Title

Primitive substitution tilings with rotational symmetries

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Article

Source Title

Acta Crystallographica Section A: Foundations and Advances

Volume

74

Issue

4

First Page

388

Last Page

398

Publication Date

7-1-2018

Abstract

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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Digitial Object Identifier (DOI)

10.1107/S2053273318006745

Disciplines

Mathematics

Keywords

Symmetry (Mathematics); Aperiodic tilings; Tiling (Mathematics)

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