Polyhedron with twelve faces with eight equilateral triangles and four regular hexagons. It has twenty-four edges and twelve vertices. It is a Hemipolyhedron, a uniform star polyhedron whose some of faces pass through its center.

The surface area of a octahemioctahedron with edge length a is given by the formula:

The volume of a octahemioctahedron with edge length a is given by the formula: