{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:47Z","timestamp":1753893827294,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Given a list $1\\times 1, 1\\times a, 1\\times b, \\dots, 1\\times c$ of  rectangles, with $a,b,\\dots,c$ non-negative, when can $1\\times{t}$  be tiled by positive and negative copies of rectangles which are  similar (uniform scaling) to those in the list? We prove that such a tiling exists  iff  $t$ is in the field $Q(a,b,\\dots,c)$.<\/jats:p>","DOI":"10.37236\/1327","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:55:29Z","timestamp":1578707729000},"source":"Crossref","is-referenced-by-count":2,"title":["Shape Tiling"],"prefix":"10.37236","volume":"4","author":[{"given":"Kevin","family":"Keating","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jonathan L.","family":"King","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[1996,11,21]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v4i2r12\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v4i2r12\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T06:15:13Z","timestamp":1579328113000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v4i2r12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,11,21]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2020,1,10]]}},"URL":"https:\/\/doi.org\/10.37236\/1327","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[1996,11,21]]},"article-number":"R12"}}