Volume-Enclosing Minimal Surfaces of Torus Knots and Links

Year: 2024 Authors: Christian Coletti

Core claim

Minimal surfaces constrained to torus knots and links can enclose volumes and yield stable, artistically useful forms for 3D printing, jewelry, and architecture.

Topics

minimal surfaces, torus knots and links, volume enclosure, 3D printing, mathematical art

Domains

differential geometry, topology, knot theory, surface minimization, mathematical art, jewelry design, architecture, sculpture

Methods

Surface Evolver, conjugate gradient method, parametric modeling, mesh postprocessing

Media

soap films, 3D-printed mesh, rose gold pendant, wireframe

Source status

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