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The truncated icosahedron is created by truncating (cutting
off) the tips of
the icosahedron one third of the way into each edge

32 total faces: 12 regular pentagons and 20
regular hexagons
60 vertices: 2 hexagons and
1 pentagon
90 edges
Dihedral angles:
138 degrees, 11 minutes for the hex-hex
angle, 142 degrees, 37 minutes for the hex-pent angle
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