Snub dodecahedron
The Snub Dodecahedron or a Snub Icosidodecahedron has [92 faces: 12 regular pentagons, 80 (20+60) equilateral triangles], 150 edges, 60 vertices, two mirrors.
Snub Dodecahedron Media
The snub dodecahedron has no point symmetry, so the vertex in the front does not correspond to an opposite vertex in the back.