Mathematical Theory of the Sateen Arrangement
Sample pages
Page 4, at reduced quality. Open the document to read every page in full.
A mathematical paper by S. A. Shorter on the sateen (satin) arrangement of points on squared paper, used both for weave construction and for distributing ornamental repeats. It restates the two classical rules (order and step prime to each other; complementary steps give mirror images) and adds a third rule from rotation by a right angle to count distinct sateens of a given order. It then develops the 'sateen lattice', gives formulas for order and step from lattice measurements, and discusses 'twilliness' and 'perfect' sateens, with a table of the first seven. Diagrams of sateen grids illustrate the argument.
- Type
- Article
- Date
- 1920
- Language
- English
- Pages
- 6
- Weaving drafts
- on 1 page: 1
(A free account is all you need)
From Ralph Griswold's Digital Archive, delivered by the University of Arizona.
Have missing pages or a better copy of this document, or another document to share? Contributing documents »