There are seven topologically distinct convex hexahedra, corresponding through graph duality with the seven hexahedral graphs. The
illustration above shows these seven hexahedra (top line), their skeletons (middle
line), and the hexahedral graphs whose duals correspond to the polyhedra and their
skeletons (bottom line).

Through graph duality, the list of numbers of vertices for each polyhedron in a hexahedron corresponds to the degree sequence (sequence of
vertex degrees) of a hexahedral graph. The following
table lists the hexahedra, together with their degree sequences, number of vertices
, and number of edges , which are related through the polyhedral
formula. Standard names do not appear to be in common use for a number of these;
for such cases, the names appearing on Michon are used.