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Triakis icosahedron

In geometry, the triakis icosahedron is an Archimedean dual solid, or a Catalan solid, with 60 isosceles triangle faces. Its dual is the truncated dodecahedron. It has also been called the kisicosahedron. Wikipedia
Dihedral angle: 160°36′45″; arccos(−24 + 15√5/61)
Edges: 90
Faces: 60
Rotation group: I,+, (532)
Symmetry group: Ih, H3,, (*532)
Vertices: 32