Geodesic
Isonemality and mononemality of woven fabrics
Applications of Mathematics, Tome 28 (1983) no. 3, pp. 194-198
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The paper studies the diagrams of woven fabrics consisting of white and black squares as geometrical objects and described their symmetries. The concepts of isonemality and mononemality due to B. Grünbaum and G. C. Shephard are used. A conjecture of these authors is proved in a particular case.
The paper studies the diagrams of woven fabrics consisting of white and black squares as geometrical objects and described their symmetries. The concepts of isonemality and mononemality due to B. Grünbaum and G. C. Shephard are used. A conjecture of these authors is proved in a particular case.
DOI : 10.21136/AM.1983.104026
Classification : 05B30, 05B45, 05B99, 51M20, 52A37
Keywords: woven fabric patterns; isonemality; mononemality 
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Zelinka, Bohdan. Isonemality and mononemality of woven fabrics. Applications of Mathematics, Tome 28 (1983) no. 3, pp. 194-198. doi: 10.21136/AM.1983.104026

[1] J. Čapek: Basic bindings of fabrics and their derivates. (Czech). SNTL Praha 1977.

[2] B. Grünbaum G. C. Shephard: Satins and Twills: An Introduction to the Geometry of Fabrics. Math. Magazine 53 (1980), 139-161. | DOI | MR

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