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Moreover, for t<\/jats:italic> slightly greater than 1\/2, squares of sidelengths 1, \n \n $$2^{-t}$$<\/jats:tex-math>\n \n \n 2<\/mml:mn>\n \n -<\/mml:mo>\n t<\/mml:mi>\n <\/mml:mrow>\n <\/mml:msup>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>, \n \n $$3^{-t}$$<\/jats:tex-math>\n \n \n 3<\/mml:mn>\n \n -<\/mml:mo>\n t<\/mml:mi>\n <\/mml:mrow>\n <\/mml:msup>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>, \n \n $$4^{-t},\\ldots \\ $$<\/jats:tex-math>\n \n \n \n 4<\/mml:mn>\n \n -<\/mml:mo>\n t<\/mml:mi>\n <\/mml:mrow>\n <\/mml:msup>\n ,<\/mml:mo>\n \u2026<\/mml:mo>\n \n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> can be packed perfectly into a square \n \n $$S_t$$<\/jats:tex-math>\n \n \n S<\/mml:mi>\n t<\/mml:mi>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> in such a way that some squares have a side parallel to a diagonal of \n \n $$S_t$$<\/jats:tex-math>\n \n \n S<\/mml:mi>\n t<\/mml:mi>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> and the remaining squares have a side parallel to a side of \n \n $$S_t$$<\/jats:tex-math>\n \n \n S<\/mml:mi>\n t<\/mml:mi>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>.<\/jats:p>","DOI":"10.1007\/s00454-024-00654-w","type":"journal-article","created":{"date-parts":[[2024,5,11]],"date-time":"2024-05-11T18:01:48Z","timestamp":1715450508000},"page":"286-301","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Perfectly Packing an Equilateral Triangle by Equilateral Triangles of Sidelengths $$n^{-1\/2-\\epsilon }$$"],"prefix":"10.1007","volume":"74","author":[{"given":"Janusz","family":"Januszewski","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6278-8599","authenticated-orcid":false,"given":"\u0141ukasz","family":"Zielonka","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,5,11]]},"reference":[{"issue":"2","key":"654_CR1","doi-asserted-by":"publisher","first-page":"353","DOI":"10.1006\/jcta.1996.0083","volume":"75","author":"K Ball","year":"1996","unstructured":"Ball, K.: On packing unequal squares. 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