Yvon-Villarceau Circle Equivalents on Dupin Cyclides

Year: 2015 Authors: Francesco De Comité

Core claim

Operations effective on torus-based circle artworks can be transferred to Dupin cyclides through sphere inversion, yielding attractive 3D-printable forms.

Topics

sphere inversion, Dupin cyclides, Yvon-Villarceau circles, 3D printing, mathematical art

Domains

geometry, algebraic surfaces, inversion geometry, circle families, mathematical art, computational design, 3D printed sculpture, wireframe forms

Methods

sphere inversion, surface transformation, parameter variation, 3D printing

Media

printed models, wireframe renderings, 3D-printed objects, images

Source status

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