An elongated triangular cupola is formed by adjoining a triangular cupola and a hexagonal prism along their matching
hexagonal bases.
The convex equilateral form with regular polygonal faces
is the Johnson solid 
.
It has 15 polyhedron vertices, 27 polyhedron edges, and 14 faces. The faces
consist of 4 equilateral triangles, 9 squares, and one regular hexagon
(McCooey).
See also
Elongated Cupola,
Triangular
Cupola
Explore with Wolfram|Alpha
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. "Elongated Triangular Cupola." https://dmccooey.com/polyhedra/ElongatedTriangularCupola.html.Referenced
on Wolfram|Alpha
Elongated Triangular Cupola
Cite this as:
Weisstein, Eric W. "Elongated Triangular Cupola."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ElongatedTriangularCupola.html
Subject classifications
