Flat origami is the folding of flat paper in such a way that the finished object lies in a plane. In their recent paper Flat origami is Turing Complete, Thomas C. Hull and Inna Zakharevich prove that it is possible to view flat origami as a Turing complete computational device. This means that, in principle, it is possible to use flat origami to compute anything that a traditional computer is able to compute.
My assumption is that you’d need to actually fold these to work and that by selecting the inputs and laying them flat, the output naturally also lays flat. If there is a way to properly read them via the diagrams I’d love to know though.