Basic properties of convex polytopes

Martin Henk; Jürgen Richter-Gebert; Günter M. Ziegler

doi:10.1201/9781315119601

Basic properties of convex polytopes

Martin Henk
, Jürgen Richter-Gebert
, Günter M. Ziegler

Chair of Geometry and Visualization

Technische Universität Berlin
Free University of Berlin

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

26 Scopus citations

Abstract

Convex polytopes are fundamental geometric objects that have been investigated since antiquity. The beauty of their theory is nowadays complemented by their importance for many other mathematical subjects, ranging from integration theory, algebraic topology, and algebraic geometry to linear and combinatorial optimization.

Original language	English
Title of host publication	Handbook of Discrete and Computational Geometry, Third Edition
Publisher	CRC Press
Pages	383-413
Number of pages	31
ISBN (Electronic)	9781498711425
ISBN (Print)	9781498711395
DOIs	https://doi.org/10.1201/9781315119601
State	Published - 1 Jan 2017

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abstract = "Convex polytopes are fundamental geometric objects that have been investigated since antiquity. The beauty of their theory is nowadays complemented by their importance for many other mathematical subjects, ranging from integration theory, algebraic topology, and algebraic geometry to linear and combinatorial optimization.",

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BT - Handbook of Discrete and Computational Geometry, Third Edition

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Basic properties of convex polytopes

Abstract

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