Methods for Calculating Empires in Quasicrystals

This paper reviews the empire problem for quasiperiodic tilings and the existing methods for generating the empires of the vertex configurations in quasicrystals, while introducing a new and more efficient method based on the cut-and-project technique. Using Penrose tiling as an example, this method...

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Bibliographic Details
Main Authors: Fang Fang, Dugan Hammock, Klee Irwin
Format: Article
Language:English
Published: MDPI AG 2017-10-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/7/10/304