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The pentagonal orthobicupola is a convex equilateral orthobicupola having regular pentagonal upper and lower faces. It is Johnson
solid 
.
The unit pentagonal orthobicupola has volume
 |
(1) |
and Dehn invariant
where the first expression uses the basis of Conway et al. (1999). It can be dissected into the pentagonal gyrobicupola, from which it differs only by the relative rotation of the top and bottom cupolas.
See also
Bicupola, Johnson Solid, Orthobicupola
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References
Conway, J. H.; Radin, C.; and Sadun, L. "On Angles Whose Squared Trigonometric Functions Are Rational." Discr. Computat. Geom. 22, 321-332, 1999.Johnson, N. W. "Convex Polyhedra with Regular Faces." Canad. J. Math. 18, 169-200, 1966.
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Cite this as:
Weisstein, Eric W. "Pentagonal Orthobicupola." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PentagonalOrthobicupola.html