Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics

• Main Authors: De las Penas, Ma. Louise Antonette, Tomenes, Mark, Liza, Kristan
• Format: text
• Published: Archīum Ateneo 2024
• Subjects: two-way twofold and three-way threefold fabrics; bi-axial and tri-axial weaves; layer groups; weavings.; Geometry and Topology; Other Mathematics; Physical Sciences and Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/283; https://doi.org/10.1107/S2053273323008938
• Institution: Ateneo De Manila University

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 s...