Coordination numbers of the vertex graph of a Penrose tiling.

Acta Crystallogr A Found Adv

Vladimir State University, Gorky Street, 87, Vladimir, 600000, Russian Federation.

Published: March 2018

A new approach to study coordination shells and coordination sequences of quasiperiodic graphs is suggested. The structure of the coordination shells in the vertex graph of a Penrose tiling is described. An asymptotic formula for its coordination numbers is obtained. An essentially different behaviour of the coordination numbers for even and odd shells is revealed.

Download full-text PDF

Source
http://dx.doi.org/10.1107/S2053273318000062DOI Listing

Publication Analysis

Top Keywords

coordination numbers
12
vertex graph
8
graph penrose
8
penrose tiling
8
coordination shells
8
coordination
6
numbers vertex
4
tiling approach
4
approach study
4
study coordination
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!