Optimizing Morton’s Tritangentless Knots for Rolling

Year: 2020 Authors: Abigail Eget; Stephen K. Lucas; Laura Taalman

Core claim

Varying Morton’s parameter a and a z-scaling factor can minimize center-of-mass variation, yielding Morton knots that roll more smoothly and elegantly.

Topics

tritangentless knots, rolling motion, 3D printing, numerical optimization

Domains

knot theory, torus knots, geometric optimization, convex hull approximation, kinetic sculpture, 3D visualization, computational design, aesthetic form

Methods

parameter sweep, center-of-mass analysis, Nelder-Mead minimization, OpenSCAD modeling

Media

3D printed models, OpenSCAD sweeper code, tubified knot geometry

Source status

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