Primitive substitution tilings with rotational symmetries
Say-awen ALD, De las Penas MLAN, Frettlöh D (2018)
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES 74(4): 388-398.
Zeitschriftenaufsatz
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Autor*in
Say-awen, April Lynne D.;
De las Penas, Ma Louise Antonette N.;
Frettlöh, DirkUniBi
Einrichtung
Abstract / Bemerkung
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 sigma(6) and sigma(7) 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.
Stichworte
symmetry order;
aperiodic tilings;
substitution tilings;
rotation-invariant tilings;
dense tile orientations
Erscheinungsjahr
2018
Zeitschriftentitel
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES
Band
74
Ausgabe
4
Seite(n)
388-398
ISSN
2053-2733
Page URI
https://pub.uni-bielefeld.de/record/2930272
Zitieren
Say-awen ALD, De las Penas MLAN, Frettlöh D. Primitive substitution tilings with rotational symmetries. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES. 2018;74(4):388-398.
Say-awen, A. L. D., De las Penas, M. L. A. N., & Frettlöh, D. (2018). Primitive substitution tilings with rotational symmetries. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 74(4), 388-398. doi:10.1107/S2053273318006745
Say-awen, April Lynne D., De las Penas, Ma Louise Antonette N., and Frettlöh, Dirk. 2018. “Primitive substitution tilings with rotational symmetries”. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES 74 (4): 388-398.
Say-awen, A. L. D., De las Penas, M. L. A. N., and Frettlöh, D. (2018). Primitive substitution tilings with rotational symmetries. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES 74, 388-398.
Say-awen, A.L.D., De las Penas, M.L.A.N., & Frettlöh, D., 2018. Primitive substitution tilings with rotational symmetries. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 74(4), p 388-398.
A.L.D. Say-awen, M.L.A.N. De las Penas, and D. Frettlöh, “Primitive substitution tilings with rotational symmetries”, ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, vol. 74, 2018, pp. 388-398.
Say-awen, A.L.D., De las Penas, M.L.A.N., Frettlöh, D.: Primitive substitution tilings with rotational symmetries. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES. 74, 388-398 (2018).
Say-awen, April Lynne D., De las Penas, Ma Louise Antonette N., and Frettlöh, Dirk. “Primitive substitution tilings with rotational symmetries”. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES 74.4 (2018): 388-398.
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