{"id":3830,"date":"2021-11-30T08:10:16","date_gmt":"2021-11-30T07:10:16","guid":{"rendered":"https:\/\/agora.xtec.cat\/ieslabastida\/?p=3830"},"modified":"2021-11-29T10:45:34","modified_gmt":"2021-11-29T09:45:34","slug":"el-triangle-de-sierpinski","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/ieslabastida\/general\/el-triangle-de-sierpinski\/","title":{"rendered":"El triangle de Sierpinski"},"content":{"rendered":"

Els alumnes de 2n d\u2019ESO de La Bastida han descobert un tresor molt curi\u00f3s a la cova d\u2019Al\u00ed Bab\u00e0 mentre feien el projecte 1 de matem\u00e0tiques: El triangle de Sierpinski!!!<\/strong><\/p>\n

Aquest triangle \u00e9s un objecte fractal i la seva construcci\u00f3 ens ha ajudat a entendre una mica millor les pot\u00e8ncies.
\nTot va comen\u00e7ar amb 1 llauna\u2026<\/p>\n

\"Una<\/a>
Nivell 0: 3\u00ba = 1 LLAUNA<\/figcaption><\/figure>\n

 <\/p>\n

Si ajuntem tres llaunes formant un triangle:<\/p>\n

\"Tres<\/a>
Nivell 1: 3\u00b9 = 3 LLAUNES<\/figcaption><\/figure>\n

I si ajuntem tres triangles de nivell 1:<\/p>\n

\"Nou<\/a>
Nivell 2: 3\u00b2 = 9 llaunes<\/figcaption><\/figure>\n

I qu\u00e8 passa si ajuntem tres triangles de nivell 2?<\/p>\n

\"27<\/a>
Nivell 3: 3\u00b3 = 27 llaunes<\/figcaption><\/figure>\n

Com creus que van fer els alumnes el triangle del nivell 4<\/strong>? Exacte! Ajuntant tres<\/strong> triangles del nivell 3.
\nSabries dir tu quantes llaunes han necessitat reunir cadascuna de les classes per construir el seu triangle de nivell 4? Com ho faries sense anar contant-les una a una?<\/p>\n

\"moltes<\/a><\/p>\n

I quantes llaunes hi ha en total en la construcci\u00f3 del triangle del nivell 5<\/strong> fet adjuntant el tres triangles de cadascuna de les classes de 2n d’ESO?<\/p>\n

\"projecte<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Els alumnes de 2n d\u2019ESO de La Bastida han descobert un tresor molt curi\u00f3s a la cova d\u2019Al\u00ed Bab\u00e0: El triangle de Sierpinski!!!<\/p>\n","protected":false},"author":1,"featured_media":3840,"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,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[1,29],"tags":[309,41,310],"class_list":["post-3830","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-general","category-portada","tag-2n-deso","tag-matematiques","tag-triangle-de-sierpinski"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/posts\/3830","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/comments?post=3830"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/posts\/3830\/revisions"}],"predecessor-version":[{"id":3839,"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/posts\/3830\/revisions\/3839"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/media\/3840"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/media?parent=3830"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/categories?post=3830"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/ieslabastida\/wp-json\/wp\/v2\/tags?post=3830"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}