Johnson Solids (Page 1)

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(J16) Elongated Pentagonal Dipyramid
regular faces
Vertices:  12  (10[4] + 2[5])
Faces:15  (10 equilateral triangles + 5 squares)
Edges:25
Symmetry:  5-fold Prismatic  (D5h)
(values below based on edge length = 1)
Volume:(5+sqrt(5)+3*sqrt(5*(5    
    +2*sqrt(5))))/12    
≈2.3234830653806160641