This unusual book, richly illustrated with 19 colour plates and about 250 line drawings, explores the relationship between classical tessellations and3-manifolds. In his original entertaining style with numerous exercises and problems, the author provides graduate students with a source of geomerical insight to low-dimensional topology, while researchers in this field will find here an account of a theory that is on the one hand known tothem but here is presented in a very different framework.
S1-Bundles Over Surfaces.- Manifolds of Tessellations on the Euclidean Plane.- Appendix A: Orbifolds.- Manifolds of Spherical Tessellations.- Seifert Manifolds.- Manifolds of Hyperbolic Tessellations.- Appendix B: The Hyperbolic Plane.- Source of the Ornaments.- References.- Further Reading.- Notes to Plate I.- Notes to Plate II.
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