Talk:Two-orbit polytope

How I think two-orbits should be categorized
I believe two-orbits fall into three categories: Quasiregulars (isogonal but not isotopic), Quasiregular duals (isotopic but not isogonal), and noble two-orbits (isogonal and isotopic). It is technically a noble two-orbit, but I feel that the streched square tiling with rhombic faces does not nicely go into this categorization because it is transitive on all levels. It also kinda fits both the Quasiregular dual category because of its rhombic faces.

Are there any others?
I conjecture the list on this page is complete but I do not have a proof. Are there any others? Is my conjecture true? If there are others, what?