Triangulations Of Point Configurations and Oriented Matroids

https://www.wm.uni-bayreuth.de/de/team/rambau_joerg/TOPCOM/

TOPCOM is a package for computing Triangulations Of Point Configurations

and Oriented Matroids. It was very much inspired by the maple program

PUNTOS, which was written by Jesus de Loera. TOPCOM is entirely written

in C++, so there is a significant speed up compared to PUNTOS.

Version: 0.17.10

## General Commands | |

B_A | compute the group B_A_n |

B_A_center | compute the normalized group B_A_n |

B_D | compute the group B_D_n |

TOPCOM-cross | compute the vertices of the D-dimensional cross-polytope |

TOPCOM-cube | compute the vertices and symmetry generators of a d-cube |

TOPCOM-cyclic | compute vertices and symmetry generators of a cyclic D-polytope |

TOPCOM-hypersimplex | compute the symmetry generators of a hypersimplex |

TOPCOM-lattice | compute the permutations of a lattice |

checkregularity | count non-regular triangulations of a point configuration |

chiro2allfinetriangs | compute all fine triangulations of a chirotope |

chiro2alltriangs | compute all triangulations of a chirotope |

chiro2circuits | compute the circuits of a chirotope |

chiro2cocircuits | compute the cocircuits of a chirotope |

chiro2dual | compute the dual of a chirotope |

chiro2finetriang | compute a fine triangulation of a chirotope |

chiro2finetriangs | compute fine triangulations of a chirotope |

chiro2mintriang | compute the minimum triangulation of a chirotope |

chiro2nallfinetriangs | find the number of fine triangulations of a chirotope |

chiro2nalltriangs | compute the number of triangulations of a chirotope |

chiro2nfinetriangs | find the number of fine triangulations of a chirotope |

chiro2ntriangs | compute the number of triangulations of a chirotope |

chiro2placingtriang | compute the placing triangulation of a chirotope |

chiro2triangs | compute all triangulations of a chirotope |

cocircuits2facets | compute the facets of a set of cocircuits |

points2allfinetriangs | find all fine triangulations of a point configuration |

points2alltriangs | compute all triangulations of a point configuration |

points2chiro | compute the chirotope of a point configuration |

points2facets | compute the facets of a point configuration |

points2finetriang | compute a fine triangulation of a point configuration |

points2finetriangs | compute all fine triangulations of a point configuration |

points2flips | compute all flips of a point configuration |

points2nallfinetriangs | find the number of fine triangulations of a point configuration |

points2nalltriangs | find the number of triangulations of a point configuration |

points2nfinetriangs | find the number of fine triangulations of a point configuration |

points2nflips | compute the number of flips of a point configuration |

points2ntriangs | find the number of triangulations of a point configuration |

points2placingtriang | compute the placing triangulation of a point configuration |

points2triangs | compute all triangulations of a point configuration |

points2volume | compute the volume of a point configuration |

santos_22_triang | compute the Santos triangulation of a point configuration |

santos_dim4_triang | compute the Santos triangulation of a point configuration |

santos_triang | compute the Santos triangulation of a point configuration |

## Miscellanea | |

TOPCOM | triangulations of point configurations and oriented matroids |