Yes, any polyhedron with sides has vertices. The only three dimension objects which are not a polyhedra are spheres, spheroids, and ellipsoids.
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A dodecahedron can have 8 to 20 vertices.
Dodecahedron.
89 vertices and 444 faces
A regular dodecahedron has 20 vertices, 12 faces and 30 edges. A dodecahedron can also be a endacagon based pyramid which has 12 vertices, 12 faces and 22 edges, or A decagon based prism which has 20 vertices, 12 faces and 30 edges, or one of many other configurations.
By definition, a dodecahedron must have twelve faces. So it must be an decagonal prism. Edges = 30 Faces = 12 Vertices = 20