Folding the Vesica Piscis

Year: 2018 Authors: Klara Mundilova; Tony Wills

Core claim

A folded Vesica Piscis can be rigorously modeled as cylinder-and-cone developable surfaces, with explicit parametrizations and circular crease curves for a specific height range.

Topics

Vesica Piscis, developable surfaces, curved crease folding, explicit parametrization

Domains

geometry, parametric surface theory, elliptic integrals, sculpture, paper folding, geometric design

Methods

numerical experiments, geometric proof, surface parametrization, symmetry analysis

Media

sheet bronze, paper folding, cylindrical and conical patches

Source status

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