A gyroelongated pentagonal cupola is formed by adjoining a pentagonal cupola and a decagonal antiprism
along their matching decagonal bases.
The convex equilateral form with regular polygonal faces
is the Johnson solid 
.
It has 25 polyhedron vertices, 55 polyhedron edges, and 32 faces. The faces
consist of 25 equilateral triangles, 5 squares, one regular pentagon,
and one regular decagon (McCooey).
See also
Antiprism,
Cupola,
Gyroelongated Cupola,
Pentagonal
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 Pentagonal Cupola." https://dmccooey.com/polyhedra/GyroelongatedPentagonalCupola.html.Referenced
on Wolfram|Alpha
Gyroelongated Pentagonal
Cupola
Cite this as:
Weisstein, Eric W. "Gyroelongated Pentagonal
Cupola." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GyroelongatedPentagonalCupola.html
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