1000

The medial triambic icosahedron is the dual of the ditrigonal dodecadodecahedron
and Wenninger dual , 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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## 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

Medial Triambic Icosahedron
## Cite this as:

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

## Subject classifications