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The Mathematical Theory of the Sateen Arrangement

Published online by Cambridge University Press:  03 November 2016

S. A. Shorter
S. A. Shorter*
Affiliation:
University of Leeds
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Extract

Geometrically considered the sateen arrangement is a certain regular method of arranging points on squared paper, each point being placed at the centre of a square. In textile work the sateen arrangement is used, (1) as a basis for actual weaves, (2) as a mode of distributing over the surface of a cloth the repeats of an ornamental design.

Type
Research Article
Information
The Mathematical Gazette , Volume 10 , Issue 147 , July 1920 , pp. 92 - 97
Copyright
Copyright © Mathematical Association 1920

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References

page note 92 * In practice these “points” are expanded into solid black squares.

page note 93 * For the sake of brevity we will call the sateen of order n and step s the n/s sateen.

page note 94 * The step of one, or one leas than the order, gives a continuous twill which is not regarded as a sateen.

page note 97 * Assuming that a square sateen has “twilliness” of zero, the most suitable measure of the “twilliness” would of course be log