Atlas of quasicrystalline tilings. (Q1419020)

This article presents an atlas of quasicrystalline tilings given by the canonical projection method. The author gives a classification according to various sublattices of \(Z^n\), namely \(D_n\) (checkerboard lattice), \(A_n, E_n, \dots\). He presents a huge number of beautiful images of such tilings in order to understand the structure of quasicrystalline tilings. Finally, he builds some tables to summarize combinatorial properties of quasicrystalline tilings.