Johnson Solids (Page 4)

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(J74) Metabigyrate Rhombicosidodecahedron
Vertices:  60  ({4 * 13 + 2 * 4}[4])
Faces:62  ({4 * 3 + 2 * 4} equilateral triangles
    + {4 * 6 + 2 * 2 + 1 * 2} squares
    + {4 + 4 * 2} regular pentagons)
Edges:120
Symmetry:  2-fold Pyramidal  (C2v)
(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