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Great Triambic Icosahedron


U47Dual

700

The great triambic icosahedron is the dual of the great ditrigonal icosidodecahedron U_(47) and Wenninger model W_(87) whose appearance is the same as the medial triambic icosahedron (the dual of the ditrigonal dodecadodecahedron), since internal vertices are hidden from view (Wenninger 1983, p. 42). The medial triambic icosahedron has hidden pentagrammic faces, while the great triambic icosahedron has hidden triangular faces (Wenninger 1983, pp. 45, 47, and 48-50).

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


See also

Dual Polyhedron, Great Ditrigonal Icosidodecahedron, Icosahedron Stellations, Medial Triambic Icosahedron

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References

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

Great Triambic Icosahedron

Cite this as:

Weisstein, Eric W. "Great Triambic Icosahedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GreatTriambicIcosahedron.html

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