Symmetry orbits

the long version

Symmetry groups are of intense interest to mathematicians, physicists, chemists, and designers, as well as to the "philomorphs" who are attracted to the ideas of Design Science. The author of this book has beautifully illustrated active symmetry through the observation of the orbit of a plain cube as it creates an arrangement of cube replicas with overall symmetry under such a specific group. For the general reader, the beauty and utility of the resulting pictures are evident. The mathematician, scientific investigator, or student will welcome further a full description of all finite symmetry groups with relevant drawings, calculations, and data. The book will appeal to a wide range of researchers and students, even at the undergraduate level, in geometry, crystallography, structural chemistry, engineering, architecture - and the developing discipline of Design Science.