User:Tomruen/List of isotoxal polychora and honeycombs

A vertex transitive polytope is also edge-transitive if its vertex figure is vertex transitive! (Since each vertex in the vertex figure represents an edges in the polytope)

I think this is a complete list of regular convex and uniform 4-polytopes/honeycombs that are isotoxal. (And a subset of nonconvex forms from the nonconvex regulars)

Linear graph polychora/honeycombs
From convex self-dual regular and uniform polychora:

From convex regular and uniform polychora: