A medial rhombic triacontahedron is 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
Dodecadodecahedron, Dual Polyhedron, 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 Resource. https://mathworld.wolfram.com/MedialRhombicTriacontahedron.html