Polyhedral-Edge Knots

Year: 2021 Authors: Carlo H. Séquin

Core claim

By routing knot strands along polyhedral edges, one can create visually symmetric knot sculptures that evoke Platonic or Archimedean solids despite knot symmetry limits.

Topics

knot sculpture, polyhedral symmetry, Eulerian circuit, 3D printing

Domains

knot theory, group symmetry, graph traversal, Eulerian circuits, sculpture, constructivist art, parametric design, 3D fabrication

Methods

symmetry analysis, polyhedral edge routing, B-spline curve design, 3D printing

Media

tubular knot forms, 3D prints, wire-frame polyhedra

Source status

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