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.

B_A

Compute the group B_A_n. Output is written to stdout. The standard options described in TOPCOM(7) are available.

Compute the group B_A_n. Output is written to stdout. The standard options described in TOPCOM(7) are available.

B_A_center

Compute the normalized group B_A_n. Output is written to stdout. The standard options described in TOPCOM(7) are available.

Compute the normalized group B_A_n. Output is written to stdout. The standard options described in TOPCOM(7) are available.

B_D

Compute the group B_D_n. Output is written to stdout. The standard options described in TOPCOM(7) are available.

Compute the group B_D_n. Output is written to stdout. The standard options described in TOPCOM(7) are available.

checkregularity

Count the non-regular triangulations of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in...

Count the non-regular triangulations of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in...

chiro2allfinetriangs

Compute all fine triangulations of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

Compute all fine triangulations of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

chiro2alltriangs

Compute all triangulations of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

Compute all triangulations of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

chiro2circuits

Compute the circuits of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

Compute the circuits of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

chiro2cocircuits

Compute the cocircuits of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

Compute the cocircuits of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

chiro2dual

Compute the dual of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

Compute the dual of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

chiro2finetriang

Compute a fine (i.e., using all vertices) triangulation of a chirotope by placing and pushing. Input is read from stdin; output is written to stdout. The...

Compute a fine (i.e., using all vertices) triangulation of a chirotope by placing and pushing. Input is read from stdin; output is written to stdout. The...

chiro2finetriangs

Compute all fine triangulations of a chirotope that are connected by bistellar flips to a fine seed triangulation. Input is read from stdin; output is written...

Compute all fine triangulations of a chirotope that are connected by bistellar flips to a fine seed triangulation. Input is read from stdin; output is written...

chiro2mintriang

Compute the minimum triangulation of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

Compute the minimum triangulation of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

chiro2nallfinetriangs

Compute the number of fine triangulations of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

Compute the number of fine triangulations of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

chiro2nalltriangs

Compute the number of triangulations of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

Compute the number of triangulations of a chirotope. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

chiro2nfinetriangs

Compute the number of fine triangulations of a chirotope that are connected by bistellar flips to a fine seed triangulation. Input is read from stdin; output is...

Compute the number of fine triangulations of a chirotope that are connected by bistellar flips to a fine seed triangulation. Input is read from stdin; output is...

chiro2ntriangs

Compute the number of triangulations of a chirotope that are connected by bistellar flips to the regular triangulations. Input is read from stdin; output is...

Compute the number of triangulations of a chirotope that are connected by bistellar flips to the regular triangulations. Input is read from stdin; output is...

chiro2placingtriang

Compute the placing triangulation of a chirotope given by the numbering of the elements. Input is read from stdin; output is written to stdout. The standard...

Compute the placing triangulation of a chirotope given by the numbering of the elements. Input is read from stdin; output is written to stdout. The standard...

chiro2triangs

Compute all triangulations of a chirotope that are connected by bistellar flips to the regular triangulations. Input is read from stdin; output is written to...

Compute all triangulations of a chirotope that are connected by bistellar flips to the regular triangulations. Input is read from stdin; output is written to...

cocircuits2facets

Compute the facets of a set of cocircuits. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

Compute the facets of a set of cocircuits. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

points2allfinetriangs

Compute all fine triangulations of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

Compute all fine triangulations of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

points2alltriangs

Compute all triangulations of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

Compute all triangulations of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

points2chiro

Compute the chirotope of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

Compute the chirotope of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are...

points2facets

Compute the facets of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

Compute the facets of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

points2finetriang

Compute a fine (i.e., using all vertices) triangulation of a point configuration by placing and pushing. Input is read from stdin; output is written to stdout...

Compute a fine (i.e., using all vertices) triangulation of a point configuration by placing and pushing. Input is read from stdin; output is written to stdout...

points2finetriangs

Compute all fine triangulations of a point configuration that are connected by bistellar flips to a fine seed triangulation. Input is read from stdin; output is...

Compute all fine triangulations of a point configuration that are connected by bistellar flips to a fine seed triangulation. Input is read from stdin; output is...

points2flips

Compute all flips of a point configuration and the seed triangulation. Input is read from stdin; output is written to stdout. The standard options described in...

Compute all flips of a point configuration and the seed triangulation. Input is read from stdin; output is written to stdout. The standard options described in...

points2nallfinetriangs

Compute the number of fine triangulations of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in...

Compute the number of fine triangulations of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in...

points2nalltriangs

Compute the number of triangulations of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in...

Compute the number of triangulations of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in...

points2nfinetriangs

Compute the number of fine triangulations of a point configuration that are connected by bistellar flips to a fine seed triangulation. Input is read from stdin...

Compute the number of fine triangulations of a point configuration that are connected by bistellar flips to a fine seed triangulation. Input is read from stdin...

points2nflips

Compute the number of flips of a point configuration and the seed triangulation. Input is read from stdin; output is written to stdout. The standard options...

Compute the number of flips of a point configuration and the seed triangulation. Input is read from stdin; output is written to stdout. The standard options...

points2ntriangs

Compute the number of triangulations of a point configuration that are connected by bistellar flips to the regular triangulations. Input is read from stdin...

Compute the number of triangulations of a point configuration that are connected by bistellar flips to the regular triangulations. Input is read from stdin...

points2placingtriang

Compute the placing triangulation of a point configuration given by the numbering of the elements. Input is read from stdin; output is written to stdout. The...

Compute the placing triangulation of a point configuration given by the numbering of the elements. Input is read from stdin; output is written to stdout. The...

points2triangs

Compute all triangulations of a point configuration that are connected by bistellar flips to the regular triangulations. Input is read from stdin; output is...

Compute all triangulations of a point configuration that are connected by bistellar flips to the regular triangulations. Input is read from stdin; output is...

points2volume

Compute the volume of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

Compute the volume of a point configuration. Input is read from stdin; output is written to stdout. The standard options described in TOPCOM(7) are available.

santos_22_triang

Compute a Santos point configuration, its symmetries, and its Santos triangulation without flips from a point configuration. Input is read from stdin; output is...

Compute a Santos point configuration, its symmetries, and its Santos triangulation without flips from a point configuration. Input is read from stdin; output is...

santos_dim4_triang

Compute a Santos point configuration, its symmetries, and its Santos triangulation without flips from a point configuration. Input is read from stdin; output is...

Compute a Santos point configuration, its symmetries, and its Santos triangulation without flips from a point configuration. Input is read from stdin; output is...

santos_triang

Compute a Santos point configuration, its symmetries, and its Santos triangulation without flips from a point configuration. Input is read from stdin; output is...

Compute a Santos point configuration, its symmetries, and its Santos triangulation without flips from a point configuration. Input is read from stdin; output is...

TOPCOM-cross

Compute the vertices of the D-dimensional cross-polytope. The point configuration is written to stdout.

Compute the vertices of the D-dimensional cross-polytope. The point configuration is written to stdout.

TOPCOM-cube

Compute the vertices and symmetry generators of a cube of dimension D. The output is written to stdout.

Compute the vertices and symmetry generators of a cube of dimension D. The output is written to stdout.

TOPCOM-cyclic

Compute the vertices and symmetry generators of the cyclic D-polytope with N vertices. The point configuration is written to stdout.

Compute the vertices and symmetry generators of the cyclic D-polytope with N vertices. The point configuration is written to stdout.

TOPCOM-hypersimplex

Compute the vertices and symmetry generators of the Kth hypersimplex in dimension D. The output is written to stdout.

Compute the vertices and symmetry generators of the Kth hypersimplex in dimension D. The output is written to stdout.

TOPCOM

TOPCOM programs share a command-line parsing library. Therefore, all TOPCOM programs accept the following options. Note that some options are not relevant to...

TOPCOM programs share a command-line parsing library. Therefore, all TOPCOM programs accept the following options. Note that some options are not relevant to...