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...
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| Main Authors: | , , |
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| Format: | text |
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Animo Repository
2018
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| Online Access: | https://animorepository.dlsu.edu.ph/faculty_research/1805 https://animorepository.dlsu.edu.ph/context/faculty_research/article/2804/type/native/viewcontent |
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| Institution: | De La Salle University |
| Summary: | 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. |
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