I have some of my own terminolgy for polytopes.
Mountainform: Polytope in 3D and beyond that has regular faces.(not the same as "scaliform" which has the extra property of being "vertex-transitive"
Sub-regular: all the facets are regular (I know that would probably be semi-regular but I prefer to use that term for non-indentical regular facets)
Hyper3-regular: all facets are sub-regular
Super-scaliform: all the cells are uniform(or regular thus creating two types!)
Hyper3-scaliform: membranes are uniform (or regular or sub-regular, three types)
etc
Membrane: 4-face
a lot of these are just until I can find something better!
What do you think
I'm hoping to have a full system for catogrising "mountainforms"