Johnson Solids (Page 2)

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)
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(J22) Gyroelongated Triangular Cupola
Vertices:  15  ({3 * 3}[4] + 6[5])
Faces:20  ({6 + 3 * 3 + 1} equilateral triangles + 3 squares
    + 1 regular hexagon)
Edges:33
Symmetry:  3-fold Pyramidal  (C3v)
(values below based on edge length = 1)
Volume:sqrt(2*(61+36*sqrt(3)    
    +60*sqrt(1+sqrt(3))))/6    
≈3.5160530909383144689