sentences:  A uniform 8-polytope is one which is vertex-transitive, and constructed from uniform 7-polytope facets.Regular 8-polytopes can be represented by the Schläfli symbol {p,q,r,s,t,u,v}, with v {p,q,r,s,t,u} 7-polytope facets around each peak.There are exactly three such convex regular 8-polytopes