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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 non-homogeneous 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 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:
-
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: