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polymake is open source software for research in polyhedral geometry. It deals with polytopes, polyhedra and fans as well as simplicial complexes, matroids, graphs, tropical hypersurfaces, and other objects.

Supported platforms include various flavors of Linux, FreeBSD and Mac OS, and you can also try it online!

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The polymake team

Research with polymake polymake has been used for various scientific publications, and is even the subject of some.	polymake Extensions polymake supports an extension system for writing and maintaining extensions outside the distribution, as well as interfaces to various mathematical software.	The polymake Database polyDB is a database for objects in discrete geometry and related areas that can be accessed from within polymake.
List of publications	List of available extensions External software Interfaces to polymake	polyDB wiki page

Citation

If you are using polymake we would like to ask you to cite at least one of the following papers [BibTeX entries]:

• Ewgenij Gawrilow and Michael Joswig. polymake: a framework for analyzing convex polytopes. Polytopes—combinatorics and computation (Oberwolfach, 1997), 43–73, DMV Sem., 29, Birkhäuser, Basel, 2000. MR1785292 (2001f:52033).
• Benjamin Assarf, Ewgenij Gawrilow, Katrin Herr, Michael Joswig, Benjamin Lorenz, Andreas Paffenholz and Thomas Rehn. Computing convex hulls and counting integer points with polymake. Math. Program. Comput. 9 (2017), no. 1, 1-38. MR3613012

Acknowledgements

We gratefully acknowledge partial support by DFG within the Priority Program 1489, SFB-TRR 109 and SFB-TRR 195. Research by M. Joswig is carried out in the framework of Matheon supported by Einstein Foundation Berlin.