Johnson Solids (Page 5)
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(J78)
Metagyrate Diminished Rhombicosidodecahedron
Vertices:
55 ({2 * 5}[3] + {2 * 21 + 1 * 3}[4])
Faces:
52 ({2 * 6 + 1 * 3} equilateral triangles
+ {2 * 11 + 1 * 3} squares + {2 * 4 + 1 * 3} regular pentagons
+ 1 regular decagon)
Edges:
105
Symmetry:
Reflection (Cs = C1h = C1v)
(values below based on edge length = 1)
Volume:
(115+54*sqrt(5))/6
≈39.291278464164773934