Two convex polyhedra P and P' are isomorphic if there is a one-to-one correspondence between the vertices of P and the vertices of P' such that there is and edge between two vertices vi and vj of P if and only if there is an edge between the corresponding vertices vi' and vj' of P'.
A polyhedral type is a class of isomorphic polyhedra.
The applet shows, for each polyhedral type, the unique polyhedron (up to scale and orientation) which satisfies the following:
This unique representation of polyhedral types is the topic of .
The enumeration of polyhedral types was done by the
plantri program written by Gunnar Brinkmann and
polymake is a tool to study the combinatorics
and the geometry of convex polytopes and polyhedra. It is also
capable of dealing with simplicial complexes, matroids,
polyhedral fans, graphs, tropical objects, ...
|Last modified: Friday, 24-Jun-2011 17:46:14 CEST||_|