線圖是指用環狀繩索在雙手之間拉開,並透過各種方式在手指和手腕上扭曲和編織而產生的任何圖案。可以使用紐結理論研究以這種方式實現的交叉組合。
上述線圖被稱為阿帕奇門 (Apache door) (Jayne 1975, pp. 12-15, Fig. 21) 或帳篷 flap (tent flap) (Ball 1971, p. 5, Fig. 2)。
上述圖示的線圖被稱為“雅各的天梯 (Jacob's ladder)”,奧塞奇鑽石 (Osage diamonds) (Jayne 1975, pp. 24-27, Fig. 50),漁網或四重鑽石 (quadruple diamonds) (Ball 1971, p. 19, Fig. 7)。
線圖屬於世界各地許多民族的古老傳統,甚至在原始文化中也存在,如今被認為是數學教育中的一種娛樂活動。在英語國家,它們也被稱為兒童遊戲“貓的搖籃 (cat's cradle)”。
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此條目由 Margherita Barile 貢獻
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參考文獻
Amir-Moéz, A. R. and Hamilton, J. D. "Art and Mathematics of String Figures." J. Recr. Math. 7, 23-34, 1974.Amir-Moéz, A. R. String Figures: A Symbolic Approach. Lubbock, TX: Western Printing Company, 1979.Ball, W. W. R. Ch. 16 in Mathematical Recreations and Essays, 5th ed. London: Macmillan, pp. 348-379, 1911. [The original Ch. 16 was removed in subsequent editions, and reprinted as a separate work by Ball (1928) and a collection of essays Ball et al. (1980).]Ball, W. W. R. Fun with String Figures. New York: Dover, 1971.Ball, W. W. R.; Petersen, J.; Carslaw, H. S.; and Cajori, F. String Figures and Other Monographs. New York: Chelsea, 1960.Gibbs, W. and Sihlabela, M. "String Figures." Math. in School 25,24-27, 1996.International String Figure Association. http://www.isfa.org/isfa.htm.Jayne, C. F. String Figures and How to Make Them: A Study of Cat's-Cradle in Many Lands. New York: Dover, 1975.Lee, E. "WWW Collection of Favorite String Figures." http://alysion.org/string.htm.Probert, M. "String Figures, Mathematics, Origin." http://website.lineone.net/~m.p/sf/menu.html.Scharringhausen, B. "String Figures." http://astrosun.tn.cornell.edu/~brs/strfigs/.在 上引用
線圖
引用為
Barile, Margherita. “線圖。” 來自 ——Wolfram 網路資源,由 Eric W. Weisstein 建立。 https://mathworld.tw/StringFigure.html
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