Package TOPCOM

Triangulations Of Point Configurations and Oriented Matroids

http://www.rambau.wm.uni-bayreuth.de/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.

General Commands
Command Description
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
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
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
Miscellanea
Name Description
TOPCOM triangulations of point configurations and oriented matroids