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Realization Spaces of Polytopes
Paperback
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Artikel-Nr:
9783540620846
Veröffentl:
1996
Einband:
Paperback
Erscheinungsdatum:
16.12.1996
Seiten:
200
Autor:
Jürgen Richter-Gebert
Gewicht:
312 g
Format:
235x155x12 mm
Serie:
1643, Lecture Notes in Mathematics
Sprache:
Englisch
Beschreibung:
Jürgen Richter-Geberts ist Leiter des Lehrstuhls Geometrie und Visualisierung am Zentrum Mathematik der TU München. Er ist Initiator der Mathematikausstellung "ix-quadrat" und des Web Portals "Mathe-Vital".
The book collects results about realization spaces of polytopes. It gives a presentation of the author's "Universality Theorem for 4-polytopes". It is a comprehensive survey of the important results that have been obtained in that direction. The approaches chosen are direct and very geometric in nature. The book is addressed to researchers and to graduate students. The former will find a comprehensive source for the above mentioned results. The latter will find a readable introduction to the field. The reader is assumed to be familiar with basic concepts of linear algebra.
The objects and the tools.- The universality theorem.- Applications of university.- Three-dimensional polytopes.- Alternative construction techniques.- Problems.