Folding polyominoes with holes into a cube Aichholzer, Oswin Akitaya, Hugo A. Cheung, Kenneth C. Demaine, Erik D. Demaine, Martin L. Fekete, Sándor P. Kleist, Linda Kostitsyna, Irina Löffler, Maarten Masárová, Zuzana ; https://orcid.org/0000-0002-6660-1322 Mundilova, Klara Schmidt, Christiane 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 one or several holes to fold into a cube, and conditions under which cube folding is impossible. In particular, we show that all but five special “basic” holes guarantee foldability. Elsevier 2021 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/8317 Aichholzer O, Akitaya HA, Cheung KC, et al. Folding polyominoes with holes into a cube. <i>Computational Geometry: Theory and Applications</i>. 2021;93. doi:<a href="https://doi.org/10.1016/j.comgeo.2020.101700">10.1016/j.comgeo.2020.101700</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.comgeo.2020.101700 info:eu-repo/semantics/altIdentifier/issn/0925-7721 info:eu-repo/semantics/altIdentifier/e-issn/1879-081X info:eu-repo/semantics/altIdentifier/wos/000579185100004 info:eu-repo/semantics/altIdentifier/arxiv/1910.09917 info:eu-repo/semantics/openAccess