Medial Triambic Icosahedron



The medial triambic icosahedron is the dual of the ditrigonal dodecadodecahedron U_(41) and Wenninger dual W_(80), whose outward appearance is the same as the great triambic icosahedron (the dual of the great ditrigonal icosidodecahedron), since the internal vertices are hidden from view. The medial triambic icosahedron has hidden pentagrammic faces, while the great triambic icosahedron has hidden triangular faces (Wenninger 1983, pp. 45 and 47-50).

The convex hull of the small ditrigonal icosidodecahedron is a regular dodecahedron, whose dual is the icosahedron, so the dual of the small ditrigonal icosidodecahedron (i.e., the medial triambic icosahedron) is one of the icosahedron stellations (Wenninger 1983, p. 42).

See also

Dual Polyhedron, Ditrigonal Dodecadodecahedron, Great Triambic Icosahedron, Icosahedron Stellations, Uniform Polyhedron

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Wenninger, M. J. Dual Models. Cambridge, England: Cambridge University Press, pp. 41 and 46, 1983.

Wenninger, M. J. "Ninth Stellation of the Icosahedron." §34 in Polyhedron Models. New York: Cambridge University Press, p. 55, 1989.

Referenced on Wolfram|Alpha

Medial Triambic Icosahedron

Cite this as:

Weisstein, Eric W. "Medial Triambic Icosahedron." From MathWorld--A Wolfram Web Resource.

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