The hyperbolic space $\mathbb H3$, has a boundary $\mathbb CP1$.

A ideal tetrahedron in $\mathbb H3$, is a tetrahedron, where the four vertices are on the boundary $\mathbb CP1$.

The four vertices of the tetrahedron may be parametrized by four complex $z1, z2, z3, z4$

What is the surface of this ideal tetrahedron, as function of $z1, z2, z3, z4$ ?.