progresses into tilings the hyperbolic plane to any n.) These face-transitive figures have (n32) rotational symmetry. The pentagonal icositetrahedron is second in a series of dual snub polyhedra and tilings with face configuration V3.3.4.3.n. The pentagonal icositetrahedron is one of a family of duals to the uniform polyhedra related to the cube and regular octahedron. References (Section 3-9) (The thirteen semiregular convex polyhedra and their duals, Page 28, Pentagonal icositetrahedron) The Symmetries of Things 2008, John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, (Chapter 21, Naming the Archimedean and Catalan polyhedra and tilings, page 287, pentagonal icosikaitetrahedron) External links Pentagonal Icositetrahedron – Interactive Polyhedron Model Catalan solids Chiral polyhedra