Symmetry groups of two-way twofold and three-way threefold fabrics

被引：2

作者：

Antonette De Las Penas, Ma. Louise ^{[1
]}

Tomenes, Mark ^{[1
]}

Liza, Kristan ^{[1
]}

机构：

[1] Ateneo Manila Univ, Dept Math, Loyola Hts, Quezon City 1108, Metro Manila, Philippines

来源：

ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES | 2024年 / 80卷

关键词：

two-way twofold and three-way threefold fabrics; bi-axial and tri-axial weaves; layer groups; weavings; COLORING ISONEMAL FABRICS; BRAVAIS COLORINGS; PLANAR MODULES; WEAVINGS;

D O I：

10.1107/S2053273323008938

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

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.

引用

页码：33 / 51

页数：19

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