Using a mathematical model for self-foldability of rigid origami, we determine which monohedral quadrilateral tilings of the plane are uniquely self-foldable. In particular, the Miura-ori and Chicken Wire patterns are not self-foldable under our definition, but such tilings that are rotationally-symmetric about the midpoints of the tile are uniquely self-foldable.
@article{arxiv.1809.04243,
title = {Self-foldability of monohedral quadrilateral origami tessellations},
author = {Thomas C. Hull and Tomohiro Tachi},
journal= {arXiv preprint arXiv:1809.04243},
year = {2018}
}