The elongated pentagonal orthobicupola is a convex equilateral solid that is Johnson solid
The unit elongated 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 elongated
pentagonal gyrobicupola , from which it differs only by relative rotation
of the top and bottom cupolas .
See also Diminished Polyhedron ,
Small Rhombicosidodecahedron
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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. Referenced
on Wolfram|Alpha Elongated Pentagonal Orthobicupola
Cite this as:
Weisstein, Eric W. "Elongated Pentagonal Orthobicupola."
From MathWorld https://mathworld.wolfram.com/ElongatedPentagonalOrthobicupola.html
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