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.
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polymake Callable Library
polymake 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 Extensions
polymake 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.
Extensions
Write your own extension!
polyhedral data
polymake comes with its own dataformat and database interface to the polyDB. Additionally there exist a wide variety of other datasets that can be treated by polymake, but do not fit into the polyDB directly
polyDB wiki page
polyhedral data overview
Research with polymake
polymake has been used for various scientific publications, and even is the subject of some.
External software
polymake makes use of various external software packages.
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