Aperiodic Crystals collects 37 selected papers from the scientific contributions presented at Aperiodic 2012 - the Seventh International Conference on Aperiodic Crystals held in Cairns, Australia, 2-7 of September 2012.

A brief history of aperiodic crystals: 1962-2012.- Squiral Diffraction.- Random Noble Means Substitutions.- Magic Numbers in the Discrete Tomography of Cyclotomic Model Sets.- Some Comments on the Inverse Problem of Pure Point Diffraction.- Well-rounded sublattices and coincidence site lattices.- Octagon-based Quasi-crystalline Formations in Islamic Architecture.- The Ammann-Beenker Tilings Revisited.- Substitution rules and topological properties of the Robinson tilings.- Short-range Spin Fluctuation in the Zn-Mg-Tb Quasicrystal and the Relation to the Boson peak.- Anomalous properties and the electronic glass-like state in Al-based stable quasicrystals.- Quantum Diffusion in Separable d-Dimensional Quasiperiodic Tilings.- Hume-Rothery Stabilization Mechanism of Be-Based Complex Alloys.- Hume-Rothery Stabilization Mechanism in Tsai-type Cd6Ca Approximant and e/a Determination of Ca and Cd Elements in the Periodic Table.- Hume-Rothery Stabilization Mechanism in Low-Temperature Phase Zn6Sc Approximant and e/a Determination of Sc and Y in M-Sc and M-Y (M=Zn, Cd and Al) Alloy Systems.- Analysis of dislocations in quasicrystals composed of self-assembled nanoparticles.- Average Unit Cell in Fourier Space and Its Application to Decagonal Quasicrystals.- Study of phase equilibria in Al-Pd-Co system at 700 °C.- Evolution of phases in selected Al-Co-Cu complex metallic alloys under near-equilibrium conditions at 800-1150°C.- Superspace Description of the System Bi2(n+2)MonO6(n+1) (n = 3, 4, 5 and 6).- Pseudo-Commensurate GdBaCo2O5+d and Its Phase Transition at Elevated Temperatures.- Al4(Cr,Fe): a structure survey.- Phase transitions in aperiodic composite crystals.- Pseudo Symmetry in Tungsten Bronze Type Sr3TiNb4O15.- Structural Investigation of the Incommensurate Modulated Ta2O5.Al2O3 System.- First-principles study for phase diagrams of Cd-Ca and Cd-Y Tsai-type Approximants under pressure.- The choice of vector basis for Ammann Tiling in a context of theAverage Unit Cell.- Real Space Structure Factor and Scaling for Quasicrystals.- Direct observations of aperiodic arrangements of transition-metal atoms in Al-Co-Ni decagonal quasicrystals by Cs-corrected HAADF-STEM.- Arrangement of transition-metal atoms in an approximant crystal related to Al-Cu-Co decagonal quasicrystals studied by Cs-corrected HAADF-STEM.- Structure of e 16 phase in Al-Pd-Co system studied by HREM and X-ray diffraction.- Structure of t2-Al3Co, a monoclinic approximant of the Al-Co decagonal quasicrystal.- Reverse Monte Carlo study of diffuse scattering from a frustrated protein system.- Dynamical flexibilty in the periodic Zn6Sc 1/1-approximant.- Trajectories of colloidal particles in laser fields with eight-, ten-, or twelve-fold symmetry and phasonic drift.- Catalytic properties of fivefold surfaces of quasicrystal approximants.- Effect of leaching on surface microstructure and chemical composition of Al-based quasicrystals.