A gyroelongated square bicupola is formed by attaching two square cupolas to the two octagonal bases of an octagonal antiprism.
The convex equilateral form with regular polygonal faces
is the Johnson solid 
.
It has 24 polyhedron vertices, 56 polyhedron edges, and 34 faces. The faces
consist of 24 equilateral triangles and 10
squares (McCooey).
See also
Antiprism,
Bicupola,
Square Cupola
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References
Johnson, N. W. "Convex Polyhedra with Regular Faces." Canad. J. Math. 18, 169-200, 1966. https://doi.org/10.4153/CJM-1966-021-8.McCooey,
D. I. "Gyroelongated Square Bicupola." https://dmccooey.com/polyhedra/GyroelongatedSquareBicupola.html.Referenced
on Wolfram|Alpha
Gyroelongated Square Bicupola
Cite this as:
Weisstein, Eric W. "Gyroelongated Square Bicupola."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GyroelongatedSquareBicupola.html
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