Okay, because of yesterday we now have a hundred thin rings to keep track of, so today we built BozarthPrime's Dice Box, with the top and the lip for the top removed.
Tinkercad link: https://tinkercad.com/things/exMLHD7DgC6-day-20-lattice-box
Thingiverse link: http://www.thingiverse.com/make:47445
Settings: MakerWare "low" with no raft and no supports. Very nice to have a print with an open lattice that needs no support material at all!
Technical note: As you can see in the picture, there is some threading between the diagonal rungs of the lattice as printed on the Replicator 2. We also tried printing this on the Afinia (with "helper disks" at the corners) but couldn't keep it from using supports (even with "<10 degrees" selected, for some reason).