Here is the list of all concepts and classes of the CGAL Library. Classes are inside the namespace CGAL. Concepts are in the global namespace.

CAABBGeomTraits_2
CAABBGeomTraits_3
CAABBPrimitive
CAABBPrimitiveWithSharedData
CAABBRayIntersectionGeomTraits_2
CAABBRayIntersectionGeomTraits_3
CAABBRayIntersectionTraits
CAABBTraits
CAdaptableBinaryFunction	Adaptable functor with two arguments
CAdaptableFunctor	The concept `AdaptableFunctor` defines an adaptable functor, that is, a functor that can be used with function object adaptors such as binders and composers
CAdaptableQuaternaryFunction	Adaptable functor with four arguments
CAdaptableQuinaryFunction	Adaptable functor with five arguments
CAdaptableTernaryFunction	Adaptable functor with three arguments
CAdaptableUnaryFunction	Adaptable functor with one argument
CAdaptationPolicy_2
CAdaptationTraits_2
CAdjacencyGraph	Concept from the Boost Graph Library
CAdjacencyMatrix	Concept from the Boost Graph Library
CAdvancingFrontSurfaceReconstructionTraits_3
CAlgebraicKernel_d_1
CAlgebraicKernel_d_2
CAlgebraicKernelForCircles
CAlgebraicKernelForSpheres
CAlgebraicStructureTraits
CAllFurthestNeighborsTraits_2
CAlphaShapeCell_3
CAlphaShapeFace_2
CAlphaShapeTraits_2
CAlphaShapeTraits_3
CAlphaShapeVertex_2
CAlphaShapeVertex_3
CAnalyticWeightTraits_2
CAnalyticWeightTraits_3
CApolloniusGraphDataStructure_2
CApolloniusGraphHierarchyVertexBase_2
CApolloniusGraphTraits_2
CApolloniusGraphVertexBase_2
CApolloniusSite_2
CApproximateMinEllipsoid_d_Traits_d
CArrangementApproximateTraits_2
CArrangementBasicTopologyTraits
CArrangementBasicTraits_2
CArrangementBottomSideTraits_2
CArrangementClosedBottomTraits_2
CArrangementClosedLeftTraits_2
CArrangementClosedRightTraits_2
CArrangementClosedTopTraits_2
CArrangementConstructCurveTraits_2
CArrangementConstructXMonotoneCurveTraits_2
CArrangementContractedBottomTraits_2
CArrangementContractedLeftTraits_2
CArrangementContractedRightTraits_2
CArrangementContractedTopTraits_2
CArrangementDcel
CArrangementDcelFace
CArrangementDcelHalfedge
CArrangementDcelInnerCcb
CArrangementDcelIsolatedVertex
CArrangementDcelOuterCcb
CArrangementDcelVertex
CArrangementDcelWithRebind
CArrangementDirectionalXMonotoneTraits_2
CArrangementHorizontalSideTraits_2
CArrangementIdentifiedHorizontalTraits_2
CArrangementIdentifiedVerticalTraits_2
CArrangementInputFormatter
CArrangementLandmarkTraits_2
CArrangementLeftSideTraits_2
CArrangementOpenBottomTraits_2
CArrangementOpenBoundaryTraits_2
CArrangementOpenLeftTraits_2
CArrangementOpenRightTraits_2
CArrangementOpenTopTraits_2
CArrangementOutputFormatter
CArrangementPointLocation_2
CArrangementRightSideTraits_2
CArrangementSphericalBoundaryTraits_2
CArrangementTopologyTraits
CArrangementTopSideTraits_2
CArrangementTraits_2
CArrangementVerticalRayShoot_2
CArrangementVerticalSideTraits_2
CArrangementWithHistoryInputFormatter
CArrangementWithHistoryOutputFormatter
CArrangementXMonotoneTraits_2
CAssignable	This concept refines both `CopyAssignable` and `CopyConstructible`
CAssociativeContainer	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/AssociativeContainer
CBackInsertionSequence	This container concepts refines `SequenceContainer` and has the ability to append elements at the end of the sequence and to access the last element, both in amortized constant time
CBarycentricWeights_2
CBasicMatrix
CBidirectionalCirculator
CBidirectionalGraph	Concept from the Boost Graph Library
CBidirectionalIterator	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/BidirectionalIterator
CBisectionGeometricTraits_3
CBoxIntersectionBox_d
CBoxIntersectionTraits_d
CCallable	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/Callable
CCastingTraits_2
CCellAttribute
CCellAttributeWithPoint
CCircle
CCircularKernel
CCirculator
CCollectionPartitioningOrthtreeTraits
CCombinationElement
CCombinatorialMap
CConformingDelaunayTriangulationTraits_2
CConstHandle
CConstrainedDelaunayTriangulationTraits_2
CConstrainedTriangulationFaceBase_2
CConstrainedTriangulationTraits_2
CConstRange
CContainer	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/Container
CConvexHullTraits_2
CConvexHullTraits_3
CConvexHullTraits_d
CConvexPartitionIsValidTraits_2
CCopyAssignable	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/CopyAssignable
CCopyConstructible	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/CopyConstructible
CDataKernel
CDefaultConstructible	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/DefaultConstructible
CDeformationClosestRotationTraits_3
CDelaunayGraph_2
CDelaunayLiftedTraits_d
CDelaunayMeshFaceBase_2
CDelaunayMeshTraits_2
CDelaunayMeshVertexBase_2
CDelaunayTraits_d
CDelaunayTriangulationCellBase_3
CDelaunayTriangulationOnSphereTraits_2
CDelaunayTriangulationTraits
CDelaunayTriangulationTraits_2
CDelaunayTriangulationTraits_3
CDescriptor
CDiagonalizeTraits
CDQQMask_3
CEdgeCollapseSimplificationVisitor
CEdgeListGraph
CEfficientRANSACTraits
CEllipse
CEnvelopeDiagram_1
CEnvelopeDiagramEdge
CEnvelopeDiagramVertex
CEnvelopeTraits_3
CEqualityComparable	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/EqualityComparable
CErrorMetricProxy
CEuclideanRing
CExplicitInteroperable
CExtendedKernelTraits_2
CExtremalPolygonTraits_2
CFaceGraph
CFaceListGraph
CField
CFieldNumberType
CFieldWithKthRoot
CFieldWithRootOf
CFieldWithSqrt
CFixedAlphaShapeCell_3
CFixedAlphaShapeTraits_3
CFixedAlphaShapeVertex_3
CFixedWeightedAlphaShapeTraits_3
CForwardCirculator
CForwardIterator	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/ForwardIterator
CForwardRange	See https://www.boost.org/libs/range/doc/html/range/concepts/forward_range.html
CFraction
CFractionTraits
CFromDoubleConstructible
CFromIntConstructible
CFullCellData
CFuzzyQueryItem
CGeneralDistance
CGeneralizedMap
CGeneralPolygon_2
CGeneralPolygonSetDcel
CGeneralPolygonSetDcelFace
CGeneralPolygonSetDcelHalfedge
CGeneralPolygonSetTraits_2
CGeneralPolygonWithHoles_2
CGenericMap
CGenericMapItems
CGetCost
CGetPlacement
CGpsTraitsGeneralPolygon_2
CGpsTraitsGeneralPolygonWithHoles_2
CGradientFittingTraits
CGraphicsSceneOptions
CGraphicsSceneOptionsPeriodic2Triangulation2
CGraphicsSceneOptionsPolygonSet2
CGraphicsSceneOptionsVoronoiDiagram2
CGraphicsSceneOptionsWithVolumes
CHalfedgeDS
CHalfedgeDSFace
CHalfedgeDSHalfedge
CHalfedgeDSItems
CHalfedgeDSVertex
CHalfedgeGraph
CHalfedgeListGraph
CHandle
CHashable
CHeatMethodTraits_3
CHyperbolicDelaunayTriangulationTraits_2
CHyperbolicFaceData
CHyperbolicTriangulationFaceBase_2
CImplicitFunction
CImplicitInteroperable
CImplicitSurfaceTraits_3
CIncidenceGraph	Concept from the Boost Graph Library
CIndex
CInputIterator	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/InputIterator
CIntegralDomain
CIntegralDomainWithoutDivision
CIntegrator_2
CInterpolationTraits
CIntersectionGeometricTraits_3
CInterval
CIsStronglyConvexTraits_3
CIsYMonotoneTraits_2
CIterator	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/Iterator
CKernel
CKernel_d
CKernelWithLifting_d
CKineticLCCFaceAttribute
CKineticLCCItems
CKineticLCCVolumeAttribute
CKineticSpacePartitionTraits_3
CLargestEmptyIsoRectangleTraits_2
Cleda_bigfloat
Cleda_integer
Cleda_rational
Cleda_real
CLessThanComparable	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/LessThanComparable
CLinearAlgebraTraits_d
CLinearCellComplex
CLinearCellComplexItems
CLinearCellComplexTraits
CLinearProgram
CLinearProgramTraits
CLocalKernel
CLvaluePropertyMap	See https://www.boost.org/libs/property_map/doc/LvaluePropertyMap.html
CMatrix
CMeanCurvatureSkeletonizationTraits
CMeshCellBase_3
CMeshCellCriteria_3
CMeshComplex_3InTriangulation_3
CMeshComplexWithFeatures_3InTriangulation_3
CMeshCriteria_3
CMeshCriteriaWithFeatures_3
CMeshDomain_3
CMeshDomainField_3
CMeshDomainWithFeatures_3
CMeshEdgeCriteria_3
CMeshFacetCriteria_3
CMeshingCriteria_2
CMeshPolyline_3
CMeshTriangulationTraits_3
CMeshVertexBase_3
CMinCircle2Traits
CMinEllipse2Traits
CMinQuadrilateralTraits_2
CMinSphereAnnulusDTraits
CMinSphereOfSpheresTraits
CMixedIntegerProgramLinearConstraint
CMixedIntegerProgramLinearObjective
CMixedIntegerProgramTraits
CMixedIntegerProgramVariable
CModularizable
CModularTraits
CMonotoneMatrixSearchTraits
Cmpq_class
CMPSFormat
Cmpz_class
CMultipolygonWithHoles_2
CMutableFaceGraph
CMutableGraph	Concept from the Boost Graph Library
CMutableHalfedgeGraph
CMutablePropertyGraph	Concept from the Boost Graph Library
CNeighborQuery
CNonnegativeLinearProgram
CNonnegativeQuadraticProgram
CNormalEquationSparseLinearAlgebraTraits_d
CObjectWithEraseCounter
COptimalConvexPartitionTraits_2
COptimalTransportationReconstructionTraits_2
COrientedBoundingBoxTraits_3
COrthogonalDistance
COrthtreeTraits
COrthtreeTraitsWithData
COrthtreeTraversal
COutputIterator	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/OutputIterator
COverlayTraits
CParameterizer_3
CPartitionIsValidTraits_2
CPartitionTraits_2
CPeriodic_2DelaunayTriangulationTraits_2
CPeriodic_2Offset_2
CPeriodic_2TriangulationFaceBase_2
CPeriodic_2TriangulationTraits_2
CPeriodic_2TriangulationVertexBase_2
CPeriodic_3DelaunayTriangulationTraits_3
CPeriodic_3MeshDomain_3
CPeriodic_3MeshDomainWithFeatures_3
CPeriodic_3Offset_3
CPeriodic_3RegularTriangulationDSCellBase_3
CPeriodic_3RegularTriangulationDSVertexBase_3
CPeriodic_3RegularTriangulationTraits_3
CPeriodic_3TriangulationDSCellBase_3
CPeriodic_3TriangulationDSVertexBase_3
CPeriodic_3TriangulationTraits_3
CPeriodic_4HyperbolicDelaunayTriangulationTraits_2
CPeriodic_4HyperbolicTriangulationFaceBase_2
CPeriodic_4HyperbolicTriangulationTraits_2
CPeriodic_4HyperbolicTriangulationVertexBase_2
CPlacementFilter
CPMPAutorefinementVisitor
CPMPCorefinementVisitor
CPMPDistanceTraits
CPMPHolefillingVisitor
CPMPPolygonSoupOrientationVisitor
CPMPSelfIntersectionTraits
CPMPSizingField
CPMPTriangulateFaceVisitor
CPointGenerator
CPointSetTraits
CPolygonalSchema
CPolygonalSchemaItems
CPolygonConvexDecomposition_2
CPolygonIsValid
CPolygonOffsetBuilderTraits_2
CPolygonTraits_2
CPolygonWithHolesConvexDecomposition_2
CPolyhedronItems_3
CPolyhedronTraits_3
CPolylineSimplificationCostFunction
CPolylineSimplificationStopPredicate
CPolylineSimplificationVertexBase_2
CPolynomial_d
CPolynomialTraits_d
CPolytopeDistanceDTraits
CPQQMask_3
CProjectionObject
CPropertyGraph	Concept from the Boost Graph Library
CPTQMask_3
CQuadraticProgram
CQuadraticProgramTraits
CRandomAccessCirculator
CRandomAccessContainer	This container concept refines `ReversibleContainer` and its iterator type is a model of `RandomAccessIterator`
CRandomAccessIterator	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/RandomAccessIterator
CRandomAccessRange	See https://www.boost.org/libs/range/doc/html/range/concepts/random_access_range.html
CRandomConvexHullTraits_2
CRandomConvexSetTraits_2
CRandomPolygonTraits_2
CRange
CRangeSearchTraits
CRangeSegmentTreeTraits_k
CRawPoint_3
CReadablePropertyMap	See https://www.boost.org/libs/property_map/doc/ReadablePropertyMap.html
CReadWritePropertyMap	See https://www.boost.org/libs/property_map/doc/ReadWritePropertyMap.html
CRealEmbeddable
CRealEmbeddableTraits
CRectangularPCenterTraits_2
CRegionType
CRegularTriangulationCellBase_3
CRegularTriangulationCellBaseWithWeightedCircumcenter_3
CRegularTriangulationFaceBase_2
CRegularTriangulationTraits
CRegularTriangulationTraits_2
CRegularTriangulationTraits_3
CRegularTriangulationVertexBase_2
CRegularTriangulationVertexBase_3
CRemeshingCellBase_3
CRemeshingSizingField_3
CRemeshingTriangulationTraits_3
CRemeshingVertexBase_3
CReversibleContainer	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/ReversibleContainer
CRingNumberType
CRootOf_2
CSearchGeomTraits_2
CSearchGeomTraits_3
CSearchTraits
CSegmentationGeomTraits
CSegmentDelaunayGraphDataStructure_2
CSegmentDelaunayGraphFaceBase_2
CSegmentDelaunayGraphHierarchyVertexBase_2
CSegmentDelaunayGraphLinfTraits_2
CSegmentDelaunayGraphSite_2
CSegmentDelaunayGraphStorageSite_2
CSegmentDelaunayGraphStorageTraits_2
CSegmentDelaunayGraphTraits_2
CSegmentDelaunayGraphVertexBase_2
CSequenceContainer	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/SequenceContainer
CSimplicialMeshCellBase_3
CSimplicialMeshVertexBase_3
CSinglePassRange	See https://www.boost.org/libs/range/doc/html/range/concepts/single_pass_range.html
CSkinSurface_3
CSkinSurfaceTraits_3
CSnapRoundingTraits_2
CSortedMatrixSearchTraits
CSparseLinearAlgebraTraits_d
CSparseLinearAlgebraWithFactorTraits_d
CSpatialSeparator
CSpatialSortingTraits_2
CSpatialSortingTraits_3
CSpatialSortingTraits_d
CSpatialTree
CSphericalKernel
CSplitter
CSqrt3Mask_3
CStopPredicate
CStraightSkeleton_2
CStraightSkeletonBuilder_2_Visitor
CStraightSkeletonBuilderTraits_2
CStraightSkeletonFace_2
CStraightSkeletonHalfedge_2
CStraightSkeletonItemsConverter_2
CStraightSkeletonVertex_2
CStreamLinesTraits_2
CSubdivisionMask_3
CSublayer
CSurface_3
CSurfaceMeshCellBase_3
CSurfaceMeshComplex_2InTriangulation_3
CSurfaceMeshDeformationWeights
CSurfaceMeshFacetsCriteria_3
CSurfaceMeshShortestPathTraits
CSurfaceMeshShortestPathVisitor
CSurfaceMeshTraits_3
CSurfaceMeshTriangulation_3
CSurfaceMeshVertexBase_3
CSurjectiveLockDataStructure
CSvdTraits
CSwappable	Concept from the C++ standard. See https://en.cppreference.com/w/cpp/named_req/Swappable
CTriangulationCellBase_3
CTriangulationCellBaseWithInfo_3
CTriangulationDataStructure
CTriangulationDataStructure_2
CTriangulationDataStructure_3
CTriangulationDSCellBase_3
CTriangulationDSFace
CTriangulationDSFaceBase_2
CTriangulationDSFullCell
CTriangulationDSVertex
CTriangulationDSVertexBase_2
CTriangulationDSVertexBase_3
CTriangulationFaceBase_2
CTriangulationFullCell
CTriangulationHierarchyVertexBase_2
CTriangulationOnSphereFaceBase_2
CTriangulationOnSphereTraits_2
CTriangulationOnSphereVertexBase_2
CTriangulationTraits
CTriangulationTraits_2
CTriangulationTraits_3
CTriangulationVertex
CTriangulationVertexBase_2
CTriangulationVertexBase_3
CTriangulationVertexBaseWithInfo_2
CTriangulationVertexBaseWithInfo_3
CUniqueFactorizationDomain
CUniqueHashFunction
Cunspecified_type	This indicates that the definition of a type nested in a class is not documented
CVector
CVectorField_2
CVertexAndEdgeListGraph	Concept from the Boost Graph Library
CVertexListGraph
CVisibility_2
CWeightedAlphaShapeTraits_2
CWeightedAlphaShapeTraits_3
CWeightedPoint
CWeightFunctor
CWidthTraits_3
CWritablePropertyMap	See https://www.boost.org/libs/property_map/doc/WritablePropertyMap.html
CYMonotonePartitionIsValidTraits_2