Johnson Solids (Page 4)

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

(J72) Gyrate Rhombicosidodecahedron
Vertices:  60  ({10 * 4 + 5 * 4}[4])
Faces:62  ({5 * 4} equilateral triangles + {10 + 5 * 4} squares
    + {5 * 2 + 1 * 2} regular pentagons)
Edges:120
Symmetry:  5-fold Pyramidal  (C5v)
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(11+4*sqrt(5))/2    ≈2.2329505094156900495004
Midscribed Radius:  sqrt(2*(5+2*sqrt(5)))/2    ≈2.1762508994828215111
Volume:(60+29*sqrt(5))/3    ≈41.6153237824979670653