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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
polymake Callable Librarypolymake offers a C++ callable library, enabling you to use it from your C++ code directly. Callable library wiki page Software using our callable library |
polymake Extensionspolymake provides interfaces to various mathematical software. It also supports an extension system, allowing users to write and maintain their additions to the polymake code outside the distribution. External software we use Extensions Write your own extension! |
The polymake DatabasepolyDB is a database for objects in discrete geometry and related areas that can be accessed from within polymake. polyDB wiki page |
Research with polymake
polymake has been used for various scientific publications, and even is the subject of some.
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