{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T09:00:23Z","timestamp":1775466023211,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We show that every ridge unfolding of an $n$-cube is without self-overlap, yielding a valid net.\u00a0 The results are obtained by developing machinery that translates cube unfolding into combinatorial frameworks. \u00a0Moreover, the geometry of the bounding boxes of these cube nets are classified using integer partitions, as well as the combinatorics of\u00a0 path unfoldings seen through the lens of chord diagrams.<\/jats:p>","DOI":"10.37236\/9796","type":"journal-article","created":{"date-parts":[[2020,12,15]],"date-time":"2020-12-15T08:21:23Z","timestamp":1608020483000},"source":"Crossref","is-referenced-by-count":1,"title":["Unfolding Cubes: Nets, Packings, Partitions, Chords"],"prefix":"10.37236","volume":"27","author":[{"given":"Kristin","family":"DeSplinter","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Satyan","family":"Devadoss","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jordan","family":"Readyhough","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bryce","family":"Wimberly","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2020,12,11]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v27i4p41\/8222","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v27i4p41\/8222","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,12,15]],"date-time":"2020-12-15T08:21:24Z","timestamp":1608020484000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v27i4p41"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,12,11]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2020,10,2]]}},"URL":"https:\/\/doi.org\/10.37236\/9796","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,12,11]]},"article-number":"P4.41"}}