{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:04Z","timestamp":1753893784313,"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>An $(n_{k})$ configuration is a collection of points and straight lines, usually in the Euclidean plane, so that each point lies on $k$ lines and each line passes through $k$ points; such a configuration will be called symmetric if it possesses non-trivial geometric symmetry.  Although examples of symmetric $(n_{3})$ configurations with continuous parameters are known, to this point, all known connected infinite families of $(n_{4})$ configurations with non-trivial geometric symmetry had the property that each set of discrete parameters describing the configuration corresponded to a single $(n_{4})$ configuration. This paper presents several new classes of highly symmetric $(n_{4})$ configurations which have at least one continuous parameter; that is, the configurations are movable.<\/jats:p>","DOI":"10.37236\/1130","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:55:41Z","timestamp":1578718541000},"source":"Crossref","is-referenced-by-count":7,"title":["Movable $(n_{4})$ Configurations"],"prefix":"10.37236","volume":"13","author":[{"given":"Leah Wrenn","family":"Berman","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2006,11,17]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r104\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r104\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:06:38Z","timestamp":1579320398000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v13i1r104"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,11,17]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2006,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1130","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2006,11,17]]},"article-number":"R104"}}