Automating Rigid Origami Design

While rigid origami has shown potential in a large diversity of engineering applications, current rigid origami crease pattern designs mostly rely on known tessellations. This leaves a potential gap in performance as the space of rigidly foldable crease patterns is far larger than these tessellations would suggest. In this work, we build upon the recently developed principle of three units method to formulate rigid origami design as a discrete optimization problem. Our implementation allows for a simple definition of diverse objectives and thereby expands the potential of rigid origami further to optimized, application-specific crease patterns. We benchmark a diverse set of search methods in several shape approximation tasks to validate our model and showcase the flexibility of our formulation through four illustrative case studies. Results show that using our proposed problem formulation one can successfully approximate a variety of target shapes. Moreover, by specifying custom reward functions, we can find patterns, which result in novel, foldable designs for everyday objects.