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. VReferenced 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