Gregory R. Maloney - On substitution tilings of the plane with n-fold rotational symmetry

dmtcs:2108 - Discrete Mathematics & Theoretical Computer Science, June 12, 2015, Vol. 17 no. 1 - https://doi.org/10.46298/dmtcs.2108
On substitution tilings of the plane with n-fold rotational symmetry

Authors: Gregory R. Maloney 1

  • 1 Newcastle University [Newcastle]

A method is described for constructing, with computer assistance, planar substitution tilings that have n-fold rotational symmetry. This method uses as prototiles the set of rhombs with angles that are integer multiples of pi/n, and includes various special cases that have already been constructed by hand for low values of n. An example constructed by this method for n = 11 is exhibited; this is the first substitution tiling with elevenfold symmetry appearing in the literature.

https://doi.org/10.46298/dmtcs.2108
Source: HAL:hal-01196852v1
Volume: Vol. 17 no. 1
Section: Discrete Algorithms
Published on: June 12, 2015
Submitted on: September 13, 2014
Keywords: Rhombs,Tiling,Algorithm,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo DOI 10.1103/physrevb.39.10519
Source : ScholeXplorer IsRelatedTo PMID 9947860
  • 10.1103/physrevb.39.10519
  • 9947860
Simple octagonal and dodecagonal quasicrystals.

Share and export

Consultation statistics

This page has been seen 276 times.
This article's PDF has been downloaded 495 times.