A gyroelongated triangular cupola is formed by adjoining a triangular cupola and a hexagonal antiprism along
their matching hexagonal bases.
The convex equilateral form with regular polygonal faces
is the Johnson solid 
.
It has 15 polyhedron vertices, 33 polyhedron edges, and 20 faces. The faces
consist of 16 equilateral triangles, 3 squares, and one regular hexagon
(McCooey).
See also
Antiprism,
Cupola,
Gyroelongated Cupola,
Triangular
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 Triangular Cupola." https://dmccooey.com/polyhedra/GyroelongatedTriangularCupola.html.Referenced
on Wolfram|Alpha
Gyroelongated Triangular
Cupola
Cite this as:
Weisstein, Eric W. "Gyroelongated Triangular
Cupola." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GyroelongatedTriangularCupola.html
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