Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics
Document Type
Article
Publication Date
2024
Abstract
This work discusses the symmetry groups of two classes of woven fabrics, two-way twofold fabrics and three-way threefold fabrics. A method to arrive at a design of a fabric is presented, employing methods in color symmetry theory. Geometric representations of all possible layer group or diperiodic symmetry structures of the fabrics are derived. There are 50 layer symmetry groups corresponding to two-way twofold fabrics and 27 layer symmetry groups corresponding to three-way threefold fabrics.
Recommended Citation
De Las Peñas, M.L.A.N., Tomenes, M. and Liza, K. Symmetry groups of two-way twofold and three-way threefold fabrics. Acta Cryst. A80 (2024) 33-51. https://doi.org/10.1107/S2053273323008938