Sphere tetrahedron picking is the selection of quadruples of of points corresponding to vertices of a tetrahedron with vertices on the surface of a sphere. n random tetrahedra can be picked on a unit sphere in the Wolfram Language using the function RandomPoint[Sphere[], {n, 4}].

ball tetrahedron picking | cube tetrahedron picking | geometric probability | point picking | sphere line picking | spherical code | tetrahedron