The Elongated Triangular Cupola
The elongated triangular cupola is the 18th Johnson solid (J18). It has 15 vertices, 27 edges, and 14 faces (4 equilateral triangles, 9 squares, and 1 hexagon).
The elongated triangular cupola can be constructed by attaching a hexagonal prism to a triangular cupola, lengthening it; hence the name elongated.
Projections
Here are some views of the elongated triangular cupola from various angles:
Projection  Envelope  Description 

Regular hexagon  Top view. 

Hexagon  Side view. 

Hexagon  Front view. 
Coordinates
The Cartesian coordinates of the elongated triangular cupola with edge length 2 are:
 (±1, −1/√3, 1+√(8/3))
 (0, 2/√3, 1+√(8/3))
 (±1, ±√3, ±1)
 (±2, 0, ±1)