{"id":3130,"date":"2020-12-17T09:17:40","date_gmt":"2020-12-17T08:17:40","guid":{"rendered":"http:\/\/agora.xtec.cat\/cfa-montseny\/?p=3130"},"modified":"2020-12-17T09:53:38","modified_gmt":"2020-12-17T08:53:38","slug":"postals-de-nadal-matematiques","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/cfa-montseny\/general\/postals-de-nadal-matematiques\/","title":{"rendered":"Postals de Nadal matem\u00e0tiques"},"content":{"rendered":"<p>Aquesta setmana a classe de matem\u00e0tiques de GES hem elaborat postals de Nadal de Sierpi\u0144ski.<\/p>\n<p>La postal que obtenim \u00e9s una representaci\u00f3 tridimensional del triangle de Sierpi\u0144ski, un objecte fractal que va ser introdu\u00eft el 1915 pel matem\u00e0tic polon\u00e8s Waclaw Sierpi\u0144ski. Aquesta figura \u00e9s autosemblant (si ens mirem d&#8217;aprop una part de la figura veiem la figura sencera).<\/p>\n<p>Si estudiem detingudament aquesta figura \u00e9s f\u00e0cil observar-hi les pot\u00e8ncies de 2 (comptant els graons de diferents al\u00e7ades que toquen a un lateral) i les pot\u00e8ncies de 3 (comptant els &#8220;cubs&#8221; de diferents mides).<\/p>\n<p>El text de la Nadala \u00e9s el seg\u00fcent:<\/p>\n<p>Bon any 9\u00b78\u00b77\u00b7(6-5)\u00b74+3\u00b72-1<\/p>\n<p>Sabeu quan dona aquesta operaci\u00f3? Fixeu-vos que hi apareixen els n\u00fameros del 9 al 1 ordenats de forma descendent.<\/p>\n<p>Voleu fer una postal com aquest? Mireu aquest tutorial.<\/p>\n<p><iframe loading=\"lazy\" title=\"Postal de Nadal de Sierpi\u0144ski\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/dWRL3aGgSNE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>Aquest activitat \u00e9s una proposta del grup ADEMGI: <a href=\"http:\/\/ademgi.feemcat.org\/una-infinidad-de-triangulos\/\">http:\/\/ademgi.feemcat.org\/una-infinidad-de-triangulos\/<\/a><\/p>\n<p>Bones festes!<\/p>\n\r\n\t<div class=\"slideshow_container slideshow_container_style-light\" style=\"height: 300px; \" data-slideshow-id=\"3146\" data-style-name=\"style-light\" data-style-version=\"2.3.1\" 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class=\"slideshow_loading_icon\"><\/div>\r\n\t\t\r\n\t\t<div class=\"slideshow_content\" style=\"display: none;\">\r\n\r\n\t\t\t<div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-content\/uploads\/usu661\/2020\/12\/WhatsApp-Image-2020-12-17-at-00.20.30-4.jpeg\" alt=\"\" width=\"1600\" height=\"1200\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-content\/uploads\/usu661\/2020\/12\/WhatsApp-Image-2020-12-17-at-00.25.25.jpeg\" alt=\"\" width=\"2048\" height=\"1536\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-content\/uploads\/usu661\/2020\/12\/WhatsApp-Image-2020-12-17-at-00.20.30-1.jpeg\" alt=\"\" width=\"1600\" height=\"1200\" \/>\r\n\t\t\t\t\t\t\t\t\t\t<div class=\"slideshow_description_box slideshow_transparent\">\r\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t\t\t<div style=\"clear: both;\"><\/div><\/div><div class=\"slideshow_view\">\r\n\t\t\t\t<div class=\"slideshow_slide slideshow_slide_image\">\r\n\t\t\t\t\t\t\t\t\t\t\t<img src=\"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-content\/uploads\/usu661\/2020\/12\/WhatsApp-Image-2020-12-17-at-00.20.30-2.jpeg\" alt=\"\" width=\"1200\" height=\"1600\" 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-->\r\n\r\n\t\t\t<\/div>\r\n\r\n\n","protected":false},"excerpt":{"rendered":"<p>Aquesta setmana a classe de matem\u00e0tiques de GES hem elaborat postals de Nadal de Sierpi\u0144ski.<br \/>\nLa postal que obtenim \u00e9s una representaci\u00f3 tridimensional del triangle de Sierpi\u0144ski, un objecte fractal que va ser introdu\u00eft el 1915 pel matem\u00e0tic polon\u00e8s Waclaw Sierpi\u0144ski. Aquesta figura \u00e9s autosemblant (si&hellip;  <a href=\"https:\/\/agora.xtec.cat\/cfa-montseny\/general\/postals-de-nadal-matematiques\/\" title=\"Read Postals de Nadal matem\u00e0tiques\">Llegeix m\u00e9s\u00bb<\/a><\/p>\n","protected":false},"author":1,"featured_media":3136,"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":[1,64,29],"tags":[],"class_list":["post-3130","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-general","category-ges","category-portada"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/posts\/3130","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/comments?post=3130"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/posts\/3130\/revisions"}],"predecessor-version":[{"id":3148,"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/posts\/3130\/revisions\/3148"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/media\/3136"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/media?parent=3130"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/categories?post=3130"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/cfa-montseny\/wp-json\/wp\/v2\/tags?post=3130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}