A gyroelongated pentagonal cupolarotunda is formed by attaching a pentagonal cupola and a pentagonal rotunda to the
two decagonal bases of a decagonal antiprism.
The convex equilateral form with regular polygonal faces
is the Johnson solid 
.
It has 35 polyhedron vertices, 80 polyhedron edges, and 47 faces. The faces
consist of 35 equilateral triangles, 5 squares, and 7 regular pentagons
(McCooey).
See also
Antiprism,
Cupolarotunda,
Pentagonal Cupola,
Pentagonal
Rotunda
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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 Cupolarotunda." https://dmccooey.com/polyhedra/GyroelongatedPentagonalCupolarotunda.html.Referenced
on Wolfram|Alpha
Gyroelongated Pentagonal
Cupolarotunda
Cite this as:
Weisstein, Eric W. "Gyroelongated Pentagonal Cupolarotunda." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GyroelongatedPentagonalCupolarotunda.html
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