Folding the Vesica Piscis
Klara Mundilova and Tony Wills

Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture
Pages 535–538
Short Papers

Abstract

Inspired by a sculpture by Susan Latham, we study a two-parameter family of shapes obtained by folding two overlapping circles, so that their boundaries coincide and the involved surfaces are cylinders or cones. Through determination of explicit parametrizations, we prove their geometric existence. Furthermore, we find a one-parameter subfamily, where the creases are circular in their development.

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