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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:
Properties
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:
-
N_UNIMODULAR
count how many simplcies of a geometric simplicial complex are unimodular.
- Type:
-
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:
-
UNIMODULAR
A geometric simplicial complex is unimodular if all simplices have unit normalized volume.
- Type:
-
VOLUME
Volume of a geometric simplicial complex.
- Type:
Scalar
Methods
no category
-
VISUAL()
TODO: consider all inherited user methods; then: user_method … : COORDINATES …
- Options:
- option list
Visual::Polygon::decorations
- option list
Visual::Graph::decorations