{"id":24943,"date":"2023-12-20T13:35:38","date_gmt":"2023-12-20T12:35:38","guid":{"rendered":"https:\/\/agora.xtec.cat\/iesvilatzara\/?p=24943"},"modified":"2025-09-24T17:12:22","modified_gmt":"2025-09-24T15:12:22","slug":"el-triangle-de-sierpinki","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesvilatzara\/noticies-portada\/el-triangle-de-sierpinki\/","title":{"rendered":"El triangle de Sierpinski"},"content":{"rendered":"<p>El triangle de Sierpinski \u00e9s una figura fractal que es construeix a base d&#8217;iteracions que consisteixen en dividir un triangle inicial en quatre triangles i eliminar el triangle de l&#8217;interior. Aquest procediment es pot anar repetint tantes vegades com vulguem en cadascun dels triangles resultants, creant aix\u00ed una geometria fractal.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-24952\" src=\"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/triang2.gif\" alt=\"\" width=\"461\" height=\"268\" \/><\/p>\n<p>Amb l&#8217;alumnat de 1r d&#8217;ESO s&#8217;ha introdu\u00eft aquest triangle per treballar les fraccions i com aquestes es relacionen entre els diferents triangles de Sierpinki segons la seva iteraci\u00f3. Despr\u00e9s ens hem animat a recrear un triangle de Sierpinki amb taps de suro fina a utilitzar-ne 2187, que \u00e9s el resultat de multiplicar 3x3x3x3x3x3x3.<\/p>\n<p>Com a cloenda del trimestre, avui presentem el triangle a tota la comunitat educativa.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-24960 alignleft\" src=\"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_124603-1024x768.jpg\" alt=\"\" width=\"540\" height=\"405\" srcset=\"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_124603-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_124603-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_124603-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_124603-1536x1152.jpg 1536w, https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_124603-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_124603.jpg 1632w\" sizes=\"auto, (max-width: 540px) 100vw, 540px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"wp-image-24961 alignnone\" src=\"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_125026-768x1024.jpg\" alt=\"\" width=\"305\" height=\"406\" srcset=\"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_125026-768x1024.jpg 768w, https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_125026-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_125026-1152x1536.jpg 1152w, https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_125026-1536x2048.jpg 1536w, https:\/\/agora.xtec.cat\/iesvilatzara\/wp-content\/uploads\/usu356\/2023\/12\/IMG_20231220_125026.jpg 1560w\" sizes=\"auto, (max-width: 305px) 100vw, 305px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: left;\">Moltes gr\u00e0cies per les vostres aportacions en taps!!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>El triangle de Sierpinski \u00e9s una figura fractal que es construeix a base d&#8217;iteracions que consisteixen en dividir un triangle inicial en quatre triangles i eliminar el triangle de l&#8217;interior. Aquest procediment es pot anar repetint tantes vegades com vulguem en cadascun dels triangles resultants, creant aix\u00ed una geometria fractal.&hellip;  <a href=\"https:\/\/agora.xtec.cat\/iesvilatzara\/noticies-portada\/el-triangle-de-sierpinki\/\" title=\"Read El triangle de Sierpinski\">Llegeix m\u00e9s\u00bb<\/a><\/p>\n","protected":false},"author":1,"featured_media":24960,"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":[65,63,1,72],"tags":[],"class_list":["post-24943","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-eso-1","category-activitats","category-noticies-portada","category-raco-del-dia-a-dia"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/posts\/24943","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/comments?post=24943"}],"version-history":[{"count":2,"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/posts\/24943\/revisions"}],"predecessor-version":[{"id":29001,"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/posts\/24943\/revisions\/29001"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/media\/24960"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/media?parent=24943"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/categories?post=24943"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesvilatzara\/wp-json\/wp\/v2\/tags?post=24943"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}