As explained in Chapter 5, objects of the types SCSimplicialComplex, SCNormalSurface and SCLibRepository provide a set of property handlers for ease of access to simpcomp functions using these objects. Accessing these property handlers is possible via the .-operator.
For example, the \(f\)-vector of a simplicial complex c that is stored as a SCSimplicialComplex object can be accessed via the statement c.F; instead of writing the longer SCFVector(c);. See below for a list of all properties supported by objects of the types SCPolyhedralComplex, SCSimplicialComplex, SCNormalSurface and SCLibRepository (Note that the property handlers of SCPolyhedralComplex can be used by both SCSimplicialComplex and SCNormalSurface).
SCPolyhedralComplexThis section contains a table of all property handlers of a SCPolyhedralComplex object.
| Property handler | Function called |
| AntiStar | SCAntiStar (4.3-1) |
| Ast | SCAntiStar (4.3-1) |
| Facets | SCFacets (6.9-19) |
| FacetsEx | SCFacetsEx (6.9-20) |
| LabelMax | SCLabelMax (4.2-1) |
| LabelMin | SCLabelMin (4.2-2) |
| Labels | SCLabels (4.2-3) |
| Lk | SCLink (4.3-2) |
| Link | SCLink (4.3-2) |
| Links | SCLinks (4.3-3) |
| Lks | SCLinks (4.3-3) |
| Name | SCName (4.2-4) |
| Reference | SCReference (4.2-5) |
| Relabel | SCRelabel (4.2-6) |
| RelabelStandard | SCRelabelStandard (4.2-7) |
| RelabelTransposition | SCRelabelTransposition (4.2-8) |
| Rename | SCRename (4.2-9) |
| SetReference | SCSetReference (4.2-10) |
| Star | SCStar (4.3-4) |
| Str | SCStar (4.3-4) |
| Stars | SCStars (4.3-5) |
| Strs | SCStars (4.3-5) |
| UnlabelFace | SCUnlabelFace (4.2-11) |
| Vertices | SCVertices (4.1-3) |
| VerticesEx | SCVerticesEx (4.1-4) |
SCSimplicialComplexThis section contains a table of all property handlers of a SCSimplicialComplex object.
| Property handler | Function called |
| ASDet | SCAltshulerSteinberg (6.9-1) |
| AlexanderDual | SCAlexanderDual (6.10-1) |
| AutomorphismGroup | SCAutomorphismGroup (6.9-2) |
| AutomorphismGroupInternal | SCAutomorphismGroupInternal (6.9-3) |
| AutomorphismGroupSize | SCAutomorphismGroupSize (6.9-4) |
| AutomorphismGroupStructure | SCAutomorphismGroupStructure (6.9-5) |
| AutomorphismGroupTransitivity | SCAutomorphismGroupTransitivity (6.9-6) |
| Bd | SCBoundary (6.9-7) |
| Boundary | SCBoundary (6.9-7) |
| BoundaryOperatorMatrix | SCBoundaryOperatorMatrix (8.1-1) |
| Chi | SCEulerCharacteristic (7.3-3) |
| CoboundaryOperatorMatrix | SCCoboundaryOperatorMatrix (8.2-1) |
| Cohomology | SCCohomology (8.2-2) |
| CohomologyBasis | SCCohomologyBasis (8.2-3) |
| CohomologyBasisAsSimplices | SCCohomologyBasisAsSimplices (8.2-4) |
| CollapseGreedy | SCCollapseGreedy (12.1-1) |
| Cone | SCCone (6.10-3) |
| ConnectedComponents | SCConnectedComponents (7.3-1) |
| Copy | SCCopy (7.2-1) |
| CupProduct | SCCupProduct (8.2-5) |
| DehnSommervilleCheck | SCDehnSommervilleCheck (6.9-8) |
| DeletedJoin | SCDeletedJoin (6.10-4) |
| DetermineTopologicalType | SCLibDetermineTopologicalType (13.1-6) |
| Difference | SCDifference (6.10-5) |
| DifferenceCycles | SCDifferenceCycles (6.9-10) |
| Dim | SCDim (7.3-2) |
| DualGraph | SCDualGraph (6.9-12) |
| Equivalent | SCEquivalent (9.2-2) |
| EulerCharacteristic | SCEulerCharacteristic (7.3-3) |
| ExportJavaView | SCExportJavaView (13.2-9) |
| ExportLatexTable | SCExportLatexTable (13.2-8) |
| ExportPolymake | SCExportPolymake (13.2-6) |
| F | SCFVector (7.3-4) |
| FaceLattice | SCFaceLattice (7.3-5) |
| FaceLatticeEx | SCFaceLatticeEx (7.3-6) |
| Faces | SCFaces (6.9-17) |
| FacesEx | SCFacesEx (6.9-18) |
| FillSphere | SCFillSphere (6.10-6) |
| FpBetti | SCFpBettiNumbers (7.3-7) |
| FundamentalGroup | SCFundamentalGroup (6.9-22) |
| G | SCGVector (6.9-23) |
| Generators | SCGenerators (6.9-24) |
| GeneratorsEx | SCGeneratorsEx (6.9-25) |
| H | SCHVector (6.9-26) |
| HandleAddition | SCHandleAddition (6.10-7) |
| HasBd | SCHasBoundary (6.9-27) |
| HasBoundary | SCHasBoundary (6.9-27) |
| HasInt | SCHasInterior (6.9-28) |
| HasInterior | SCHasInterior (6.9-28) |
| HasseDiagram | SCHasseDiagram (12.1-4) |
| Homology | SCHomology (12.1-12) |
| HomologyBasis | SCHomologyBasis (8.1-3) |
| HomologyBasisAsSimplices | SCHomologyBasisAsSimplices (8.1-4) |
| HomologyInternal | SCHomologyInternal (8.1-5) |
| Incidences | SCIncidences (6.9-32) |
| IncidencesEx | SCIncidencesEx (6.9-33) |
| Interior | SCInterior (6.9-34) |
| Intersection | SCIntersection (6.10-8) |
| IntersectionForm | SCIntersectionForm (8.2-6) |
| IntersectionFormDimensionality | SCIntersectionFormDimensionality (8.2-8) |
| IntersectionFormParity | SCIntersectionFormParity (8.2-7) |
| IntersectionFormSignature | SCIntersectionFormSignature (8.2-9) |
| IsCentrallySymmetric | SCIsCentrallySymmetric (6.9-35) |
| IsConnected | SCIsConnected (7.3-10) |
| IsEmpty | SCIsEmpty (7.3-11) |
| IsEulerianManifold | SCIsEulerianManifold (6.9-38) |
| IsFlag | SCIsFlag (6.9-39) |
| IsHomologySphere | SCIsHomologySphere (6.9-41) |
| IsInKd | SCIsInKd (6.9-42) |
| IsIsomorphic | SCIsIsomorphic (6.10-9) |
| IsKNeighborly | SCIsKNeighborly (6.9-43) |
| IsKStackedSphere | SCIsKStackedSphere (9.2-5) |
| IsManifold | SCIsManifold (12.1-17) |
| IsMovable | SCIsMovableComplex (9.2-7) |
| Isomorphism | SCIsomorphism (6.10-11) |
| IsomorphismEx | SCIsomorphismEx (6.10-12) |
| IsOrientable | SCIsOrientable (7.3-12) |
| IsPM | SCIsPseudoManifold (6.9-45) |
| IsPure | SCIsPure (6.9-46) |
| IsSC | SCIsSimplyConnected (12.1-14) |
| IsSimplyConnected | SCIsSimplyConnected (12.1-14) |
| IsShellable | SCIsShellable (6.9-47) |
| IsSphere | SCIsSphere (12.1-16) |
| IsStronglyConnected | SCIsStronglyConnected (6.9-48) |
| IsSubcomplex | SCIsSubcomplex (6.10-10) |
| IsTight | SCIsTight (11.1-1) |
| Join | SCJoin (6.10-13) |
| Load | SCLoad (13.2-1) |
| MinimalNonFaces | SCMinimalNonFaces (6.9-49) |
| MinimalNonFacesEx | SCMinimalNonFacesEx (6.9-50) |
| MorseIsPerfect | SCMorseIsPerfect (11.1-2) |
| MorseMultiplicityVector | SCMorseMultiplicityVector (11.1-4) |
| MorseNumberOfCriticalPoints | SCMorseNumberOfCriticalPoints (11.1-5) |
| Move | SCMove (9.2-8) |
| Moves | SCMoves (9.2-9) |
| Neighborliness | SCNeighborliness (6.9-51) |
| Neighbors | SCNeighbors (6.10-14) |
| NeighborsEx | SCNeighborsEx (6.10-15) |
| NumFaces | SCNumFaces (6.9-52) |
| Orientation | SCOrientation (6.9-53) |
| PropertiesDropped | SCPropertiesDropped (5.1-5) |
| Randomize | SCRandomize (9.2-11) |
| RMoves | SCRMoves (9.2-10) |
| Reduce | SCReduceComplex (9.2-13) |
| ReduceAsSubcomplex | SCReduceAsSubcomplex (9.2-12) |
| ReduceEx | SCReduceComplexEx (9.2-14) |
| Save | SCSave (13.2-3) |
| Details | SCDetails (5.1-2) |
| Shelling | SCShelling (6.10-16) |
| ShellingExt | SCShellingExt (6.10-17) |
| Shellings | SCShellings (6.10-18) |
| Skel | SCSkel (7.3-13) |
| SkelEx | SCSkelEx (7.3-14) |
| Slicing | SCSlicing (11.1-3), SCNSSlicing (7.1-4) |
| Span | SCSpan (6.10-19) |
| SpanningTree | SCSpanningTree (6.9-56) |
| StronglyConnectedComponents | SCStronglyConnectedComponents (6.6-9) |
| Suspension | SCSuspension (6.10-20) |
| Transitivity | SCAutomorphismGroupTransitivity (6.9-6) |
| Union | SCUnion (7.3-16) |
| VertexIdentification | SCVertexIdentification (6.10-22) |
| Wedge | SCWedge (6.10-23) |
SCNormalSurfaceThis section contains a table of all property handlers of a SCNormalSurface object.
| Property handler | Function called |
| Betti | SCFpBettiNumbers (7.3-7) |
| ConnectedComponents | SCConnectedComponents (7.3-1) |
| FpBettiNumbers | SCFpBettiNumbers (7.3-7) |
| Chi | SCEulerCharacteristic (7.3-3) |
| EulerCharacteristic | SCEulerCharacteristic (7.3-3) |
| Connected | SCIsConnected (7.3-10) |
| IsConnected | SCIsConnected (7.3-10) |
| Copy | SCCopy (7.2-1) |
| D | SCDim (7.3-2) |
| Dim | SCDim (7.3-2) |
| F | SCFVector (7.3-4) |
| FVector | SCFVector (7.3-4) |
| FaceLattice | SCFaceLattice (7.3-5) |
| Faces | SCSkel (7.3-13) |
| Genus | SCGenus (7.3-8) |
| Homology | SCHomology (12.1-12) |
| IsEmpty | SCIsEmpty (7.3-11) |
| Name | SCName (4.2-4) |
| Triangulation | SCNSTriangulation (7.2-2) |
| TopologicalType | SCTopologicalType (7.3-15) |
SCLibRepositoryThis section contains a table of all property handlers of a SCLibRepository object.
| Property handler | Function called |
| Update | SCLibUpdate (13.1-13) |
| IsLoaded | SCLibIsLoaded (13.1-9) |
| Size | SCLibSize (13.1-12) |
| Status | SCLibStatus (13.1-14) |
| Flush | SCLibFlush (13.1-7) |
| Add | SCLibAdd (13.1-3) |
| Delete | SCLibDelete (13.1-5) |
| All | SCLibAllComplexes (13.1-4) |
| SearchByName | SCLibSearchByName (13.1-11) |
| SearchByAttribute | SCLibSearchByAttribute (13.1-10) |
| DetermineTopologicalType | SCLibDetermineTopologicalType (13.1-6) |
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