So I've started updating my website again, starting with the 3D Catalan solids, and with the plan of eventually covering all the 4D Catalans. But I ran into a little conundrum: what to name each 4D Catalan? In 3D, they have names that directly describe their geometry (rhombic dodecahedron, triakis octahedron, disdyakis hexecontahedron, etc.), but in 4D I don't know of any such names, only that they are duals to the 4D uniforms.
Is there an "official" list of 4D Catalan names? Or some kind of naming scheme I could use for them? I'd like to follow in the spirit of the 3D Catalan names, if possible.