This (draft) page presents a comprehensive presentation of all 15 permutations of the six 4D polychora (i.e. 5, 16/8, 24, 600/120 cells). It presents them in full SVG format for convenient use in academic papers on the topic. This is done using a 6×15 matrix of 4D to 3D projections of the convex hulls, each with a link to a page with that objects Coxeter section decomposition. I want to give a shout-out (cite) to the websites providing (most of) the vertex coordinates used in the creation of the objects qfbox.info and polytope.miraheze.org.

Also included is a Mathematica notebook (230Mb) with code to produce the 4D vertex data as well as the visualized interactive 3D objects. See also an overview of these lists explained in a this Powerpoint presentation, which covers the isomorphisms between them due to the symmetries in the Coxeter-Dynkin diagrams that represent them.