A video showing the intersection of the cells of a {3,3,8} H3 honeycomb with the plane-at-infinity in the Poincare...

A video showing the intersection of the cells of a {3,3,8} H3 honeycomb with the plane-at-infinity in the Poincare half-space model. 

A (long) thread titled "Hyperbolic Honeycomb {7,3,3}", discussing the ideas and working out details starts here:  http://games.groups.yahoo.com/group/4D_Cubing/message/2291.  (Further messages in the thread are accessible by scrolling to the bottom.)
http://www.youtube.com/watch?v=ZwZD5zhwJQY

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