"Primitive substitution tilings with rotational symmetries" by April Lynne D. Say-Awen, Ma Louise Antonette N. de Las Peñas et al.
 

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.

html

Digitial Object Identifier (DOI)

10.1107/S2053273318006745

Disciplines

Mathematics

Keywords

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

Upload File

wf_yes

This document is currently not available here.

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 1
  • Usage
    • Abstract Views: 6
see details

Share

COinS