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.
Daten bereitgestellt von European Bioinformatics Institute (EBI)
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Daten bereitgestellt von Europe PubMed Central.
21 References
Daten bereitgestellt von Europe PubMed Central.
Baake, J. Geom. Phys. 57(), 2007
Baake, Philos. Mag. 87(), 2007
AUTHOR UNKNOWN, 0
Barge, Ergod. Th. Dyn. Syst. 30(), 2010
Frank, J. Fractal Geom. 3(), 2016
Frettlöh, Eur. J. Combin. 29(), 2008
AUTHOR UNKNOWN, 0
Frettlöh, Discrete Contin. Dyn. Syst. 34(), 2014
Frettlöh, Indag. Math. 28(), 2017
Frettlöh, J. Aust. Math. Soc. 97(), 2014
Grimm, J. Phys. Conf. Ser. 284(), 2011
AUTHOR UNKNOWN, 0
Kari, Discrete Comput. Geom. 55(), 2016
Lagarias, Ergod. Th. Dyn. Syst. 23(), 2003
Maloney, Discrete Math. Theor. Comput. Sci. 17(), 2015
Moody, Ann. H. Poincaré 7(), 2006
Penrose, Eureka 39(), 1978
Radin, Ann. Math. 139(), 1994
Radin, Geom. Dedicata 55(), 1995
AUTHOR UNKNOWN, 0
AUTHOR UNKNOWN, 0
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