Available versions of this document: latest release, release 4.13, release 4.12, release 4.11, release 4.10, release 4.9, release 4.8, release 4.7, release 4.6, release 4.5, release 4.4, release 4.3, release 4.2, release 4.1, release 4.0, release 3.6, 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 nonhomogeneous coordinates. In particular, the coordinates of a VECTOR will *NOT* be normalized to have a leading 1.
 Type Parameters:
Scalar
: default:Rational
Properties
Input property
These properties are for input only. They allow redundant information.

VECTORS
The Vectors of the configuration
 Type:
Matrix<Scalar,NonSymmetric>
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
VECTOR_AMBIENT_DIM
andVECTOR_DIM
coincide. Type:

GALE_TRANSFORM
Coordinates of the Gale transform.
 Type:
Matrix<Scalar,NonSymmetric>

LINEAR_SPAN
Dual basis of the linear hull of the vector configuration
 Type:
Matrix<Scalar,NonSymmetric>

MULTIPLE_VECTORS
Tells if there exists multiple vectors.
 Type:

N_VECTORS
Number of
VECTORS
. Type:

POSITIVE
True if all
VECTORS
have nonnegative 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:

VECTOR_DIM
Dimension of the linear hull of the vector configuration. Similar to
CONE_DIM
. Type:
Matroid properties
Properties which belong to the corresponding (oriented) matroid

CHIROTOPE
Chirotope corresponding to
VECTORS
 Type:
 depends on extension:

CIRCUITS
 Type:

COCIRCUITS
Oriented cocircuits of
VECTORS
, oriented matroid version ofCOCIRCUITS
. 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:
MatrixActionOnVectors<Scalar>

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:
Methods
Visualization
These methods are for visualization.

VISUAL()
Visualize a vector configuration.
 Options:
 option list
Visual::Polygons::decorations
 option list
geometric_options_linear
 Returns: