Mathematical specification of hitomezashi designs
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866912252740763648 |
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| author | Seaton, Katherine A. Hayes, Carol |
| author_facet | Seaton, Katherine A. Hayes, Carol |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_12580 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Mathematical specification of hitomezashi designs Seaton, Katherine A. Hayes, Carol History and Overview 97M80, 05A05 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. |
| title | Mathematical specification of hitomezashi designs |
| topic | History and Overview 97M80, 05A05 |
| url | https://arxiv.org/abs/2208.12580 |