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Home > 2013 Mathematical Art Exhibition
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"Double Boy Klein Bottle," by Carlo Séquin (University of Califnornia, Berkeley)

6" x 8" x 7", FDM Model (blue ABS plastic), 2012

Boy's surface, a compact model of the projective plane, with a small disk removed is topologically equivalent to a Möbius band. Every Klein bottle can be composed of two Möbius bands that are glued together by their edges. In this model a Klein bottle is created by gluing together two mirror images of a 3-fold symmetrical Boy surface with a disk removed from its pole. The result is a Klein bottle with S6 symmetry, showing six of the "inverted sock" openings characteristic of the classical Klein bottle. -- Carlo Séquin

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American Mathematical Society