hitomezashi设计的数学规范

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Mathematics and the Arts Pub Date : 2022-08-01 DOI:10.1080/17513472.2023.2187999

K. Seaton, Carol Hayes

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引用次数: 3

摘要

几个世纪以来，日本sashiko拼接形式hitomezashi的两个数学方面进行了讨论:使用二进制字母的编码设计，和对偶性。利用这两种思想对传统的一目之画进行了分析。提出了与斐波那契雪花相关的自对偶偶偶设计，我们称之为佩尔柿子多米诺图案。这些设计和用于生成它们的二进制词在各自的文献中似乎都是新的。图形抽象

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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 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. GRAPHICAL ABSTRACT

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来源期刊

Journal of Mathematics and the Arts MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

0.50

自引率

0.00%

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