The complement of the Borromean rings in $S^3$ can be obtained by gluing together two (regular) ideal hyperbolic octahedra. I seem to recall a result (possibly bearing Epstein's name?) about other hyperbolic link complements also having this sort of ideal octahedral decomposition but I'm unable to find such a result when Googling about.
Does anyone have any ideas what result I may be thinking of and where to find it?
Thanks in advance.