Johnson Solids (Page 3)

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(J47) Gyroelongated Pentagonal Cupolarotunda
Vertices:  35  ({5 * 3}[4] + {5 * 4}[5])
Faces:47  ({5 * 7} equilateral triangles + 5 squares
    + {5 + 1 * 2} regular pentagons)
Edges:80
Symmetry:  5-fold Cyclic  (C5)
(values below based on edge length = 1)
Volume:5*(11+5*sqrt(5)+2*sqrt(2    
    *(sqrt(10*(65+29*sqrt(5)))    
    −1−sqrt(5))))/12    
≈15.991096162004890063