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 

The 5 Platonic Solids: 1 - 2 - 3 - 4 - 5
The 13 Semi-Regular Platonic Solids: 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 - 13
More With Platonic Solids: 1 - 2 - 3 - 4

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