Smooth-Rolling Knots

Year: 2025 Authors: Max Brodeur; Michele Vidulis; Liliane-Joy Dandy; Mark Pauly

Core claim

A two-stage optimization can transform Morton’s knots and related torus knots into perfect smooth-rolling curves with zero center-of-mass oscillation.

Topics

knot geometry, rolling motion, convex hull optimization, curve approximation

Domains

differential geometry, optimization, torus knots, convex geometry, kinetic sculpture, jewelry design, 3D printing, metal casting

Methods

parametric curve modeling, gradient-based optimization, L-BFGS-B, spline sampling

Media

3D-printed model, metal cast, earring, video

Source status

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