A zonohedron which is the dual of the dodecadodecahedron and Wenninger dual . The medial rhombic triacontahedron contains interior pentagrammic vertices which are, however, hidden from view (Wenninger 1983, p. 41). The solid is also called the small stellated triacontahedron (Coxeter 1973, pp. 102-103). The convex hull of the dodecadodecahedron is an icosidodecahedron and the dual of the icosidodecahedron is the rhombic triacontahedron, so the dual of the dodecadodecahedron (i.e., the medial rhombic triacontahedron) is one of the rhombic triacontahedron stellations (Wenninger 1983, p. 41).
Medial Rhombic Triacontahedron
See also
Dual Polyhedron, Dodecadodecahedron, Rhombic Triacontahedron StellationsExplore with Wolfram|Alpha
References
Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, 1973.Cundy, H. and Rollett, A. "Small Stellated Triacontahedron. V." §3.9.3 in Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., p. 125, 1989.Kabai, S. Mathematical Graphics I: Lessons in Computer Graphics Using Mathematica. Püspökladány, Hungary: Uniconstant, p. 175, 2002.Wenninger, M. J. Dual Models. Cambridge, England: Cambridge University Press, pp. 41 and 46, 1983.Referenced on Wolfram|Alpha
Medial Rhombic TriacontahedronCite this as:
Weisstein, Eric W. "Medial Rhombic Triacontahedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MedialRhombicTriacontahedron.html