Available versions of this document: latest release, release 3.5, nightly master

Reference documentation for older polymake versions: release 3.4, release 3.3, release 3.2

BigObject VectorConfiguration<Scalar>

from application polytope

An object of type VectorConfiguration deals with properties of row vectors, assembled into an n x d matrix called VECTORS. The entries of these row vectors are interpreted as non-homogeneous coordinates. In particular, the coordinates of a VECTOR will *NOT* be normalized to have a leading 1.

Type Parameters:

Scalar: default: Rational

Input property

These properties are for input only. They allow redundant information.


VECTORS

The Vectors of the configuration

Type:

Geometry

These properties capture geometric information of the object. Geometric properties depend on geometric information of the object, like, e.g., vertices or facets.


FULL_DIM
Type:

GALE_TRANSFORM

Coordinates of the Gale transform.

Type:

LINEAR_SPAN

Dual basis of the linear hull of the vector configuration

Type:

MULTIPLE_VECTORS

Tells if there exists multiple vectors.

Type:

N_VECTORS

Number of VECTORS.

Type:
Int

POSITIVE

True if all VECTORS have non-negative coordinates, that is, if they all lie entirely in the positive orthant.

Type:

VECTOR_AMBIENT_DIM

Dimension of the space in which the vector configuration lives. Similar to CONE_AMBIENT_DIM.

Type:
Int

VECTOR_DIM

Dimension of the linear hull of the vector configuration. Similar to CONE_DIM.

Type:
Int

Matroid properties

Properties which belong to the corresponding (oriented) matroid


CHIROTOPE

Chirotope corresponding to VECTORS

Type:
depends on extension:

CIRCUITS

Circuits in VECTORS

Type:

COCIRCUITS

Cocircuits in VECTORS

Type:

Symmetry

These properties capture information of the object that is concerned with the action of permutation groups.


GROUP
Type:
Properties of GROUP:
MATRIX_ACTION
Type:

Visualization

These properties are for visualization.


LABELS

Unique names assigned to the VECTORS. If specified, they are shown by visualization tools instead of point indices.

Type:

Visualization

These methods are for visualization.


VISUAL()

Visualize a vector configuration.

Options:
Returns:

  • documentation/latest/polytope/vectorconfiguration.txt
  • Last modified: 2019/08/13 10:31
  • (external edit)