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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| Main Authors: | , , |
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| 格式: | text |
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Archīum Ateneo
2024
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| 主題: | |
| 在線閱讀: | https://archium.ateneo.edu/mathematics-faculty-pubs/283 https://doi.org/10.1107/S2053273323008938 |
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| 機構: | Ateneo De Manila University |
| 總結: | 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. |
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