So I guess my reward for working night and day on the Makerbot Academy Math Manipulative Challenge for a week is that I can now post each model separately on this blog, which should take care of a week or two of my year of prints. Today, the cube:
Tinkercad link: https://tinkercad.com/things/iJ8L0vo1gTm-hinged-cube
Thingiverse link: http://www.thingiverse.com/thing:185859
Settings: Makerware .3mm/low in 55 minutes with no raft or supports, on a Replicator 2. Prints as one piece with six squares hinged in place to make a net that folds into a cube.