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Pentagonal Prism


U76
PentagonalPrismNet

The pentagonal prism is a prism having two pentagonal bases and five rectangular sides. It is a heptahedron.

The regular right pentagonal prism is uniform polyhedron U_(76). Its dual polyhedron is the pentagonal dipyramid.

PentagonalPrismConvexHulls

A (possibly nonregular) pentagonal prism is the convex hull of the pentagrammic antiprism, pentagrammic prism, and pentagrammic crossed antiprism.

PentagonalPrismAndDual

The dual polyhedron of the regular pentagonal prism is the canonical pentagonal dipyramid.

The surface area and volume for the right regular pentagonal prism of unit edge length are

S=5+1/2sqrt(5(5+2sqrt(5)))
(1)
V=1/4sqrt(5(5+2sqrt(5))).
(2)

See also

Augmented Pentagonal Prism, Biaugmented Pentagonal Prism, Heptahedron, Pentagonal Prism 6-Compound, Pentagrammic Prism, Prism

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References

Hart, G. "Compound of Six Pentagonal Prism." http://www.georgehart.com/virtual-polyhedra/vrml/compound_of_6_pentagonal_prisms.wrl.Skilling, J. "Uniform Compounds of Uniform Polyhedra." Math. Proc. Cambridge Phil. Soc. 79, 447-457, 1976.

Referenced on Wolfram|Alpha

Pentagonal Prism

Cite this as:

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

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