{"id":10022,"date":"2019-01-11T13:33:30","date_gmt":"2019-01-11T12:33:30","guid":{"rendered":"http:\/\/agora.xtec.cat\/insvescomtatdecabrera\/?p=10022"},"modified":"2019-01-11T13:33:30","modified_gmt":"2019-01-11T12:33:30","slug":"construccio-del-fractal-triangle-de-sierpinski","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/eso\/construccio-del-fractal-triangle-de-sierpinski\/","title":{"rendered":"Construcci\u00f3 del fractal \u201ctriangle de sierpinski\u201d"},"content":{"rendered":"

<\/p>\n

Construcci\u00f3 del fractal \u201ctriangle de sierpinski\u201d<\/h1>\n

Els departaments de matem\u00e0tiques i tecnologia han decidit treballar plegats en un petit projecte STEM (science, Technology, Engeenering, Mathematics) amb la finalitat de crear una petita estructura per decorar l\u2019institut i aprendre de forma diferent i divertida.<\/p>\n

Els departaments de matem\u00e0tiques i tecnologia van proposar una activitat als alumnes de 3r d\u2019ESO per celebrar la setmana de la ci\u00e8ncia tot treballant les successions i donant a con\u00e8ixer els fractals i la seva pres\u00e8ncia a la naturalesa com ara en el rumanesco, una verdura de la fam\u00edlia de les cols on es pot apreciar que cadascuna de les seves flors reprodueixen la mateixa estructura a diferents escales.<\/p>\n

Per fer-ho, van estudiar i construir, amb llaunes de refresc, un fractal anomenat Triangle de Sierpinski <\/strong>seguint el patr\u00f3 de construcci\u00f3 d\u2019aquest fractal.<\/p>\n

<\/p>\n

Les 3 primeres iteracions del proc\u00e9s de construcci\u00f3 del Triangle de Sierpinski.<\/p>\n

Un cop els alumnes havien treballat el projecte des de matem\u00e0tiques, van utilitzar els seus coneixements de successions per calcular el\u00a0 nombre de llaunes que necessitarien, l\u2019espai que ocuparia l\u2019estructura, etc. i van comen\u00e7ar amb la construcci\u00f3 del triangle al taller de tecnologia. Per fer-ho, havien d\u2019unir les llaunes de refresc amb silicona o cinta de doble cara i anar formant triangles bases, triangles equil\u00e0ters formats per tres llaunes que posteriorment havien d\u2019anar unint entre ells per anar formant, a cada pas de la construcci\u00f3, un altre triangle de major mesura fins a crear el seu Triangle de Sierpinski.<\/p>\n

Judit Rodr\u00edguez, professora de matem\u00e0tiques<\/strong><\/em><\/p>\n

\u00c0lbum de fotos<\/a>
\n\"\"<\/a><\/p>\n

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

Construcci\u00f3 del fractal \u201ctriangle de sierpinski\u201d Els departaments de matem\u00e0tiques i tecnologia han decidit treballar plegats en un petit projecte […]<\/p>\n","protected":false},"author":3,"featured_media":0,"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":[3,6,87,86,444],"tags":[480,41,161,481],"class_list":["post-10022","post","type-post","status-publish","format-standard","hentry","category-eso","category-eso-3","category-matematiques","category-tecnologia","category-setcietec18","tag-fractals","tag-matematiques","tag-setmana-de-la-ciencia","tag-sierpinski"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/wp-json\/wp\/v2\/posts\/10022","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/wp-json\/wp\/v2\/comments?post=10022"}],"version-history":[{"count":1,"href":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/wp-json\/wp\/v2\/posts\/10022\/revisions"}],"predecessor-version":[{"id":10023,"href":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/wp-json\/wp\/v2\/posts\/10022\/revisions\/10023"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/wp-json\/wp\/v2\/media?parent=10022"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/wp-json\/wp\/v2\/categories?post=10022"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/insvescomtatdecabrera\/wp-json\/wp\/v2\/tags?post=10022"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}