Michael Bakke is a Professor of Mathematics at Bielefeld University, Germany. He has been working on the theory of quasicrystals since 1987 and during that time organised several international meetings on the mathematics of aperiodic order, including workshops at Banff, Oberwolfach and the Erwin Schrödinger Institute in Vienna.

Foreword Roger Penrose; Preface; 1. Introduction; 2. Preliminaries; 3. Lattices and crystals; 4. Symbolic substitutions and inflations; 5. Patterns and tilings; 6. Inflation tilings; 7. Projection method and model sets; 8. Fourier analysis and measures; 9. Diffraction; 10. Beyond model sets; 11. Random structures; A. The icosahedral group; Appendix B. The dynamical spectrum; References; Index.