{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,11]],"date-time":"2025-09-11T22:40:11Z","timestamp":1757630411806,"version":"3.44.0"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We give a combinatorial proof of a lattice point identity involving a lattice polygon and its dual, generalizing the formula $\\operatorname{area}\\left(\\Delta \\right) + \\operatorname{area}\\left(\\Delta^* \\right) = 6$ for reflexive $\\Delta$. The identity is equivalent to the stringy Libgober-Wood identity for toric log del Pezzo surfaces.<\/jats:p>","DOI":"10.37236\/12783","type":"journal-article","created":{"date-parts":[[2025,9,10]],"date-time":"2025-09-10T17:49:41Z","timestamp":1757526581000},"source":"Crossref","is-referenced-by-count":0,"title":["LDP Polygons and the Number 12 Revisited"],"prefix":"10.37236","volume":"32","author":[{"given":"Ulrike","family":"B\u00fccking","sequence":"first","affiliation":[]},{"given":"Christian","family":"Haase","sequence":"additional","affiliation":[]},{"given":"Karin","family":"Schaller","sequence":"additional","affiliation":[]},{"given":"Jan-Hendrik","family":"De Wiljes","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2025,9,5]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v32i3p42\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v32i3p42\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,9,10]],"date-time":"2025-09-10T17:49:42Z","timestamp":1757526582000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v32i3p42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,5]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2025,7,4]]}},"URL":"https:\/\/doi.org\/10.37236\/12783","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,9,5]]},"article-number":"P3.42"}}