Quilting the Klein Quartic

Elisabetta Matsumoto
Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture
Pages 411–414 Short Papers

Abstract

The Klein Quartic curve contains the maximal number of symmetries a genus 3 surface can have: 84(g − 1) = 168. We create a fabric model of 24 regular heptagons that not only captures the platonic nature of the Klein Quartic, but it is flexible enough to be everted through any of its holes, thus illustrating 24 of the 168 symmetries, whilst rigid models can only display 12.

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