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