  
  [1X16 [33X[0;0YProperty handlers[133X[101X
  
  [33X[0;0YAs  explained  in  Chapter  [14X5[114X,  objects  of  the  types [10XSCSimplicialComplex[110X,
  [10XSCNormalSurface[110X  and  [10XSCLibRepository[110X provide a set of property handlers for
  ease  of  access  to [5Xsimpcomp[105X functions using these objects. Accessing these
  property handlers is possible via the .-operator.[133X
  
  [33X[0;0YFor  example,  the  [22Xf[122X-vector  of  a simplicial complex [10Xc[110X that is stored as a
  [10XSCSimplicialComplex[110X object can be accessed via the statement [10Xc.F;[110X instead of
  writing  the  longer  [10XSCFVector(c);[110X.  See below for a list of all properties
  supported  by objects of the types [10XSCPolyhedralComplex[110X, [10XSCSimplicialComplex[110X,
  [10XSCNormalSurface[110X  and  [10XSCLibRepository[110X  (Note  that  the property handlers of
  [10XSCPolyhedralComplex[110X   can   be   used   by   both   [10XSCSimplicialComplex[110X  and
  [10XSCNormalSurface[110X).[133X
  
  
  [1X16.1 [33X[0;0YProperty handlers of [10XSCPolyhedralComplex[110X[101X[1X[133X[101X
  
  [33X[0;0YThis   section   contains   a   table   of   all   property  handlers  of  a
  [10XSCPolyhedralComplex[110X object.[133X
  
        [12XProperty handler[112X     [12XFunction called[112X                
        ────────────────────   ──────────────────────────────  
                                                                
        AntiStar               [2XSCAntiStar[102X ([14X4.3-1[114X)               
        Ast                    [2XSCAntiStar[102X ([14X4.3-1[114X)               
        Facets                 [2XSCFacets[102X ([14X6.9-19[114X)                
        FacetsEx               [2XSCFacetsEx[102X ([14X6.9-20[114X)              
        LabelMax               [2XSCLabelMax[102X ([14X4.2-1[114X)               
        LabelMin               [2XSCLabelMin[102X ([14X4.2-2[114X)               
        Labels                 [2XSCLabels[102X ([14X4.2-3[114X)                 
        Lk                     [2XSCLink[102X ([14X4.3-2[114X)                   
        Link                   [2XSCLink[102X ([14X4.3-2[114X)                   
        Links                  [2XSCLinks[102X ([14X4.3-3[114X)                  
        Lks                    [2XSCLinks[102X ([14X4.3-3[114X)                  
        Name                   [2XSCName[102X ([14X4.2-4[114X)                   
        Reference              [2XSCReference[102X ([14X4.2-5[114X)              
        Relabel                [2XSCRelabel[102X ([14X4.2-6[114X)                
        RelabelStandard        [2XSCRelabelStandard[102X ([14X4.2-7[114X)        
        RelabelTransposition   [2XSCRelabelTransposition[102X ([14X4.2-8[114X)   
        Rename                 [2XSCRename[102X ([14X4.2-9[114X)                 
        SetReference           [2XSCSetReference[102X ([14X4.2-10[114X)          
  
        Star          [2XSCStar[102X ([14X4.3-4[114X)           
        Str           [2XSCStar[102X ([14X4.3-4[114X)           
        Stars         [2XSCStars[102X ([14X4.3-5[114X)          
        Strs          [2XSCStars[102X ([14X4.3-5[114X)          
        UnlabelFace   [2XSCUnlabelFace[102X ([14X4.2-11[114X)   
        Vertices      [2XSCVertices[102X ([14X4.1-3[114X)       
        VerticesEx    [2XSCVerticesEx[102X ([14X4.1-4[114X)     
  
  
  [1X16.2 [33X[0;0YProperty handlers of [10XSCSimplicialComplex[110X[101X[1X[133X[101X
  
  [33X[0;0YThis   section   contains   a   table   of   all   property  handlers  of  a
  [10XSCSimplicialComplex[110X object.[133X
  
        [12XProperty handler[112X              [12XFunction called[112X                         
        ─────────────────────────────   ───────────────────────────────────────  
                                                                                  
        ASDet                           [2XSCAltshulerSteinberg[102X ([14X6.9-1[114X)              
        AlexanderDual                   [2XSCAlexanderDual[102X ([14X6.10-1[114X)                  
        AutomorphismGroup               [2XSCAutomorphismGroup[102X ([14X6.9-2[114X)               
        AutomorphismGroupInternal       [2XSCAutomorphismGroupInternal[102X ([14X6.9-3[114X)       
        AutomorphismGroupSize           [2XSCAutomorphismGroupSize[102X ([14X6.9-4[114X)           
        AutomorphismGroupStructure      [2XSCAutomorphismGroupStructure[102X ([14X6.9-5[114X)      
        AutomorphismGroupTransitivity   [2XSCAutomorphismGroupTransitivity[102X ([14X6.9-6[114X)   
        Bd                              [2XSCBoundary[102X ([14X6.9-7[114X)                        
        Boundary                        [2XSCBoundary[102X ([14X6.9-7[114X)                        
        BoundaryOperatorMatrix          [2XSCBoundaryOperatorMatrix[102X ([14X8.1-1[114X)          
        Chi                             [2XSCEulerCharacteristic[102X ([14X7.3-3[114X)             
        CoboundaryOperatorMatrix        [2XSCCoboundaryOperatorMatrix[102X ([14X8.2-1[114X)        
        Cohomology                      [2XSCCohomology[102X ([14X8.2-2[114X)                      
        CohomologyBasis                 [2XSCCohomologyBasis[102X ([14X8.2-3[114X)                 
        CohomologyBasisAsSimplices      [2XSCCohomologyBasisAsSimplices[102X ([14X8.2-4[114X)      
        CollapseGreedy                  [2XSCCollapseGreedy[102X ([14X12.1-1[114X)                 
        Cone                            [2XSCCone[102X ([14X6.10-3[114X)                           
        ConnectedComponents             [2XSCConnectedComponents[102X ([14X7.3-1[114X)             
        Copy                            [2XSCCopy[102X ([14X7.2-1[114X)                            
        CupProduct                      [2XSCCupProduct[102X ([14X8.2-5[114X)                      
        DehnSommervilleCheck            [2XSCDehnSommervilleCheck[102X ([14X6.9-8[114X)            
        DeletedJoin                     [2XSCDeletedJoin[102X ([14X6.10-4[114X)                    
        DetermineTopologicalType        [2XSCLibDetermineTopologicalType[102X ([14X13.1-6[114X)    
        Difference                      [2XSCDifference[102X ([14X6.10-5[114X)                     
        DifferenceCycles                [2XSCDifferenceCycles[102X ([14X6.9-10[114X)               
        Dim                             [2XSCDim[102X ([14X7.3-2[114X)                             
        DualGraph                       [2XSCDualGraph[102X ([14X6.9-12[114X)                      
        Equivalent                      [2XSCEquivalent[102X ([14X9.2-2[114X)                      
        EulerCharacteristic             [2XSCEulerCharacteristic[102X ([14X7.3-3[114X)             
        ExportJavaView                  [2XSCExportJavaView[102X ([14X13.2-9[114X)                 
        ExportLatexTable                [2XSCExportLatexTable[102X ([14X13.2-8[114X)               
        ExportPolymake                  [2XSCExportPolymake[102X ([14X13.2-6[114X)                 
  
        F                                [2XSCFVector[102X ([14X7.3-4[114X)                          
        FaceLattice                      [2XSCFaceLattice[102X ([14X7.3-5[114X)                      
        FaceLatticeEx                    [2XSCFaceLatticeEx[102X ([14X7.3-6[114X)                    
        Faces                            [2XSCFaces[102X ([14X6.9-17[114X)                           
        FacesEx                          [2XSCFacesEx[102X ([14X6.9-18[114X)                         
        FillSphere                       [2XSCFillSphere[102X ([14X6.10-6[114X)                      
        FpBetti                          [2XSCFpBettiNumbers[102X ([14X7.3-7[114X)                   
        FundamentalGroup                 [2XSCFundamentalGroup[102X ([14X6.9-22[114X)                
        G                                [2XSCGVector[102X ([14X6.9-23[114X)                         
        Generators                       [2XSCGenerators[102X ([14X6.9-24[114X)                      
        GeneratorsEx                     [2XSCGeneratorsEx[102X ([14X6.9-25[114X)                    
        H                                [2XSCHVector[102X ([14X6.9-26[114X)                         
        HandleAddition                   [2XSCHandleAddition[102X ([14X6.10-7[114X)                  
        HasBd                            [2XSCHasBoundary[102X ([14X6.9-27[114X)                     
        HasBoundary                      [2XSCHasBoundary[102X ([14X6.9-27[114X)                     
        HasInt                           [2XSCHasInterior[102X ([14X6.9-28[114X)                     
        HasInterior                      [2XSCHasInterior[102X ([14X6.9-28[114X)                     
        HasseDiagram                     [2XSCHasseDiagram[102X ([14X12.1-4[114X)                    
        Homology                         [2XSCHomology[102X ([14X12.1-12[114X)                       
        HomologyBasis                    [2XSCHomologyBasis[102X ([14X8.1-3[114X)                    
        HomologyBasisAsSimplices         [2XSCHomologyBasisAsSimplices[102X ([14X8.1-4[114X)         
        HomologyInternal                 [2XSCHomologyInternal[102X ([14X8.1-5[114X)                 
        Incidences                       [2XSCIncidences[102X ([14X6.9-32[114X)                      
        IncidencesEx                     [2XSCIncidencesEx[102X ([14X6.9-33[114X)                    
        Interior                         [2XSCInterior[102X ([14X6.9-34[114X)                        
        Intersection                     [2XSCIntersection[102X ([14X6.10-8[114X)                    
        IntersectionForm                 [2XSCIntersectionForm[102X ([14X8.2-6[114X)                 
        IntersectionFormDimensionality   [2XSCIntersectionFormDimensionality[102X ([14X8.2-8[114X)   
        IntersectionFormParity           [2XSCIntersectionFormParity[102X ([14X8.2-7[114X)           
        IntersectionFormSignature        [2XSCIntersectionFormSignature[102X ([14X8.2-9[114X)        
        IsCentrallySymmetric             [2XSCIsCentrallySymmetric[102X ([14X6.9-35[114X)            
        IsConnected                      [2XSCIsConnected[102X ([14X7.3-10[114X)                     
        IsEmpty                          [2XSCIsEmpty[102X ([14X7.3-11[114X)                         
        IsEulerianManifold               [2XSCIsEulerianManifold[102X ([14X6.9-38[114X)              
        IsFlag                           [2XSCIsFlag[102X ([14X6.9-39[114X)                          
        IsHomologySphere                 [2XSCIsHomologySphere[102X ([14X6.9-41[114X)                
        IsInKd                           [2XSCIsInKd[102X ([14X6.9-42[114X)                          
        IsIsomorphic                     [2XSCIsIsomorphic[102X ([14X6.10-9[114X)                    
        IsKNeighborly                    [2XSCIsKNeighborly[102X ([14X6.9-43[114X)                   
        IsKStackedSphere                 [2XSCIsKStackedSphere[102X ([14X9.2-5[114X)                 
  
        IsManifold                    [2XSCIsManifold[102X ([14X12.1-17[114X)                    
        IsMovable                     [2XSCIsMovableComplex[102X ([14X9.2-7[114X)                
        Isomorphism                   [2XSCIsomorphism[102X ([14X6.10-11[114X)                   
        IsomorphismEx                 [2XSCIsomorphismEx[102X ([14X6.10-12[114X)                 
        IsOrientable                  [2XSCIsOrientable[102X ([14X7.3-12[114X)                   
        IsPM                          [2XSCIsPseudoManifold[102X ([14X6.9-45[114X)               
        IsPure                        [2XSCIsPure[102X ([14X6.9-46[114X)                         
        IsSC                          [2XSCIsSimplyConnected[102X ([14X12.1-14[114X)             
        IsSimplyConnected             [2XSCIsSimplyConnected[102X ([14X12.1-14[114X)             
        IsShellable                   [2XSCIsShellable[102X ([14X6.9-47[114X)                    
        IsSphere                      [2XSCIsSphere[102X ([14X12.1-16[114X)                      
        IsStronglyConnected           [2XSCIsStronglyConnected[102X ([14X6.9-48[114X)            
        IsSubcomplex                  [2XSCIsSubcomplex[102X ([14X6.10-10[114X)                  
        IsTight                       [2XSCIsTight[102X ([14X11.1-1[114X)                        
        Join                          [2XSCJoin[102X ([14X6.10-13[114X)                          
        Load                          [2XSCLoad[102X ([14X13.2-1[114X)                           
        MinimalNonFaces               [2XSCMinimalNonFaces[102X ([14X6.9-49[114X)                
        MinimalNonFacesEx             [2XSCMinimalNonFacesEx[102X ([14X6.9-50[114X)              
        MorseIsPerfect                [2XSCMorseIsPerfect[102X ([14X11.1-2[114X)                 
        MorseMultiplicityVector       [2XSCMorseMultiplicityVector[102X ([14X11.1-4[114X)        
        MorseNumberOfCriticalPoints   [2XSCMorseNumberOfCriticalPoints[102X ([14X11.1-5[114X)    
        Move                          [2XSCMove[102X ([14X9.2-8[114X)                            
        Moves                         [2XSCMoves[102X ([14X9.2-9[114X)                           
        Neighborliness                [2XSCNeighborliness[102X ([14X6.9-51[114X)                 
        Neighbors                     [2XSCNeighbors[102X ([14X6.10-14[114X)                     
        NeighborsEx                   [2XSCNeighborsEx[102X ([14X6.10-15[114X)                   
        NumFaces                      [2XSCNumFaces[102X ([14X6.9-52[114X)                       
        Orientation                   [2XSCOrientation[102X ([14X6.9-53[114X)                    
        PropertiesDropped             [2XSCPropertiesDropped[102X ([14X5.1-5[114X)               
        Randomize                     [2XSCRandomize[102X ([14X9.2-11[114X)                      
        RMoves                        [2XSCRMoves[102X ([14X9.2-10[114X)                         
        Reduce                        [2XSCReduceComplex[102X ([14X9.2-13[114X)                  
        ReduceAsSubcomplex            [2XSCReduceAsSubcomplex[102X ([14X9.2-12[114X)             
        ReduceEx                      [2XSCReduceComplexEx[102X ([14X9.2-14[114X)                
        Save                          [2XSCSave[102X ([14X13.2-3[114X)                           
        Details                       [2XSCDetails[102X ([14X5.1-2[114X)                         
        Shelling                      [2XSCShelling[102X ([14X6.10-16[114X)                      
        ShellingExt                   [2XSCShellingExt[102X ([14X6.10-17[114X)                   
        Shellings                     [2XSCShellings[102X ([14X6.10-18[114X)                     
        Skel                          [2XSCSkel[102X ([14X7.3-13[114X)                           
        SkelEx                        [2XSCSkelEx[102X ([14X7.3-14[114X)                         
        Slicing                       [2XSCSlicing[102X ([14X11.1-3[114X), [2XSCNSSlicing[102X ([14X7.1-4[114X)   
        Span                          [2XSCSpan[102X ([14X6.10-19[114X)                          
        SpanningTree                  [2XSCSpanningTree[102X ([14X6.9-56[114X)                   
        StronglyConnectedComponents   [2XSCStronglyConnectedComponents[102X ([14X6.6-9[114X)     
        Suspension                    [2XSCSuspension[102X ([14X6.10-20[114X)                    
        Transitivity                  [2XSCAutomorphismGroupTransitivity[102X ([14X6.9-6[114X)   
        Union                         [2XSCUnion[102X ([14X7.3-16[114X)                          
        VertexIdentification          [2XSCVertexIdentification[102X ([14X6.10-22[114X)          
        Wedge                         [2XSCWedge[102X ([14X6.10-23[114X)                         
  
  
  [1X16.3 [33X[0;0YProperty handlers of [10XSCNormalSurface[110X[101X[1X[133X[101X
  
  [33X[0;0YThis  section contains a table of all property handlers of a [10XSCNormalSurface[110X
  object.[133X
  
        [12XProperty handler[112X    [12XFunction called[112X               
        ───────────────────   ─────────────────────────────  
                                                              
        Betti                 [2XSCFpBettiNumbers[102X ([14X7.3-7[114X)        
        ConnectedComponents   [2XSCConnectedComponents[102X ([14X7.3-1[114X)   
        FpBettiNumbers        [2XSCFpBettiNumbers[102X ([14X7.3-7[114X)        
        Chi                   [2XSCEulerCharacteristic[102X ([14X7.3-3[114X)   
        EulerCharacteristic   [2XSCEulerCharacteristic[102X ([14X7.3-3[114X)   
        Connected             [2XSCIsConnected[102X ([14X7.3-10[114X)          
        IsConnected           [2XSCIsConnected[102X ([14X7.3-10[114X)          
        Copy                  [2XSCCopy[102X ([14X7.2-1[114X)                  
        D                     [2XSCDim[102X ([14X7.3-2[114X)                   
        Dim                   [2XSCDim[102X ([14X7.3-2[114X)                   
        F                     [2XSCFVector[102X ([14X7.3-4[114X)               
        FVector               [2XSCFVector[102X ([14X7.3-4[114X)               
        FaceLattice           [2XSCFaceLattice[102X ([14X7.3-5[114X)           
        Faces                 [2XSCSkel[102X ([14X7.3-13[114X)                 
        Genus                 [2XSCGenus[102X ([14X7.3-8[114X)                 
        Homology              [2XSCHomology[102X ([14X12.1-12[114X)            
        IsEmpty               [2XSCIsEmpty[102X ([14X7.3-11[114X)              
        Name                  [2XSCName[102X ([14X4.2-4[114X)                  
        Triangulation         [2XSCNSTriangulation[102X ([14X7.2-2[114X)       
        TopologicalType       [2XSCTopologicalType[102X ([14X7.3-15[114X)      
  
  
  [1X16.4 [33X[0;0YProperty handlers of [10XSCLibRepository[110X[101X[1X[133X[101X
  
  [33X[0;0YThis  section contains a table of all property handlers of a [10XSCLibRepository[110X
  object.[133X
  
        [12XProperty handler[112X         [12XFunction called[112X                        
        ────────────────────────   ──────────────────────────────────────  
                                                                            
        Update                     [2XSCLibUpdate[102X ([14X13.1-13[114X)                    
        IsLoaded                   [2XSCLibIsLoaded[102X ([14X13.1-9[114X)                   
        Size                       [2XSCLibSize[102X ([14X13.1-12[114X)                      
        Status                     [2XSCLibStatus[102X ([14X13.1-14[114X)                    
        Flush                      [2XSCLibFlush[102X ([14X13.1-7[114X)                      
        Add                        [2XSCLibAdd[102X ([14X13.1-3[114X)                        
        Delete                     [2XSCLibDelete[102X ([14X13.1-5[114X)                     
        All                        [2XSCLibAllComplexes[102X ([14X13.1-4[114X)               
        SearchByName               [2XSCLibSearchByName[102X ([14X13.1-11[114X)              
        SearchByAttribute          [2XSCLibSearchByAttribute[102X ([14X13.1-10[114X)         
        DetermineTopologicalType   [2XSCLibDetermineTopologicalType[102X ([14X13.1-6[114X)   
  
