This class was designed to include interesting polytopes. These polytopes have less isogonal-groups than their number of vertices.
This one is an oldie. These polytopes are isogonal, have edges of equal lengths, and have uniform elements.
This one is newer but similar to uniform. These polytopes are isogonal, have edges of equal lengths, and have isogonal faces.
This one is similar to uniform. These polytopes are isogonal, and have semiuniform elements.
This one is similar to scaliform. These polytopes are isogonal, and have isogonal faces.
This one is also similar to uniform. These polytopes have edges of equal lengths, and isogonal faces.
This one is related to semiuniform. These polytopes are isogonal and are in the army of a semiuniform.
This one is related to semiscaliform. These polytopes are isogonal, and are in the army of a semiscaliform.