Origami folding robot

This origami folding robot from Carnegie Mellon (via Roland Piquepaille) has generated a lot of noise recently. Although I find it pretty cool, it seems to have big limitations: it can't perform all the most basic moves from this origami classification (wikipedia). For example, it can't unfold or flip the paper over, let alone perform more complex techniques like the reverse fold (used for simple models, like the pajarita).

Links:
Ned points out Joseph Wu's great origami site.