polymake is a computational mathematics environment specialising in polyhedral geometry. It provides tools for investigating polytopes, polyhedra, fans, simplicial complexes and other mathematical structures.
The software is designed primarily for mathematical research, where complex geometric and combinatorial objects often require extensive computation. It supports calculations involving facets, vertices, faces, incidence relationships and other properties of polyhedral structures.
polymake uses an extensible architecture that connects specialised mathematical algorithms through a common interface. This allows researchers to combine different computational methods without having to manage each underlying software system independently.
In addition to polyhedral geometry, polymake provides tools for studying graphs, matroids, tropical geometry and related fields. It also includes visualisation facilities that help users examine mathematical objects and interpret computational results.
This is free and open source software.
Key Features
- Construct and analyse convex polytopes and polyhedra.
- Compute geometric properties including vertices, facets, faces and incidence relations.
- Support for homogeneous coordinates and exact mathematical computations.
- Algorithms for convex hulls and related polyhedral operations.
- Study fans, cones and tropical geometric structures.
- Facilities for investigating simplicial complexes and combinatorial topology.
- Graph-theoretic algorithms and analysis of matroids.
- Visualisation of geometric and combinatorial objects.
- Interactive environment for exploring mathematical properties and calculations.
- Integration with specialised external mathematical software.
- Extensible object system supporting additional properties and algorithms.
- C++ callable library for incorporating polymake functionality into other programs.
- Database facilities for working with collections of polyhedral objects.
- Cross-platform support – runs on Linux and macOS.
Website: polymake.org
Support:
Developer: Ewgenij Gawrilow, Michael Joswig and contributors
License: GNU General Public License v2.0
polymake is written in C++ and Perl. Learn C++ with our recommended free books and free tutorials. Learn Perl with our recommended free books and free tutorials.
Related Software
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|---|---|
| GeoGebra | Dynamic mathematics software for learning and teaching |
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| Macaulay2 | Supporting research in algebraic geometry and commutative algebra |
| polymake | Research in polyhedral geometry |
| C.a.R. | Dynamic geometry program for use in schools and universities |
| Geomview | For mathematics research and education |
| Geometria | Interactive software for creating and solving problems in 3D gemoetry |
| JGEX | Construct, explore and prove geometry theorems |
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