Johnson Solids (Page 5)
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(J77)
Paragyrate Diminished Rhombicosidodecahedron
Vertices:
55 (10[3] + {10 * 3 + 5 * 3}[4])
Faces:
52 ({5 * 3} equilateral triangles + {10 + 5 * 3} squares
+ {5 * 2 + 1} regular pentagons + 1 regular decagon)
Edges:
105
Symmetry:
5-fold Pyramidal (C5v)
(values below based on edge length = 1)
Volume:
(115+54*sqrt(5))/6
≈39.291278464164773934