As explained in chapter 3., an object of type SCSimplicialComplex
or SCNormalSurface
provides a set of property handlers for easily accessing and computing its properties using the .-operator.
For example, the f-vector of a simplicial complex / normal surface c
that is stored as SCSimplicialComplex
object can be accessed via the statement c.F;
. See below for a list of all properties supported by a SCSimplicialComplex
and SCNormalSurface
object.
SCSimplicialComplex
This section contains a table of all property handlers of a SCSimplicialComplex
object.
Property handler | Function called |
ASDet | SCAltshulerSteinberg (4.5-1) |
AlexanderDual | SCAlexanderDual (4.6-1) |
AutomorphismGroup | SCAutomorphismGroup (4.5-2) |
AutomorphismGroupInternal | SCAutomorphismGroupInternal (4.5-3) |
Boundary | SCBoundary (4.5-4) |
BoundaryOperatorMatrix | SCBoundaryOperatorMatrix (5.1-1) |
Chi | SCEulerCharacteristic (4.5-7) |
CoboundaryOperatorMatrix | SCCoboundaryOperatorMatrix (5.2-1) |
Cohomology | SCCohomology (5.2-2) |
CohomologyBasis | SCCohomologyBasis (5.2-3) |
CohomologyBasisAsSimplices | SCCohomologyBasisAsSimplices (5.2-4) |
CollapseGreedy | SCCollapseGreedy (4.6-2) |
Cone | SCCone (4.6-3) |
ConnectedComponents | SCConnectedComponents (4.3-3) |
Copy | SCCopy (3.1-2) |
CupProduct | SCCupProduct (5.2-5) |
DeletedJoin | SCDeletedJoin (4.6-4) |
DetermineTopologicalType | SCLibDetermineTopologicalType (8.1-6) |
Difference | SCDifference (4.6-5) |
Dim | SCDim (4.5-5) |
DualGraph | SCDualGraph (4.5-6) |
Equivalent | SCEquivalent (6.2-2) |
ExportJavaView | SCExportJavaView (8.2-6) |
ExportLatexTable | SCExportLatexTable (8.2-5) |
ExportPolymake | SCExportPolymake (8.2-3) |
F | SCFVector (4.5-8) |
FaceLattice | SCFaceLattice (4.5-9) |
FaceLatticeEx | SCFaceLatticeEx (4.5-10) |
Faces | SCFaces (4.5-11) |
FacesEx | SCFacesEx (4.5-12) |
Facets | SCFacets (4.5-13) |
FacetsEx | SCFacetsEx (4.5-14) |
FpBetti | SCFpBettiNumbers (4.5-15) |
FundamentalGroup | SCFundamentalGroup (4.5-16) |
G | SCGVector (4.5-17) |
Generators | SCGenerators (4.5-18) |
GeneratorsEx | SCGeneratorsEx (4.5-19) |
H | SCHVector (4.5-20) |
HandleAddition | SCHandleAddition (4.6-6) |
HasBoundary | SCHasBoundary (4.5-21) |
HasInterior | SCHasInterior (4.5-22) |
Homology | SCHomology (4.5-23) |
HomologyBasis | SCHomologyBasis (5.1-3) |
HomologyBasisAsSimplices | SCHomologyBasisAsSimplices (5.1-4) |
HomologyInternal | SCHomologyInternal (5.1-5) |
Incidences | SCIncidences (4.5-24) |
IncidencesEx | SCIncidencesEx (4.5-25) |
Interior | SCInterior (4.5-26) |
Intersection | SCIntersection (4.6-7) |
IntersectionForm | SCIntersectionForm (5.2-6) |
IntersectionFormDimensionality | SCIntersectionFormDimensionality (5.2-8) |
IntersectionFormParity | SCIntersectionFormParity (5.2-7) |
IsCentrallySymmetric | SCIsCentrallySymmetric (4.5-27) |
IsConnected | SCIsConnected (4.5-28) |
IsEmpty | SCIsEmpty (4.5-29) |
IsEulerianManifold | SCIsEulerianManifold (4.5-30) |
IsHomologySphere | SCIsHomologySphere (4.5-31) |
IsInKd | SCIsInKd (4.5-32) |
IsIsomorphic | SCIsIsomorphic (4.6-8) |
IsKNeighborly | SCIsKNeighborly (4.5-33) |
IsKStackedSphere | SCIsKStackedSphere (6.2-5) |
IsManifold | SCIsManifold (6.2-6) |
IsMovable | SCIsMovableComplex (6.2-7) |
IsOrientable | SCIsOrientable (4.5-34) |
IsPM | SCIsPseudoManifold (4.5-35) |
IsPure | SCIsPure (4.5-36) |
IsShellable | SCIsShellable (4.5-37) |
IsStronglyConnected | SCIsStronglyConnected (4.5-38) |
IsSubcomplex | SCIsSubcomplex (4.6-9) |
Isomorphism | SCIsomorphism (4.6-10) |
IsomorphismEx | SCIsomorphismEx (4.6-11) |
Join | SCJoin (4.6-12) |
LabelMax | SCLabelMax (4.4-1) |
LabelMin | SCLabelMin (4.4-2) |
Labels | SCLabels (4.4-3) |
Link | SCLink (4.6-13) |
Links | SCLinks (4.6-14) |
Load | SCLoad (8.2-1) |
MinimalNonFaces | SCMinimalNonFaces (4.5-39) |
MinimalNonFacesEx | SCMinimalNonFacesEx (4.5-40) |
Move | SCMove (6.2-8) |
Moves | SCMoves (6.2-9) |
Name | SCName (4.5-41) |
Neighborliness | SCNeighborliness (4.5-42) |
Neighbors | SCNeighbors (4.6-15) |
NeighborsEx | SCNeighborsEx (4.6-16) |
NumFaces | SCNumFaces (4.5-43) |
Orientation | SCOrientation (4.5-44) |
RMoves | SCRMoves (6.2-10) |
Recalc | SCForceRecalc (3.1-4) |
Reduce | SCReduceComplex (6.2-12) |
ReduceAsSubcomplex | SCReduceAsSubcomplex (6.2-11) |
ReduceEx | SCReduceComplexEx (6.2-13) |
Relabel | SCRelabel (4.4-4) |
RelabelStandard | SCRelabelStandard (4.4-5) |
RelabelTransposition | SCRelabelTransposition (4.4-6) |
Rename | SCRename (4.4-7) |
Save | SCSave (8.2-2) |
Shelling | SCShelling (4.6-17) |
ShellingExt | SCShellingExt (4.6-18) |
Shellings | SCShellings (4.6-19) |
Skel | SCSkel (4.5-45) |
SkelEx | SCSkelEx (4.5-46) |
Slicing | SCNSSlicing (7.1-4) |
SortComplex | SCSortComplex (4.4-8) |
Span | SCSpan (4.6-20) |
SpanningTree | SCSpanningTree (4.5-47) |
Star | SCStar (4.6-21) |
Stars | SCStars (4.6-22) |
StronglyConnectedComponents | SCStronglyConnectedComponents (4.3-11) |
Suspension | SCSuspension (4.6-23) |
Union | SCUnion (4.6-24) |
UnlabelFace | SCUnlabelFace (4.4-9) |
VertexIdentification | SCVertexIdentification (4.6-25) |
Vertices | SCVertices (4.5-48) |
VerticesEx | SCVerticesEx (4.5-49) |
Wedge | SCWedge (4.6-26) |
SCNormalSurface
This section contains a table of all property handlers of a SCNormalSurface
object.
Property handler | Function called |
Betti | SCNSFpBettiNumbers |
Chi | SCNSEulerCharacteristic |
ConnComp | SCConnectedComponents |
Connected | SCIsConnected |
Copy | SCNSCopy |
Dim | SCNSDim |
F | SCNSFVector |
FaceLattice | SCNSFaceLattice |
Faces | SCNSSkel |
Facets | SCFacets |
Genus | SCNSGenus |
Homology | SCNSHomology |
IsEmpty | SCIsEmpty |
Labels | SCLabels |
Name | SCName |
Triangulation | SCNSSubdivision |
Type | SCNSTopologicalType |
Vertices | SCVertices |
generated by GAPDoc2HTML