Primitive substitution tilings with rotational symmetries
This work introduces the idea of symmetry order, which describes the rotational symmetry types of tilings in the hull of a given substitution. Definitions are given of the substitutions σ6 and σ7 which give rise to aperiodic primitive substitution tilings with dense tile orientations and which are i...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | text |
| Published: |
Animo Repository
2018
|
| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/faculty_research/1805 https://animorepository.dlsu.edu.ph/context/faculty_research/article/2804/type/native/viewcontent |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | De La Salle University |
| id |
oai:animorepository.dlsu.edu.ph:faculty_research-2804 |
|---|---|
| record_format |
eprints |
| spelling |
oai:animorepository.dlsu.edu.ph:faculty_research-28042021-07-26T08:42:55Z Primitive substitution tilings with rotational symmetries Say-Awen, April Lynne D. de Las Peñas, Ma Louise Antonette N. Frettlöh, Dirk This work introduces the idea of symmetry order, which describes the rotational symmetry types of tilings in the hull of a given substitution. Definitions are given of the substitutions σ6 and σ7 which give rise to aperiodic primitive substitution tilings with dense tile orientations and which are invariant under six-and sevenfold rotations, respectively; the derivation of the symmetry orders of their hulls is also presented. © 2018 International Union of Crystallography. 2018-07-01T07:00:00Z text text/html https://animorepository.dlsu.edu.ph/faculty_research/1805 https://animorepository.dlsu.edu.ph/context/faculty_research/article/2804/type/native/viewcontent Faculty Research Work Animo Repository Symmetry (Mathematics) Aperiodic tilings Tiling (Mathematics) Mathematics |
| institution |
De La Salle University |
| building |
De La Salle University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
De La Salle University Library |
| collection |
DLSU Institutional Repository |
| topic |
Symmetry (Mathematics) Aperiodic tilings Tiling (Mathematics) Mathematics |
| spellingShingle |
Symmetry (Mathematics) Aperiodic tilings Tiling (Mathematics) Mathematics Say-Awen, April Lynne D. de Las Peñas, Ma Louise Antonette N. Frettlöh, Dirk Primitive substitution tilings with rotational symmetries |
| description |
This work introduces the idea of symmetry order, which describes the rotational symmetry types of tilings in the hull of a given substitution. Definitions are given of the substitutions σ6 and σ7 which give rise to aperiodic primitive substitution tilings with dense tile orientations and which are invariant under six-and sevenfold rotations, respectively; the derivation of the symmetry orders of their hulls is also presented. © 2018 International Union of Crystallography. |
| format |
text |
| author |
Say-Awen, April Lynne D. de Las Peñas, Ma Louise Antonette N. Frettlöh, Dirk |
| author_facet |
Say-Awen, April Lynne D. de Las Peñas, Ma Louise Antonette N. Frettlöh, Dirk |
| author_sort |
Say-Awen, April Lynne D. |
| title |
Primitive substitution tilings with rotational symmetries |
| title_short |
Primitive substitution tilings with rotational symmetries |
| title_full |
Primitive substitution tilings with rotational symmetries |
| title_fullStr |
Primitive substitution tilings with rotational symmetries |
| title_full_unstemmed |
Primitive substitution tilings with rotational symmetries |
| title_sort |
primitive substitution tilings with rotational symmetries |
| publisher |
Animo Repository |
| publishDate |
2018 |
| url |
https://animorepository.dlsu.edu.ph/faculty_research/1805 https://animorepository.dlsu.edu.ph/context/faculty_research/article/2804/type/native/viewcontent |
| _version_ |
1707058935839588352 |