Generation of quasicrystals via a single cluster

We present a columnar cluster with 46 atoms per repeat distance which forces a quasicrystal when space is filled by interpenetrating copies of itself. The atomic positions in the resultant quasicrystal are remarkably similar to those in models for real decagonal quasicrystals. The axes of the pentagonal antiprism subclusters of this model reveal an even simpler tile decoration, with only three atoms, that forces a quasicrystal under certain constraints.