A decahedron is a polyhedron with 10 faces. There are several versions of a decahedron, but none of these are regular. By definition, they all have 10 faces.
There is the octagonal prism - with 24 edges and 16 vertices,
the square anti-prism, with 16 edges and 8 vertices,
the square cupola, with 20 edges and 12 vertices,
the pentagonal bi-pyramid, with 15 edges and 7 vertices and
the augmented pentagonal prism, with 19 edges and 11 vertices.
See, for example, http://en.wikipedia.org/wiki/Decahedron
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If you add the vertices and Faces and subtract 2 from that number you get the number of edges. Vertices+Faces=Edges+2
A sphere- there are no faces, edges or vertices
It has 7 faces, 15 edges and 10 vertices
A dodecahedron has 12 equilateral pentagonal faces. From this, it has 30 edges as well as 20 vertices in its shape.
In a prism, the number of faces, vertices, and edges are related by the formula F + V - E = 2, known as Euler's formula. For a prism, which has two parallel and congruent faces connected by rectangular faces, the number of faces (F) is equal to the sum of the number of rectangular faces and the two congruent bases. The number of vertices (V) is equal to the number of corners where edges meet, and the number of edges (E) is equal to the sum of the edges around the bases and the edges connecting the corresponding vertices of the bases.