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Classical Tessellations and Three-Manifolds (Paperback, Softcover reprint of the original 1st ed. 1987)
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Classical Tessellations and Three-Manifolds (Paperback, Softcover reprint of the original 1st ed. 1987)
Series: Universitext
Expected to ship within 10 - 15 working days
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"Mas has dicho, Sancho, de 10 que sabes (dixo Don Quixote), que hay
algunos que se cansan en saber, y averiguar cosas que despues de
sabidas, y averiguadas, no importa un ardite al entendimiento, ni a
la memoria. " "You have said more than you know, Sancho," said Don
Quixote, "for there are some who tire them selves out learning and
proving things which, once learnt and proved, do not concern either
'the under standing 01' the memory a jot. " Cervantes, Don Quixote,
Part II, Chapter LXXV, Of the great Adventure of Montesinos' Cave
in the heart of La Mancha, which the valorous Don Quixote brought
to a happy ending. 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."
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