Medial Rhombic Triacontahedron


A zonohedron which is the dual of the dodecadodecahedron U_(36) and Wenninger dual W_(73). 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).

See also

Dual Polyhedron, Dodecadodecahedron, Rhombic Triacontahedron Stellations

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Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, 1973.Cundy, H. and Rollett, A. "Small Stellated Triacontahedron. V(5.5/2)^2." §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 Triacontahedron

Cite this as:

Weisstein, Eric W. "Medial Rhombic Triacontahedron." From MathWorld--A Wolfram Web Resource.

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