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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: