User:Tomruen/List of isotoxal polychora and honeycombs
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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)