Talk:List of uniform polyhedra by vertex figure

verification
What is the basis for the classification given in the section titles? Mathworld's entry for Uniform polyhedron reproduces this scheme from "Johnson, N. W. Uniform Polytopes. Cambridge, England: Cambridge University Press, 2000." but that reference is mistaken - Johnson's book has still yet to be published. That is not sufficient to validate this article. &mdash; Cheers, Steelpillow (Talk) 11:19, 30 August 2013 (UTC)