Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics
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...
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Archīum Ateneo
2024
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| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/283 https://doi.org/10.1107/S2053273323008938 |
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ph-ateneo-arc.mathematics-faculty-pubs-12842024-10-09T06:49:58Z Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics De las Penas, Ma. Louise Antonette Tomenes, Mark Liza, Kristan 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. 2024-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/283 https://doi.org/10.1107/S2053273323008938 Mathematics Faculty Publications Archīum Ateneo 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 |
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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 |
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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 De las Penas, Ma. Louise Antonette Tomenes, Mark Liza, Kristan Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics |
| description |
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. |
| format |
text |
| author |
De las Penas, Ma. Louise Antonette Tomenes, Mark Liza, Kristan |
| author_facet |
De las Penas, Ma. Louise Antonette Tomenes, Mark Liza, Kristan |
| author_sort |
De las Penas, Ma. Louise Antonette |
| title |
Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics |
| title_short |
Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics |
| title_full |
Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics |
| title_fullStr |
Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics |
| title_full_unstemmed |
Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics |
| title_sort |
symmetry groups of two-way twofold and three-way threefold fabrics |
| publisher |
Archīum Ateneo |
| publishDate |
2024 |
| url |
https://archium.ateneo.edu/mathematics-faculty-pubs/283 https://doi.org/10.1107/S2053273323008938 |
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1814055919580872704 |