Combinatorial and Discrete Geometry¶
Sage includes classes for hyperplane arrangements, polyhedra, toric varieties (including polyhedral cones and fans), triangulations and some other helper classes and functions.
Hyperplane arrangements¶
Polyhedral computations¶
Polyhedra¶
- Library of commonly used, famous, or interesting polytopes
- Polyhedra
- Parents for Polyhedra
- H(yperplane) and V(ertex) representation objects for polyhedra
- Functions for plotting polyhedra
- A class to keep information about faces of a polyhedron
- Generate cdd
.ext/.inefile format - Formal modules generated by polyhedra
Lattice polyhedra¶
Polyhedral complexes¶
Toric geometry¶
Base classes for polyhedra¶
Backends for Polyhedra¶
- The cdd backend for polyhedral computations
- The Python backend
- The Normaliz backend for polyhedral computations
- The polymake backend for polyhedral computations
- The PPL (Parma Polyhedra Library) backend for polyhedral computations
- Double Description Algorithm for Cones
- Double Description for Arbitrary Polyhedra