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Oct 8, 2012 at 9:25 vote accept Trimok
Oct 6, 2012 at 16:59 comment added Igor Rivin It is the Lobachevsky function of the dihedral angle, the Bloch dilogarithm if you use the cross ratio, but the surface of a tetrahedron is the union of four ideal triangles, all of which have area $\pi.$
Oct 6, 2012 at 16:49 comment added Trimok Thanks, Igor. It is surprising because the volume of the ideal tetrahedron is a function (Lobachevski function, I think) of z1,z2,z3,z4
Oct 6, 2012 at 16:46 history answered Igor Rivin CC BY-SA 3.0