, iterative geometry, sculptural forms, three-dimensional visualization

Domains

knot theory, fractal geometry, iterative substitution, abstract sculpture, decorative arts, generative design

Methods

embedded-surface construction, iterative replacement, Cartesian coordinate specification, KnotPlot modeling

Media

line drawings, three-dimensional knot renderings, FreeHand, Illustrator, Photoshop

Source status

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