Consider the average volume of a tetrahedron picked at random inside an octahedron of unit volume. The answer is difficult to compute analytically, but the mean tetrahedron volume is numerically approximately equal to V^_≈0.01368.

ball tetrahedron picking | cube tetrahedron picking | octahedron | point picking | sphere tetrahedron picking | tetrahedron | tetrahedron tetrahedron picking