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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Archīum Ateneo
2018
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| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/16 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1015&context=mathematics-faculty-pubs |
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| Institution: | Ateneo De Manila 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. |
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