Johnson Solids (Page 4)

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(J75) Trigyrate Rhombicosidodecahedron
Vertices:  60  ({6 * 8 + 3 * 4}[4])
Faces:62  ({6 * 2 + 3 * 2 + 1 * 2} equilateral triangles
    + {6 * 3 + 3 * 4} squares + {3 * 4} regular pentagons)
Edges:120
Symmetry:  3-fold Pyramidal  (C3v)
(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