Optimal Geometry as Art

Year: 2003 Authors: John M. Sullivan

Core claim

Optimal geometric structures can function as art because mathematical economy produces visually appealing forms in foams, sphere eversion, and minimal surfaces.

Topics

art and mathematics, geometric optimization, scientific visualization, minimal surfaces, sphere eversion

Domains

optimization, differential geometry, topology, geometry of surfaces, knot theory, visual art, sculpture, scientific illustration

Methods

mathematical modeling, computer simulation, thin-film optics rendering, cutaway visualization, surface optimization

Media

soap froth, computer-generated prints, Renderman shading, minimal surface sculpture, triangulated simulation

Source status

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