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Articles

A mathematician knits an afghan and counts the number of possible patterns

Pages 85-98 | Received 29 Jul 2022, Accepted 27 Mar 2023, Published online: 12 Apr 2023
 

Abstract

The Hue Shift afghan consists of 100 squares knit with 10 colours in a manner determined by a diagram. How many ways can you knit a Hue Shift afghan? What makes an afghan a Hue Shift is defined. Then the number of different afghans is determined up to symmetry considering colour order, stripe order, and direction of knitting for each square.

GRAPHICAL ABSTRACT

Acknowledgments

Thank you to Knitpicks for welcoming me to write about their pattern. Thank you to Carolyn Yackel and Sarah-Marie Belcastro for encouraging me to write this paper. Thank you to Hannah Bellwoar, Belle Tuten, Carolyn Yackel, Kristin Camenga, Sarah-Marie Belcastro, and the reviewers for reading and commenting on drafts of this paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

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