The mathematics of satins

Authors

  • Carles Lladó
  • Josep M. Brunat

DOI:

https://doi.org/10.2436/20.2002.01.108

Keywords:

fabric, design, sateen, satin, square satin, symmetric satin, lattice, extended Euclid's algorithm, optimal basis, Fibonacci numbers, Fibonacci satin

Abstract

Satins are a particularly relevant class of fabrics. This paper provides a general  framework that identifies a satin with a Z2 lattice and relates the analysis of satins to  classical results in number theory and  geometry. Square, symmetrical (in  particular rectangular symmetrical and  rhombus symmetrical) and concordant  satins are dealt with. Fibonacci satins are  also introduced, characterizing those that  are symmetrical and those that are square. 

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Published

2023-12-21

How to Cite

Lladó, C., & Brunat, J. M. (2023). The mathematics of satins. Butlletí De La Societat Catalana De Matemàtiques, 38(1), 33–66. https://doi.org/10.2436/20.2002.01.108

Issue

Vol. 38 No. 1 (2023)

Section

Articles

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