Realization Spaces of Polytopes

ISBN-13: 9783540620846 / Angielski / Miękka / 1996 / 188 str.

Jurgen Richter-Gebert; Jrgen Richter-Gebert

Opis

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.

Spis treści

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

O autorze

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".