{"id":3644,"date":"2025-07-06T16:11:14","date_gmt":"2025-07-06T16:11:14","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3644"},"modified":"2025-07-12T15:05:41","modified_gmt":"2025-07-12T15:05:41","slug":"la-estrella-del-dodecagono","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2025\/07\/06\/la-estrella-del-dodecagono\/","title":{"rendered":"La estrella del dodec\u00e1gono"},"content":{"rendered":"<pre>Problema 9 del concurso Marat\u00f3 de problemes 2025\nSe dirige a una edad de: 14-15 a\u00f1os<\/pre>\n\n\n<p>A partir del dodec\u00e1gono regular, construimos una figura inscribiendo un cuadrado, y usando los lados como ejes de simetr\u00eda para los tres lados consecutivos que quedan fuera del cuadrado, de forma que construimos el pol\u00edgono no convexo de 12 lados que vemos en la imagen.<\/p>\n\n\n\n<p>Siendo que el lado del dodec\u00e1gono mide 1 cm, calcula el \u00e1rea en cm\u00b2 del \u00e1rea de la estrella.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2025\/07\/389.estrella.png\" alt=\"\" class=\"wp-image-3645\" \/><\/figure>\n\n\n\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2025\/07\/12\/solucion-a-la-estrella-del-dodecagono\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 9 del concurso Marat\u00f3 de problemes 2025 Se dirige a una edad de: 14-15 a\u00f1os A partir del dodec\u00e1gono regular, construimos una figura inscribiendo un cuadrado, y usando los lados como ejes de simetr\u00eda para los tres lados consecutivos que quedan fuera del cuadrado, de forma que construimos el pol\u00edgono no convexo de 12 [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242030,2242026,1738,2849],"tags":[],"class_list":["post-3644","post","type-post","status-publish","format-standard","hentry","category-marato","category-marato-de-problemes","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3644","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=3644"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3644\/revisions"}],"predecessor-version":[{"id":3652,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3644\/revisions\/3652"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3644"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3644"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}