| BevelEdges | Bevels the specified edges with given parameters. |
| VertexHandleFromIndex | Retrieves a vertex handle from an index. |
| HalfEdgeHandleFromIndex | Retrieves a half-edge handle from an index. |
| FaceHandleFromIndex | Retrieves a face handle from an index. |
| MergeMesh | Merges another mesh into this one with a transformation. |
| AddVertex | Adds a vertex to the topology. |
| AddVertices | Adds multiple vertices to the topology. |
| AddFace | Connects vertices to form a face. |
| CalculateBounds | Calculates the bounds of all vertices. |
| Scale | Scales all vertices by a given vector. |
| SetFaceMaterial | Assigns a material to a face. |
| GetFaceMaterial | Retrieves the material used by a face. |
| GetEdgeSmoothing | Gets the smoothing mode of an edge. |
| SetEdgeSmoothing | Sets the smoothing mode of an edge. |
| SetSmoothingAngle | Sets the smoothing angle for the mesh. |
| TriangleToFace | Converts a triangle index to a face handle. |
| ExtrudeFaces | Extrudes multiple faces along an offset. |
| DetachFaces | Detaches multiple faces from the mesh. |
| ExtendEdges | Extends the specified edges by a given amount. |
| CombineFaces | Combines multiple faces into one. |
| DissolveEdges | Dissolves the specified edges under certain conditions. |
| MergeEdges | Merges two edges into one. |
| FlipAllFaces | Flips all faces in the mesh. |
| MergeVerticesWithinDistance | Merges vertices within a specified distance. |
| CreateFaceInEdgeLoop | Adds a face filling in the open edge loop specified by the provided edge. |
| GetHalfEdgeFace | Gets the face connected to a half edge. |
| IsEdgeOpen | Determines if the specified edge is open. |
| FindEdgeRing | Finds all edges in the ring with the specified edge. |
| BridgeEdges | Bridges two edges by creating a face connecting them. |
| ConnectEdges | Connects specified edges by adding a vertex to their midpoint. |
| AddVertexToEdge | Adds a vertex to an edge at a specified parameter. |
| RemoveVertex | Removes a vertex from the mesh. |
| BevelVertices | Bevels the specified vertices by a given distance. |
| GetFacesConnectedToVertex | Gets all faces connected to a vertex. |
| FindFaceVertexConnectedToVertex | Finds the face vertex connected to another vertex. |
| GetNextVertexInFace | Gets the next vertex in a face. |
| ConnectVertices | Connects two vertices with an edge. |
| InsideTriangle | Determines if a point is inside a triangle. |
| FindEdgeLoopForEdges | Finds the edge loop for the specified edges. |
| FindEdgeIslands | Finds edge islands in the mesh. |
| FindEdgeRibs | Finds edge ribs in the mesh. |
| GetEdgeLine | Gets the start and end points of an edge. |
| GetEdgeVertices | Gets the two vertices of a half edge. |
| SetVertexPosition | Sets the position of a vertex. |
| GetVertexPosition | Gets the position of a vertex. |
| GetVertexPositions | Gets the positions of all vertices. |
| ComputeFaceNormal | Computes the normal of a face. |
| GetFaceCenter | Calculates the center point of a face. |
| GetEdges | Gets the start and end points of all edges. |
| GetFaceVertexPositions | Gets the vertex positions of a face. |
| GetFaceVerticesConnectedToFace | Gets vertices connected to a face. |
| GetVertexConnectedToFaceVertex | Gets the vertex connected to a face vertex. |
| ComputeFaceTextureParametersFromCoordinates | Computes texture parameters from coordinates. |
| ComputeFaceTextureCoordinatesFromParameters | Computes texture coordinates from parameters. |
| ApplyTransform | Applies a transformation to all vertices. |
| GetFaceEdges | Gets all edge handles of a face. |
| GetFaceVertices | Gets all vertex handles of a face. |
| GetTextureOffset | Gets the texture offset of a face. |
| SetTextureOffset | Sets the texture offset of a face. |
| GetTextureScale | Gets the texture scale of a face. |
| SetTextureScale | Sets the texture scale of a face. |
| TextureAlignToGrid | Aligns face texture properties to grid. |
| TextureAlignToFace | Aligns face texture properties to face. |
| SetFaceTextureCoords | Sets face texture coordinates. |
| SetFaceTextureParameters | Sets face texture properties. |
| GetFaceTextureParameters | Gets face texture properties. |
| RemoveFaces | Removes specified faces from the mesh. |
| RemoveVertices | Removes specified vertices from the mesh. |
| RemoveEdges | Removes specified edges from the mesh. |
| CollapseEdge | Collapses an edge into a vertex. |
| CollapseFace | Collapses a face into a vertex. |
| SplitEdges | Splits the specified edges. |
| CollapseEdges | Collapses the specified edges. |
| Rebuild | Triangulates the polygons into a model. |
| GetEdgesConnectedToFace | Gets edges connected to a face. |
| GetVerticesConnectedToEdge | Gets vertices connected to an edge. |
| GetEdgeVertexPositions | Gets vertex positions of an edge. |
| GetOppositeFaceConnectedToEdge | Gets the opposite face connected to an edge. |
| QuadSliceFaces | Slices faces into quads. |
| RemoveBadFaces | Removes faces that are considered bad. |
| AverageEdgeUVs | Averages UVs across edges. |
| AverageVertexUVs | Averages UVs across vertices. |
| GetBestPlanesForEdgeBetweenFaces | Gets the best planes for an edge between two faces. |
| GetNearestEdgesBetweenFaces | Finds the nearest edges between two faces. |
| GetFacePlaneUsingEdge | Gets the plane of a face using an edge. |
| GetOppositeHalfEdge | Gets the opposite half-edge of a given edge. |
| GetTextureExtents | Gets the texture extents for a face. |
| JustifyFaceTextureParameters | Justifies face texture parameters. |
| UnionExtentsForFaces | Unions extents for multiple faces. |
| CreateFace | Creates a face with specified parameters. |
| JsonRead | Reads a PolygonMesh from JSON. |
| JsonWrite | Writes a PolygonMesh to JSON. |