Pyritohedral icosahedron

The snub truncated octahedron or pyritohedral icosahedron is a convex isogonal polyhedron that is a variant of the icosahedron with pyritohedral symmetry. It has 8 equilateral triangle]]s and 12 isosceles triangles for faces.

It can generally be formed by alternating a semi-uniform truncated octahedron.

A particular case of this polyhedron, where the 24 edges of the equilateral triangles have length $$\sqrt3$$ and the remaining 6 edges have length $$\sqrt2$$, appears as the alternation of the uniform truncated octahedron.