Quasiregular polytope

A quasiregular polytope is any polytope with regular facets and quasiregular vertex figures. They are vertex-transitive and have two types of alternating facets. They are a subcategory of the uniform polytopes. In 3d they compose of mostly rectified uniforms and hemipolyhedra, and the three that are not are facetings of the dodecahedron.