Structure of decagonal quasicrystals described by clusters

The cluster model offers a new approach to the structure of quasicrystals. The model assumes that the whole structure can be covered by only one structure unit – the cluster. However, because quasicrystals are not periodic, clusters must overlap each other. The first known cluster is G33 proposed by Gummelt. Another type of cluster is the kite cluster – it is the smallest possible cluster that can cover the whole Penrose tiling. There are three different kite clusters: 17-atom K17, 7-atom K7 and 4-atom K4 discussed in the paper.