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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!
Questions? Remarks? Get In Touch!
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The polymake team
Research with polymakepolymake has been used for various scientific publications, and even is the subject of some. List of publications |
polymake Extensionspolymake supports an extension system for writing and maintaining extensions outside the distribution, as well as interfaces to various mathematical software. List of available extensions External software Interfaces to polymake |
The polymake DatabasepolyDB is a database for objects in discrete geometry and related areas that can be accessed from within 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