A Trip to the Zoo

Abstract

This chapter contains a collection of more or less specific Kleinian groups with diverse properties. The organization is strictly utilitarian; the examples are grouped according to the techniques used in their construction, rather than by related properties. Some of the examples are included for practical instruction in the use of combination theorems, or of Poincaré’s polyhedron theorem; others are included for theoretical purposes, and will be used in subsequent chapters; yet others are included for the usual aesthetic reasons; the author finds them important, interesting, or amusing (however, there is no guide as to the reason or reasons any particular exhibit is in the collection).