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Truncated Triangular Prism


TruncatedTriangularPrism

The truncated triangular prism is an undecagon obtained by truncation of a triangular prism. It has 18 vertices, 27 edges, and 11 faces. As a canonical polyhedron with unit midradius, its edges are of three different lengths,

s_1=1/(sqrt(3))
(1)
s_2=5/(4sqrt(3))
(2)
s_3=(sqrt(3))/2,
(3)

with tallies of 12, 12, and 3 respectively.

The canonical truncated triangular prism has surface area and volume given by

S=3/4(30+4sqrt(3)+sqrt(21))
(4)
V=(51sqrt(3))/8.
(5)
TruncatedTriangularPrismNet

Its net is illustrated above.

TruncatedTriangularPrismAndDual

The truncated triangular prism is also the polyhedron dual of the Goldner-Harary polyhedron, as illustrated above for the canonical versions of these solids.


See also

Goldner-Harary Polyhedron, Undecahedron

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Cite this as:

Weisstein, Eric W. "Truncated Triangular Prism." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TruncatedTriangularPrism.html

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