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From the back cover: "Key features include:
An overview of the preliminaries from group theory and geometry
Coverage of the discrete subgroups of the Euclidean group
A clear and complete derivation and classification of the 17 plane crystallographic groups
Tessellations of various spaces (they are constructed, described and classified)
A brief introduction to hyperbolic geometry.
"Each chapter contains a number of exercises, most with solutions, and suggestions for background, alternative and further reading. The author's accessible and down-to-earth approach makes this an ideal introduction for readers in the second or third year of a mathematics undergraduate course. It is also recommended for mechanical engineers, architects, physicists and crystallographers needing an understanding of 3-dimensional geometry, symmetry and trigonometry."