{"id":3244,"date":"2017-12-19T21:56:15","date_gmt":"2017-12-19T20:56:15","guid":{"rendered":"http:\/\/agora.xtec.cat\/iesdesales\/?p=3244"},"modified":"2017-12-19T21:57:24","modified_gmt":"2017-12-19T20:57:24","slug":"un-arbre-de-nadal-matematic","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesdesales\/general\/un-arbre-de-nadal-matematic\/","title":{"rendered":"UN ARBRE DE NADAL MATEM\u00c0TIC"},"content":{"rendered":"<p>Aquests dies l\u2019alumnat de 3r d\u2019ESO amb la col\u00b7laboraci\u00f3 dels alumnes de 4t d\u2019ESO D han elaborat l\u2019 arbre de Nadal que podem veure en el vest\u00edbul de l\u2019Institut. Est\u00e0 format per 256 pir\u00e0mides de cartolina, algunes decorades amb motius nadalencs i en d\u2019altres apareixen els seus noms.<br \/>\nAquest arbre t\u00e9 forma de fractal, concretament \u00e9s una pir\u00e0mide de Sierpinski.<br \/>\nI us preguntareu, qu\u00e8 \u00e9s un fractal? Doncs un fractal \u00e9s un objecte geom\u00e8tric en el qu\u00e8 cadascuna de les seves parts \u00e9s igual a l\u2019objecte sencer. Si us fixeu en l\u2019arbre del vest\u00edbul, veureu que est\u00e0 format per 4 pir\u00e0mides s\u00f3n id\u00e8ntiques a la pir\u00e0mide gran. Cadascuna d\u2019elles, a la vegada, est\u00e0 formada per pir\u00e0mides m\u00e9s petites amb la mateixa forma. Aquest procediment es podria continuar indefinidament.<br \/>\nEl model de fractal apareix en moltes situacions de la vida real com, per exemple, en la forma d\u2019alguns teixits d\u2019\u00e9ssers vius, els llamps, flocs de neu, les costes, alguns minerals,&#8230; i t\u00e9 moltes aplicacions en l\u2019enginyeria, el cinema, la m\u00fasica&#8230;<br \/>\nUn projecte col\u00b7laboratiu i interdisciplinar com \u00e9s la construcci\u00f3 d\u2019aquest fractal ens ha servit per apropar, d\u2019una manera l\u00fadica, les matem\u00e0tiques als nostres alumnes.<br \/>\nEsperem que aquesta activitat els hagi agradat i l\u2019hagin trobat interessant.<\/p>\n<p><a href=\"https:\/\/photos.app.goo.gl\/SlO9XBHl1luVopRa2\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-3246\" src=\"http:\/\/agora.xtec.cat\/iesdesales\/wp-content\/uploads\/usu678\/2017\/12\/IMG_20171213_150657017-COLLAGE-1024x1024.jpg\" alt=\"\" width=\"1024\" height=\"1024\" srcset=\"https:\/\/agora.xtec.cat\/iesdesales\/wp-content\/uploads\/usu678\/2017\/12\/IMG_20171213_150657017-COLLAGE-1024x1024.jpg 1024w, https:\/\/agora.xtec.cat\/iesdesales\/wp-content\/uploads\/usu678\/2017\/12\/IMG_20171213_150657017-COLLAGE-150x150.jpg 150w, https:\/\/agora.xtec.cat\/iesdesales\/wp-content\/uploads\/usu678\/2017\/12\/IMG_20171213_150657017-COLLAGE-300x300.jpg 300w, https:\/\/agora.xtec.cat\/iesdesales\/wp-content\/uploads\/usu678\/2017\/12\/IMG_20171213_150657017-COLLAGE-768x768.jpg 768w, https:\/\/agora.xtec.cat\/iesdesales\/wp-content\/uploads\/usu678\/2017\/12\/IMG_20171213_150657017-COLLAGE.jpg 2046w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><br \/>\nDepartament de Matem\u00e0tiques<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aquests dies l\u2019alumnat de 3r d\u2019ESO amb la col\u00b7laboraci\u00f3 dels alumnes de 4t d\u2019ESO D han elaborat l\u2019 arbre de Nadal que podem veure en el vest\u00edbul de l\u2019Institut. Est\u00e0 format per 256 pir\u00e0mides de cartolina, algunes decorades amb motius nadalencs i en d\u2019altres apareixen&hellip;  <a href=\"https:\/\/agora.xtec.cat\/iesdesales\/general\/un-arbre-de-nadal-matematic\/\" title=\"Read UN ARBRE DE NADAL MATEM\u00c0TIC\">Llegeix m\u00e9s\u00bb<\/a><\/p>\n","protected":false},"author":1,"featured_media":3246,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[3,6,7,1,29],"tags":[],"class_list":["post-3244","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-eso","category-eso-3","category-eso-4","category-general","category-portada"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/posts\/3244","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/comments?post=3244"}],"version-history":[{"count":2,"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/posts\/3244\/revisions"}],"predecessor-version":[{"id":3247,"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/posts\/3244\/revisions\/3247"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/media\/3246"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/media?parent=3244"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/categories?post=3244"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesdesales\/wp-json\/wp\/v2\/tags?post=3244"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}