 Nearly every uniform polytope can be generated by a Wythoff construction, and represented by a Coxeter diagram.Notable exceptions include the great dirhombicosidodecahedron in three dimensions and the grand antiprism in four dimensions.The terminology for the convex uniform polytopes used in uniform polyhedron, uniform 4-polytope, uniform 5-polytope, uniform 6-polytope, uniform tiling, and convex uniform honeycomb articles were coined by Norman Johnson.