Truncated icosahedron
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In geometry, the truncated icosahedron is an Archimedean solid, one of 13 convex isogonal nonprismatic solids whose 32 faces are two or more types of regular polygons. It is the only one of these shapes that does not contain triangles or squares. Wikipedia
Dihedral angle: 6-6: 138.189685°; 6-5: 142.62°
Elements: F = 32, E = 90, V = 60 (χ = 2)
Faces by sides: 12+20
Rotation group: I,+, (532), order 60
Schläfli symbols: t
Symmetry group: Ih, H3,, (*532), order 120
Wythoff symbol: 2 5 | 3