this is for sure an interesting movement. an old system (from the time of renaissance, IIRC) rediscovered and implemented with modern means.
what i find really interesting is how such a crystoptical system (origami lens sounds misleading and quite wrong, sorry) behaves in phase contrast transformation... if it's just mirrors of molecular thikness layers, then i would think that even aberrations can be eliminated... and this would lead not only to cheap mini-objectives but also to excellent reproducing objectives for professional photography... especially in the wide-lens range, where good optical systems are hard to make.