The Klein Bottle is a bit like a mobius strip but without the edge. There are many flavors that a bottle can take so this model is only one of many representations that can be imagined.
A really fun feature about this shape is that you can fill it with liquid on the same face that the model can then rest on.
I haven't tried to print the model on anything but an Up!, but I imagine that it could be modified in a way that wouldn't require the support material for the "handle". I printed it with the fine stepping enabled in hopes that it would make for a very smooth outer surface. When I get time I'll revisit with the normal print settings.