I want to morph two surface meshes made from triangles and quadrilaterals. They are already "compatible" so that one can be converted to the other simply by changing the coordinates of the vertices. No vertices, gaps, edges, etc. are created or destroyed. Not sure of the terminology. I think that means they have some or all of these properties: - Homeomorphic - Topologically equivalent - Combinatorially equivalent - The same in every way except the (x,y,z) coordinates and the numbering/labeling of the vertices/elements. I want to find all the possible ways the vertices could be numbered so the numbers match on both meshes. For example the circular mesh in the picture would have 6 ways to number the vertices 1,2,3,.. so they match the triangular mesh.