In an attempt to create a catch-all term for any interesting polytope I created the term demiuniform, now renamed symmetroform. A symmetroform polytope is one that has less vertex-transitive groups than it has vertices and its elements must be symmetroform. Symmetroform polytopes include uniform polytopes, johnson solids, and perhaps scaliform. Tell me what you think. I half think somebody has already created this term on this forum but I'm posting this anyways.

Axioms:

1 - Every symmetroform polytope's dual is symmetroform.

2 - Every symmetroform polytope's conjugate is symmetroform.

3 - Every self-dual polytope is symmetroform.

4 - Every self-conjugate polytope is symmetroform.

5 - Every polytope with congruent elements are symmetroform.

6 - Every non-abstract polytope with symmetroform elements is symmetroform.

7 - Every stellation of a symmetroform polytope must be symmetroform.

8 - Every polytope circumscribable is symmetroform.