BigObject VectorConfiguration<Scalar> [polymake wiki]

documentation:release:4.8:polytope:vectorconfiguration

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

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

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

VECTORS

The Vectors of the configuration

Type:: Matrix<Scalar,NonSymmetric>

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 and VECTOR_DIM coincide.

Type:: Bool

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:: Bool

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:: Bool

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

Properties which belong to the corresponding (oriented) matroid

CHIROTOPE

Chirotope corresponding to VECTORS

Type:: Text
depends on extension:: topcom

CIRCUITS

Oriented circuits of VECTORS, oriented matroid version of CIRCUITS.

Type:: Set<Pair<Set<Int>,Set<Int>>>

COCIRCUITS

Oriented cocircuits of VECTORS, oriented matroid version of COCIRCUITS.

Type:: Set<Pair<Set<Int>,Set<Int>>>

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

GROUP

Type:

Group

Properties of GROUP:

MATRIX_ACTION

Type:: MatrixActionOnVectors<Scalar>

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:: Array<String>

These methods are for visualization.

VISUAL()

Visualize a vector configuration.

Options:: option list Visual::Polygons::decorations; option list geometric_options_linear
Returns:: Visual::PointConfiguration

documentation/release/4.8/polytope/vectorconfiguration.txt
Last modified: 2022/12/19 15:11
by 127.0.0.1