{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:34:59Z","timestamp":1759638899314,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We examine packing of $n$ congruent spheres in a cube when $n$ is\u00a0close but less than the number of spheres in a regular cubic close-packed\u00a0(ccp) arrangement of $\\lceil p^{3}\/2\\rceil$ spheres. For this family\u00a0of packings, the previous best-known arrangements were usually derived\u00a0from a ccp by omission of a certain number of spheres without changing\u00a0the initial structure. In this paper, we show that better arrangements\u00a0exist for all $n\\leq\\lceil p^{3}\/2\\rceil-2$. We introduce an optimization\u00a0method to reveal improvements of these packings, and present many\u00a0new improvements for $n\\leq4629$.<\/jats:p>","DOI":"10.37236\/3784","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:32:14Z","timestamp":1578702734000},"source":"Crossref","is-referenced-by-count":3,"title":["On Limits of Dense Packing of Equal Spheres in a Cube"],"prefix":"10.37236","volume":"22","author":[{"given":"Milos","family":"Tatarevic","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2015,2,16]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i1p35\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i1p35\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:37:31Z","timestamp":1579257451000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v22i1p35"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,16]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2015,1,2]]}},"URL":"https:\/\/doi.org\/10.37236\/3784","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2015,2,16]]},"article-number":"P1.35"}}