Cyril Crassin's stuff is also interesting and it's here, now, running dynamically on GPUs. See: http://www.youtube.com/watch?v=fAsg_xNzhcQ

See his papers page: http://artis.imag.fr/Membres/Cyril.Crassin/

I am curious what methods Euclidean are using, however.

You see all of the worlds. Each copy of you has a brain state encoding the history of the path he saw. Each of you simultaneously remember being in their own unique history and are unaware of the other histories.