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 GeometricSimplicialComplex<Scalar>

from application topaz

A geometric simplicial complex, i.e., a simplicial complex with a geometric realization. Scalar is the numeric data type used for the coordinates.

Type Parameters:

Scalar: default: Rational

derived from:
SimplicialComplex

### no category

COORDINATES

Coordinates for the vertices of the simplicial complex, such that the complex is embedded without crossings in some Re. Vector (x1, …. xe) represents a point in Euclidean e-space.

Type:
Matrix<Scalar,NonSymmetric>

G_DIM

Dimension e of the space in which the COORDINATES of the complex is embedded.

Type:
Int

N_UNIMODULAR

count how many simplcies of a geometric simplicial complex are unimodular.

Type:
Int

SIGNATURE

Signature of a geometric simplicial complex embedded in the integer lattice. Like DUAL_GRAPH_SIGNATURE, but only simplices with odd normalized volume are counted.

Type:
Int

UNIMODULAR

A geometric simplicial complex is unimodular if all simplices have unit normalized volume.

Type:
Bool

VOLUME

Volume of a geometric simplicial complex.

Type:
Scalar

### no category

VISUAL()

TODO: consider all inherited user methods; then: user_method … : COORDINATES …

Options:
option list Visual::Polygon::decorations
option list Visual::Graph::decorations

• documentation/latest/topaz/geometricsimplicialcomplex.txt