Pinson, Matthew B.Stern, MenachemCarruthers Ferrero, AlexandraWitten, Thomas A.Chen, ElizabethMurugan, Arvind2017-07-242017Pinson, Matthew B., Menachem Stern, Alexandra Carruthers Ferrero, Thomas A. Witten, Elizabeth Chen, and Arvind Murugan. 2017. “Self-folding origami at any energy scale.” Nature Communications 8 (1): 15477. doi:10.1038/ncomms15477. http://dx.doi.org/10.1038/ncomms15477.http://nrs.harvard.edu/urn-3:HUL.InstRepos:33490938Programmable stiff sheets with a single low-energy folding motion have been sought in fields ranging from the ancient art of origami to modern meta-materials research. Despite such attention, only two extreme classes of crease patterns are usually studied; special Miura-Ori-based zero-energy patterns, in which crease folding requires no sheet bending, and random patterns with high-energy folding, in which the sheet bends as much as creases fold. We present a physical approach that allows systematic exploration of the entire space of crease patterns as a function of the folding energy. Consequently, we uncover statistical results in origami, finding the entropy of crease patterns of given folding energy. Notably, we identify three classes of Mountain-Valley choices that have widely varying ‘typical' folding energies. Our work opens up a wealth of experimentally relevant self-folding origami designs not reliant on Miura-Ori, the Kawasaki condition or any special symmetry in space.en-USJournal Article2017-07-2410.1038/ncomms15477