From Seifert Surfaces to Star Cinders

Year: 2019 Authors: Carlo H. Séquin

Core claim

Symmetrical knot and link configurations can support aesthetically compelling soap-film-like 2-manifolds that extend Seifert-surface ideas into sculptural Star Cinders.

Topics

Seifert surfaces, soap-film-like surfaces, symmetrical knot links, 3D sculpture

Domains

knot theory, link theory, minimal surfaces, symmetry groups, mathematical sculpture, generative design, 3D printing, CAD modeling

Methods

radial projection, color-complement construction, nested surface integration, B-spline approximation

Media

soap film, bronze sculpture, CAD model, 3D print

Source status

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