{"id":4687,"date":"2020-06-15T13:56:09","date_gmt":"2020-06-15T11:56:09","guid":{"rendered":"http:\/\/agora.xtec.cat\/iesverdaguer\/?p=4687"},"modified":"2021-02-26T13:00:01","modified_gmt":"2021-02-26T12:00:01","slug":"repte-fractals-en-paper","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesverdaguer\/general\/repte-fractals-en-paper\/","title":{"rendered":"Repte &#8220;Fractals en paper&#8221;"},"content":{"rendered":"<p style=\"text-align: left;\">Des dels departaments de Matem\u00e0tiques i Visual i Pl\u00e0stica de l\u2019Institut Verdaguer hem preparat un Repte perqu\u00e8 durant les dues darreres setmanes de curs l\u2019alumnat d\u2019ESO treballi conceptes molt complexes com ara l\u2019infinit, les figures auto-similars, la dimensi\u00f3 fractal i les funcions iteratives des d\u2019una perspectiva manipulativa i de gran bellesa. Aquests patrons es troben a la natura, el cos hum\u00e0, les costes i a qualsevol lloc que ens puguem imaginar. Us deixem alguns exemples del treball dels nostres alumnes, que han constru\u00eft alguns dels fractals m\u00e9s famosos en paper. Esperem que gaudiu tant com nosaltres.<\/p>\n<div class=\"ast-oembed-container \" style=\"height: 100%;\"><iframe loading=\"lazy\" title=\"Fractals by XiaoYing\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/EAeE2b1v7Vo?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><\/div>\n<div id='gallery-1' class='gallery galleryid-4687 gallery-columns-4 gallery-size-medium'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/repte-fractals-en-paper\/attachment\/dav-104\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_152248-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-4694\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_152248-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_152248-768x1024.jpg 768w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-4694'>\n\t\t\t\tFractals by Dounia\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/repte-fractals-en-paper\/attachment\/dav-105\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_152316-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-4695\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_152316-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_152316-768x1024.jpg 768w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-4695'>\n\t\t\t\tFractals by Dounia\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/repte-fractals-en-paper\/attachment\/bty-4\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_152517-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-1-4696\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_152517-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_152517-768x1024.jpg 768w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-4696'>\n\t\t\t\tFractals by Dounia\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/repte-fractals-en-paper\/attachment\/bty-5\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_153106-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"Fractals by Dounia\" aria-describedby=\"gallery-1-4697\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_153106-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_20200606_153106-768x1024.jpg 768w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-1-4697'>\n\t\t\t\tFractals by Dounia\n\t\t\t\t<\/figcaption><\/figure>\n\t\t<\/div>\n\n<div id='gallery-2' class='gallery galleryid-4687 gallery-columns-2 gallery-size-medium'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/repte-fractals-en-paper\/attachment\/img_0241\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_0241-e1592220065429-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"Fractals by Lola\" aria-describedby=\"gallery-2-4699\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_0241-e1592220065429-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_0241-e1592220065429.jpg 480w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-2-4699'>\n\t\t\t\tFractals by Lola\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/repte-fractals-en-paper\/attachment\/img_0261\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_0261-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"Fractals by Lola\" aria-describedby=\"gallery-2-4698\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_0261-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_0261-768x1024.jpg 768w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_0261-e1592222221361.jpg 780w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-2-4698'>\n\t\t\t\tFractals by Lola\n\t\t\t\t<\/figcaption><\/figure>\n\t\t<\/div>\n\n<div id='gallery-3' class='gallery galleryid-4687 gallery-columns-2 gallery-size-medium'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/repte-fractals-en-paper\/attachment\/img_4019\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_4019-300x300.jpg\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-3-4704\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_4019-300x300.jpg 300w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_4019-150x150.jpg 150w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_4019-768x768.jpg 768w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_4019.jpg 1024w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-3-4704'>\n\t\t\t\tFractals by On\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/repte-fractals-en-paper\/attachment\/img_4018\/'><img loading=\"lazy\" decoding=\"async\" width=\"233\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_4018-233x300.jpg\" class=\"attachment-medium size-medium\" alt=\"Fractals by On\" aria-describedby=\"gallery-3-4703\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_4018-233x300.jpg 233w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_4018-768x989.jpg 768w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_4018-795x1024.jpg 795w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/IMG_4018.jpg 1024w\" sizes=\"auto, (max-width: 233px) 100vw, 233px\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-3-4703'>\n\t\t\t\tFractals by On\n\t\t\t\t<\/figcaption><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/repte-fractals-en-paper\/attachment\/20200609_190517\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/20200609_190517-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"\" aria-describedby=\"gallery-3-4706\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/20200609_190517-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/20200609_190517-768x1024.jpg 768w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2020\/06\/20200609_190517.jpg 1024w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div>\n\t\t\t\t<figcaption class='wp-caption-text gallery-caption' id='gallery-3-4706'>\n\t\t\t\tFractals by Loubna\n\t\t\t\t<\/figcaption><\/figure>\n\t\t<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Des dels departaments de Matem\u00e0tiques i Visual i Pl\u00e0stica de l\u2019Institut Verdaguer hem preparat un Repte perqu\u00e8 durant les dues darreres setmanes de curs l\u2019alumnat d\u2019ESO treballi conceptes molt complexes com ara l\u2019infinit, les figures auto-similars, la dimensi\u00f3 fractal i les funcions iteratives des d\u2019una perspectiva manipulativa i de gran bellesa. Aquests patrons es troben [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4698,"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":[3,19,20,1,29],"tags":[],"class_list":["post-4687","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-eso","category-eso-3a","category-eso-3b","category-general","category-portada"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/posts\/4687","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/comments?post=4687"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/posts\/4687\/revisions"}],"predecessor-version":[{"id":4710,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/posts\/4687\/revisions\/4710"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/media\/4698"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/media?parent=4687"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/categories?post=4687"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/tags?post=4687"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}