Review of the hardback: '... gives a well-organised description of the geometries of these materials at a mathematical level which should not be too frightening to any graduate chemist ... it will appeal to those working in crystallography, metallurgy, solid state and materials science.' Chemistry World Review of the hardback: '... written in a pleasant, easy to read style. The book is a valuable source of reference and information for all mathematicians interested in geometry and its applications to materials sciences. It will certainly contribute to the fruitful and exciting dialogue between materials scientists and mathematicians.' Zentralblatt MATH