Devising a ‘Purist Knitting Aesthetic’ Six-Colored Möbius Band
Katherine Seaton

Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture
Pages 355–358
Short Papers

Abstract

It is well-known (among mathematicians) that a Möbius band can be six-colored, unlike the plane, where four colors suffice. It is also well-known (to knitters) that a Möbius band can be knitted with intrinsic twist. This paper describes how the technical challenges to knitting a six-colored Möbius band with intrinsic twist can be overcome. Such items may be useful as manipulatives in the classroom, or as a fashion statement.

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