Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Thanks, edited. First think about the case of which the input is the list of vertices, edges and faces. Because we cant uniquely determine a polyhedron with only its vertices.
Do you mean that no two polyhedrons have this property? I have some examples, for example I can reach a tetrahedron from a cube, maybe the tetrahedron is not regular!