Realization Spaces of Polytopes

Jürgen Richter-Gebert (Autor)

Buch | Softcover

XII, 188 Seiten

1996 | 1996
Springer Berlin (Verlag)
978-3-540-62084-6 (ISBN)

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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.

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 objects and the tools.- The universality theorem.- Applications of university.- Three-dimensional polytopes.- Alternative construction techniques.- Problems.

Erscheint lt. Verlag	16.12.1996
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XII, 188 p.
Verlagsort	Berlin
Sprache	englisch
Maße	216 x 279 mm
Gewicht	264 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Mathematik / Informatik ► Mathematik ► Graphentheorie
Schlagworte	combinatorics • Dimension • Grad • np-completeness • Oriented Matroids • Polytope • polytopes • semialgebraic sets • steinitz's theorem
ISBN-10	3-540-62084-2 / 3540620842
ISBN-13	978-3-540-62084-6 / 9783540620846
Zustand	Neuware