Classical Tessellations and Three-Manifolds
Jose M. Montesinos-Amilibia - Classical Tessellations and Three-Manifolds
Published: 1987 | ISBN: 3540152911, 0387152911 | PDF | 230 pages | 5.78 MB
This book explores a relationship between classical tessellations and three-manifolds. All of us are very familiar with the symmetrical ornamental motifs used in the decoration of walls and ceilings. Oriental palaces contain an abundance of these, and many examples taken from them will be found in the following pages. These are the so-called mosaics or symmetrical tessellations of the euclidean plane. Even though we can imagine or even create very many of them, in fact the rules governing them are quite restrictive, if our purpose is to understand the symmetric group of the tessellation, that is to say, the group consisting of the plane isometries which leave the tessel- lation invariant.