Johnson Solids (Page 5)

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(J82) Gyrate Bidiminished Rhombicosidodecahedron
Vertices:  50  ({2 * 10}[3] + {2 * 13 + 1 * 4}[4])
Faces:42  ({2 * 3 + 1 * 4} equilateral triangles
    + {2 * 8 + 1 * 4} squares + {2 * 3 + 1 * 4} regular pentagons
    + 2 regular decagons)
Edges:90
Symmetry:  Reflection  (Cs = C1h = C1v)
(values below based on edge length = 1)
Volume:(55+25*sqrt(5))/3    ≈36.967233145831580803