Knitting Knots & the Framing Anomaly

Nadav Drukker, Dominik Schrimpel, Elise Paznokas

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Number of pages8
JournalProceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture
Publication statusPublished - 3 Aug 2022


  • physics
  • mathematics
  • knitting
  • sciart


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