This polyhedron, a tetrackis tetrahedron, can be created by raising pyramids on the sides of a cube, with their height being 1/4 of the cube edge. It is a Catalan solid, that is, a dual of an Archimedian solid, the truncated octahedron. All of its sides are equal isosceles triangles. It is the crystal pattern of gold.
The 14 struts from the vertex to the center are included, and are at the vector angles of the cube corners and faces.