Chapter

Polytopes — Combinatorics and Computation

Volume 29 of the series DMV Seminar pp 43-73

polymake: a Framework for Analyzing Convex Polytopes

  • Ewgenij GawrilowAffiliated withFachbereich Mathematik, MA 7-1, Technische Universität Berlin
  • , Michael JoswigAffiliated withFachbereich Mathematik, MA 7-1, Technische Universität Berlin

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Abstract

polymake is a software tool designed for the algorithmic treatment of polytopes and polyhedra. We give an overview of the functionality as well as of the structure. This paper can be seen as a first approximation to a polymake handbook.

The tutorial starts with the very basics and ends up with a few polymake applications to research problems. Then we present the main features of the system including the interfaces to other software products. polymake is free software; it is available on the Internet at http://www.math.tu-berlin.de/diskregeom/polymaka/.