Johnson Solids (Page 5)

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(J83) Tridiminished Rhombicosidodecahedron
Vertices:  45  ({6 * 5}[3] + {6 + 3 * 3}[4])
Faces:32  ({3 + 1 * 2} equilateral triangles + {6 + 3 * 3} squares
    + {3 * 3} regular pentagons + 3 regular decagons)
Edges:75
Symmetry:  3-fold Pyramidal  (C3v)
(values below based on edge length = 1)
Volume:(105+46*sqrt(5))/6    ≈34.643187827498387672