From Klein Bottles to Modular Super-Bottles
Carlo H. Séquin

Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture
Pages 41–48
Regular Papers

Abstract

A modular approach is presented for the construction of 2-manifolds of higher genus, corresponding to the connected sum of multiple Klein bottles. The geometry of the classical Klein bottle is employed to construct abstract geometrical sculptures with some aesthetic qualities. Depending on how the modular components are combined to form these “Super-Bottles” the resulting surfaces may be single-sided or double-sided.

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