Two Sculptures Based on Cyclides That Feature Inverted Villarceau Circles

Year: 2025 Authors: Francesco De Comité

Core claim

Manual sculpture can materially realize Dupin cyclides while revealing inverted Villarceau circles through wire and woven constructions.

Topics

Dupin cyclides, inverted Villarceau circles, tangible mathematical sculpture, wire and fabric construction

Domains

geometry, surface inversion, circle families on tori, topological modeling, sculpture, craft, fabric weaving, 3D art

Methods

cardboard template, steel wire frame, triangulated approximation, sewing and soldering

Media

steel wire, cardboard, fabric, silk cotton, beads

Source status

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