Machine derived contents note: Contents: Introduction.- Properties of Transformations.- Translations and Halfturns.- Reflections.- Congruence.- The Product of Two Reflections.- Even Isometries.- Classification of Plane Isometries.- Equations for Isometries.- The Seven Frieze Groups.- The Seventeen Wallpaper Groups.- Tessellations.- Similarities on the Plane.- Classical Theorems.- Affine Transformations.- Transformations on Three-Space.- Space and Symmetry.- Hints and Answers.- Notation Index.- Index