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As the name implies, there are 12 faces on a dodecahedron. Each face is a pentagon, which has 5 edges, so there would be 60 edges altogether except that each edge is shared by 2 faces, so there are 30 edges. Using Euler's formula V + F = E + 2, the number of vertices is 20. Therefore each vertex is shared by 3 faces and 3 edges.
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