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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | text |
| Published: |
Archīum Ateneo
2024
|
| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/264 https://doi.org/10.1107/S2053273323008938 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Ateneo De Manila University |
| id |
ph-ateneo-arc.mathematics-faculty-pubs-1265 |
|---|---|
| record_format |
eprints |
| spelling |
ph-ateneo-arc.mathematics-faculty-pubs-12652024-04-15T07:05:03Z 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/264 https://doi.org/10.1107/S2053273323008938 Mathematics Faculty Publications Archīum Ateneo bi-axial and tri-axial weaves layer groups two-way twofold and three-way threefold fabrics weavings Geometry and Topology Mathematics Physical Sciences and Mathematics |
| institution |
Ateneo De Manila University |
| building |
Ateneo De Manila University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
Ateneo De Manila University Library |
| collection |
archium.Ateneo Institutional Repository |
| topic |
bi-axial and tri-axial weaves layer groups two-way twofold and three-way threefold fabrics weavings Geometry and Topology Mathematics Physical Sciences and Mathematics |
| spellingShingle |
bi-axial and tri-axial weaves layer groups two-way twofold and three-way threefold fabrics weavings Geometry and Topology 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/264 https://doi.org/10.1107/S2053273323008938 |
| _version_ |
1797546536166490112 |