Folding polyominoes with holes into a cube Aichholzer, Oswin Akitaya, Hugo A Cheung, Kenneth C Demaine, Erik D Demaine, Martin L Fekete, Sandor P Kleist, Linda Kostitsyna, Irina Löffler, Maarten Masárová, Zuzana ; https://orcid.org/0000-0002-6660-1322 Mundilova, Klara Schmidt, Christiane ddc:500 When can a polyomino piece of paper be folded into a unit cube? Prior work studied tree-like polyominoes, but polyominoes with holes remain an intriguing open problem. We present sufficient conditions for a polyomino with hole(s) to fold into a cube, and conditions under which cube folding is impossible. In particular, we show that all but five special simple holes guarantee foldability. Canadian Conference on Computational Geometry 2019 info:eu-repo/semantics/conferenceObject doc-type:conferenceObject text http://purl.org/coar/resource_type/c_5794 https://research-explorer.ista.ac.at/record/6989 Aichholzer O, Akitaya HA, Cheung KC, et al. Folding polyominoes with holes into a cube. In: <i>Proceedings of the 31st Canadian Conference on Computational Geometry</i>. Canadian Conference on Computational Geometry; 2019:164-170. eng info:eu-repo/semantics/altIdentifier/arxiv/1910.09917 info:eu-repo/semantics/openAccess