Knitting Knots & the Framing Anomaly

Nadav Drukker; Dominik Schrimpel; Elise Paznokas

Knitting Knots & the Framing Anomaly

Nadav Drukker, Dominik Schrimpel, Elise Paznokas

King's College London

Research output: Contribution to journal › Article › peer-review

Abstract

We study the twisting fault emerging in circular knitting, and its relation to the mathematical concepts of framing curves and the Gauss linking integral. We create three knitted bands with framing zero, one, and negative two, and use three different techniques to compute the framing using the Gauss linking integral. We also briefly mention the connection to in Chern–Simons gauge theory.

Original language	English
Number of pages	8
Journal	Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture
Publication status	Published - 3 Aug 2022

Keywords

physics
mathematics
knitting
sciart

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https://archive.bridgesmathart.org/2022/bridges2022-245.pdf

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title = "Knitting Knots & the Framing Anomaly",

abstract = "We study the twisting fault emerging in circular knitting, and its relation to the mathematical concepts of framing curves and the Gauss linking integral. We create three knitted bands with framing zero, one, and negative two, and use three different techniques to compute the framing using the Gauss linking integral. We also briefly mention the connection to in Chern–Simons gauge theory.",

keywords = "physics, mathematics, knitting, sciart",

author = "Nadav Drukker and Dominik Schrimpel and Elise Paznokas",

note = "Work presented at the Bridges Math-Art conference, Aalto University, Helsinki",

year = "2022",

month = aug,

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language = "English",

journal = "Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture",

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T1 - Knitting Knots & the Framing Anomaly

AU - Drukker, Nadav

AU - Schrimpel, Dominik

AU - Paznokas, Elise

N1 - Work presented at the Bridges Math-Art conference, Aalto University, Helsinki

PY - 2022/8/3

Y1 - 2022/8/3

N2 - We study the twisting fault emerging in circular knitting, and its relation to the mathematical concepts of framing curves and the Gauss linking integral. We create three knitted bands with framing zero, one, and negative two, and use three different techniques to compute the framing using the Gauss linking integral. We also briefly mention the connection to in Chern–Simons gauge theory.

AB - We study the twisting fault emerging in circular knitting, and its relation to the mathematical concepts of framing curves and the Gauss linking integral. We create three knitted bands with framing zero, one, and negative two, and use three different techniques to compute the framing using the Gauss linking integral. We also briefly mention the connection to in Chern–Simons gauge theory.

KW - physics

KW - mathematics

KW - knitting

KW - sciart

M3 - Article

SN - 1099-6702

JO - Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture

JF - Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture

ER -

Knitting Knots & the Framing Anomaly

Abstract

Keywords

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