Title of article :
A cluster approach to random Penrose tilings
Author/Authors :
Gummelt، نويسنده , , Petra and Bandt، نويسنده , , Christoph، نويسنده ,
Abstract :
An experimentally relevant subclass of the full random Penrose pentagon tiling ensemble is generated using a single cluster. Local matching rules based on cluster overlaps are equivalent to relatively weak axioms on minimal cluster distances. Energy and entropy arguments and recent results on constituent atomic clusters in decagonal quasicrystals are discussed.
Keywords :
Penrose tiling , Cluster models , Random tiling , Quasicrystals
Journal title :
Astroparticle Physics