Decoration of inflated kite-clusters

Abstract

We analyse a sequence of inflated kite-clusters and present recursive relations for the number of atoms decorating these clusters. We discuss in detail the corresponding diffraction patterns, the fraction of independently chosen atoms and the energy per atom. We find that only the first four clusters, which are decorated by a relatively small number of atoms, are important from an experimental point of view.

Keywords:

• quasicrystals
• clusters
• Penrose tiling
• energy