The solid commonly called a dodecahedron is not a solid pyramid but the name simply means a solid shape with 12 faces and so, a pyramid on a 11-sided polygonal base will be a dodecahedron.
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22 edges.
That is the correct spelling of "dodecahedron" (12-sided geometric solid).
dodecahedron
The solid with 12 equal faces is a dodecahedron. A dodecahedron has 12 equal pentagon surfaces.
A dodecahedron pyramid does not exist.However, a dodecagon pyramid exists. If a dodecagon has 12 sides, there would be 12 vertices. But all the vertices would join up to make a vertex, making one extra vertex. 12 + 1 = 13