Johnson Solids (Page 3)

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)

(J44) Gyroelongated Triangular Bicupola
Vertices:  18  (6[4] + {6 * 2}[5])
Faces:26  ({6 * 3 + 2} equilateral triangles + 6 squares)
Edges:42
Symmetry:  3-fold Dihedral  (D3)
(values below based on edge length = 1)
Volume:sqrt(2*(34+9*sqrt(3)    
    +30*sqrt(1+sqrt(3))))/3    
≈4.6945643929158936762