Directions in mathematical quasicrystals Self similar measures for quasicrystals Michael Baake and Robert V. Moody Fourier analysis of deformed model sets Guillaume Bernuau and Michel Duneau Mathematical quasicrystals and the problem of diffraction Jeffrey C. Lagarias Designer quasicrystals : cut and project sets with pre assigned properties Peter A.B. Pleasants Generalized model sets and dynamical systems Martin Schlottmann On shelling icosahedral quasicrystals Alfred Weiss Tilings C* algebras and K theory Johnannes Kellendonk and Ian F. Putnam Hulls of aperiodic solids and gap labeling theorems J. Bellissard D.J.L. Herrmann and M. Zarrouati Quasicrystals parametric density and Wulff shape K(c)Łroly B(c)œr(c)œczky Jr. Uwe Schnell and J(c)œrg M. Wills Gordon type arguments in the spectral theory of one dimensional quasicrystals David Damanik The planar dimer model with boundary : a survey Richard Kenyon Digit tiling of Euclidean space Andrew Vince A guide to quasicrystal literature Michael Baake and Uwe Grimm