Great Rhombic Triacontahedron


The great rhombic triacontahedron, also called the great stellated triacontahedron, is a zonohedron which is the dual of the great icosidodecahedron and Wenninger model W_(94). It is one of the rhombic triacontahedron stellations.

It appears together with an isometric projection of the 5-hypercube on the cover (and p. 103) of Coxeter's well-known book on polytopes (Coxeter 1973).


The great rhombic triacontahedron can be constructed by expanding the size of the faces of a rhombic triacontahedron by a factor of phi^3=1+2phi, where phi is the golden ratio (Kabai 2002, p. 183) and keeping the pieces illustrated in the above stellation diagram.

See also

Dual Polyhedron, Great Icosidodecahedron, Rhombic Triacontahedron Stellations, Rhombic Triacontahedron, Zonohedron

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Cundy, H. and Rollett, A. "Great Stellated Triacontahedron." V(3.5/2)^2." §3.9.4 in Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., p. 126, 1989.Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, p. 103, 1973.Kabai, S. Mathematical Graphics I: Lessons in Computer Graphics Using Mathematica. Püspökladány, Hungary: Uniconstant, p. 183, 2002., M. J. Dual Models. Cambridge, England: Cambridge University Press, pp. 54-56, 1983.

Cite this as:

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

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