Mathematical specification of hitomezashi designs

Two mathematical aspects of the centuries-old Japanese sashiko stitching form hitomezashi are discussed: the encoding of designs using words from a binary alphabet, and duality. Traditional hitomezashi designs are analysed using these two ideas. Self-dual hitomezashi designs related to Fibonacci sno...

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Bibliographic Details
Published in:Journal of mathematics and the arts 2023-04, Vol.17 (1-2), p.156-177
Main Authors: Seaton, Katherine A., Hayes, Carol
Format: Article
Language:English
Subjects:
duality
Fibonacci snowflake
Fibre arts
hitomezashi
Mathematical analysis
Pell numbers
Stitching
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Summary:Two mathematical aspects of the centuries-old Japanese sashiko stitching form hitomezashi are discussed: the encoding of designs using words from a binary alphabet, and duality. Traditional hitomezashi designs are analysed using these two ideas. Self-dual hitomezashi designs related to Fibonacci snowflakes, which we term Pell persimmon polyomino patterns, are proposed. Both these designs and the binary words used to generate them appear to be new to their respective literatures.
ISSN:1751-3472
1751-3480
DOI:10.1080/17513472.2023.2187999