{"id":4524,"date":"2021-06-19T12:06:24","date_gmt":"2021-06-19T11:06:24","guid":{"rendered":"http:\/\/www2.ual.es\/neotrie\/?p=4524"},"modified":"2026-05-27T11:46:31","modified_gmt":"2026-05-27T10:46:31","slug":"nueva-herramienta-de-fractales","status":"publish","type":"post","link":"https:\/\/www2.ual.es\/neotrie\/nueva-herramienta-de-fractales\/","title":{"rendered":"Nueva herramienta de fractales"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">La nueva herramienta de fractales nos va a permitir generar fractales autosimilares f\u00e1cilmente. Los estudiantes tendr\u00e1n que introducir los par\u00e1metros de generaci\u00f3n (que se dan en la primera iteraci\u00f3n) en la herramienta: <\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Opci\u00f3n 1: Fijando el factor de escalado y posiciones de las copias de la primera iteraci\u00f3n, tal y como hemos visto al <a href=\"http:\/\/www2.ual.es\/neotrie\/el-triangulo-de-sierpinski\/\">final de la entrada del tri\u00e1ngulo de Sierpinski<\/a> (ver tambi\u00e9n el fractal de Vicsek abajo).<\/li><li>Opci\u00f3n 2: Fijando los cambios de referencia que transforman cada una de las copias. En esta opci\u00f3n tocamos el origen de cada referencia y finalmente un v\u00e9rtice de la figura a fractalizar.<\/li><li>Opci\u00f3n 3: Fijando los cambios de referencia que transforman cada una de las copias. En esta opci\u00f3n tocamos los 4 vertices de cada referencia, en orden, y finalmente uno de la figura a fractalizar.<\/li><\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"http:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2021\/06\/image-3-1024x576.png\" alt=\"\" class=\"wp-image-4566\" srcset=\"http:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2021\/06\/image-3-980x551.png 980w, http:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2021\/06\/image-3-480x270.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><figcaption>Con la opci\u00f3n 1, tocamos primero el centro de una cruz 3d, y despu\u00e9s el centro de una esfera. El factor de homotecia debe ser cercano a 1\/3, para que sea el <a href=\"https:\/\/es.wikipedia.org\/wiki\/Fractal_de_Vicsek\">fractal de Vicsek<\/a>. Normalmente dicho fractal se realiza con cuadrados (en 2d) o cubos (en 3d), aqu\u00ed lo hemos realizado con una esfera.<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.youtube.com\/watch?v=WSIAImWOohw\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"http:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2021\/06\/image-2-1024x576.png\" alt=\"\" class=\"wp-image-4526\" srcset=\"http:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2021\/06\/image-2-980x551.png 980w, http:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2021\/06\/image-2-480x270.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) and (max-width: 980px) 980px, (min-width: 981px) 1024px, 100vw\" \/><\/a><figcaption>Con la opci\u00f3n 2, podemos fijar la afinidad deseada de cada copia en la primera iteraci\u00f3n tocando con la herramienta vertices de las referencias y por \u00faltimo el v\u00e9rtice de la figura a fractalizar. <\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"\u00c1rbol de Pit\u00e1goras en realidad virtual\" width=\"1080\" height=\"608\" src=\"https:\/\/www.youtube.com\/embed\/AK_EXe7ikRA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>\n<\/div><figcaption>En la opci\u00f3n 3, se pueden elegir las referencias tocando los 4 v\u00e9rtices de cada una de ellas en la propia 1a iteraci\u00f3n y por \u00faltimo la figura a fractalizar. Eso nos permite manipular el fractal desde la figura inicial f\u00e1cilmente. Hemos ilustrado esta nueva funci\u00f3n con el \u00e1rbol de Pit\u00e1goras. <br>Gracias a Houria Lafrance que nos ha propuesto realizar en Neotrie \"L'Arbre du Vivre Ensemble \" realizado por los alumnos de 4\u00ba <a href=\"https:\/\/twitter.com\/actoulouse\">@actoulouse<\/a> de <a href=\"https:\/\/twitter.com\/st_orens\">@st_orens<\/a>, en <a href=\"https:\/\/twitter.com\/Mathalors\/status\/1406204886316994564\">este twit<\/a>. Pod\u00e9is visitar tambi\u00e9n el <a href=\"https:\/\/topologia.wordpress.com\/2014\/05\/07\/arbol-pitagorico-con-cuadrados-de-cartulina\/\">\u00e1rbol pitag\u00f3rico que hicimos en el CEIP San Fernando<\/a>.<br><br><br><\/figcaption><\/figure>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"alignright size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www2.ual.es\/neotrie\/wp-content\/uploads\/2021\/08\/logo-GEOM-1024x695.png\" alt=\"\" class=\"wp-image-4747\" width=\"187\" height=\"127\"\/><figcaption>Proyecto Erasmus + KA2<\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[12,11,43],"tags":[126,55],"class_list":["post-4524","post","type-post","status-publish","format-standard","hentry","category-bachillerato","category-secundaria","category-universidad","tag-fractal","tag-fractales"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.8 - aioseo.com -->\n\t<meta name=\"description\" content=\"La nueva herramienta de fractales nos va a permitir generar fractales autosimilares f\u00e1cilmente. Los estudiantes tendr\u00e1n que introducir los par\u00e1metros de generaci\u00f3n (que se dan en la primera iteraci\u00f3n) en la herramienta: Opci\u00f3n 1: Fijando el factor de escalado y posiciones de las copias de la primera iteraci\u00f3n, tal y como hemos visto al final\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Jos\u00e9 Luis Rodr\u00edguez\"\/>\n\t<meta name=\"google-site-verification\" content=\"google-site-verification=yECM5sD2Ii3xsSoDBArqBmNdlDrmXh-FAAOQ40keSr4\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/www2.ual.es\/neotrie\/nueva-herramienta-de-fractales\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.8\" \/>\n\t\t<meta property=\"og:locale\" content=\"es_ES\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Neotrie VR - NeoTrie VR es un software de realidad virtual y mixta, multijugador, que permite al usuario crear, manipular e interactuar con objetos geom\u00e9tricos y modelos 3D en general.\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Nueva herramienta de fractales - Neotrie VR\" \/>\n\t\t<meta property=\"og:description\" content=\"La nueva herramienta de fractales nos va a permitir generar fractales autosimilares f\u00e1cilmente. 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