Equilibrium structure of decagonal AlNiCo

We investigate the high temperature decagonal quasicrystalline phase of Al${}_{72}$Ni${}_{20}$Co${}_8$ using a quasilattice gas Monte-Carlo simulation. To avoid biasing towards a specific model we use an over-dense site list with a large fraction of free sites, permitting the simulation to explore an extended region of perpendicular space. Representing the atomic surface occupancy in a basis of harmonic functions directly reveals the 5-fold symmetric component of our data. Occupancy is examined in physical and perpendicular space.