From Klein Bottles to Modular Super-Bottles

Carlo H. Séquin
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 41–48


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.