sagemath_topcom: Triangulations of point configurations and oriented matroids with TOPCOM¶

This pip-installable distribution passagemath-topcom provides an interface to TOPCOM, a package for computing triangulations of point configurations and oriented matroids by Jörg Rambau.

What is included¶

Raw access to all executables from Python using sage.features.topcom
The binary wheels published on PyPI include a prebuilt copy of TOPCOM.

Examples¶

Using TOPCOM programs on the command line:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-topcom" sage -sh -c 'cube 4 | points2facets'
Evaluating Commandline Options ...
... done.
16,5:
{
{0,1,2,3,4,5,6,7}
{0,1,2,3,8,9,10,11}
{0,1,4,5,8,9,12,13}
{0,2,4,6,8,10,12,14}
{1,3,5,7,9,11,13,15}
{2,3,6,7,10,11,14,15}
{4,5,6,7,12,13,14,15}
{8,9,10,11,12,13,14,15}
}

Finding the installation location of a TOPCOM program:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-topcom[test]" ipython

In [1]: from sage.features.topcom import TOPCOMExecutable

In [2]: TOPCOMExecutable('points2allfinetriangs').absolute_filename()
Out[2]: '/Users/mkoeppe/.local/pipx/.cache/cef1668ecbdb8cf/lib/python3.11/site-packages/sage_wheels/bin/points2allfinetriangs'

Using sage.geometry.triangulation.point_configuration:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-topcom[test]" ipython

In [1]: from sage.all__sagemath_topcom import *

In [2]: p = PointConfiguration([[-1,QQ('-5/9')], [0,QQ('10/9')], [1,QQ('-5/9')], [-2,QQ('-10/9')], [0,QQ('20/9')], [2,QQ('-10/9')]])

In [3]: PointConfiguration.set_engine('topcom')

In [4]: p_regular = p.restrict_to_regular_triangulations(True)

In [5]: regular = p_regular.triangulations_list()

In [6]: len(regular)
Out[6]: 16

Type¶

optional

Dependencies¶

Version Information¶

package-version.txt:

10.6.3

version_requirements.txt:

passagemath-topcom ~= 10.6.3.0

Equivalent System Packages¶

(none known)