{"id":1784,"date":"2022-04-29T13:09:11","date_gmt":"2022-04-29T11:09:11","guid":{"rendered":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/?p=1784"},"modified":"2022-05-03T10:26:51","modified_gmt":"2022-05-03T08:26:51","slug":"ganadores-del-concurso-de-fotografia-matematica-2021-2022","status":"publish","type":"post","link":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/2022\/04\/29\/ganadores-del-concurso-de-fotografia-matematica-2021-2022\/","title":{"rendered":"GANADORES DEL CONCURSO DE FOTOGRAF\u00cdA MATEM\u00c1TICA 2021-2022"},"content":{"rendered":"<p>GANADOR CATEGOR\u00cdA 1\u00ba y 2\u00baESO<\/p>\n<p><strong><em>Punto de fuga celeste<\/em><\/strong><\/p>\n<p>El\u00edas Pent\u00f3n (2\u00baD)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1785 size-large\" src=\"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/Punto-de-fuga.-Elias-Penton-2oESO-D-1024x768.jpg\" alt=\"\" width=\"1024\" height=\"768\" srcset=\"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/Punto-de-fuga.-Elias-Penton-2oESO-D-1024x768.jpg 1024w, https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/Punto-de-fuga.-Elias-Penton-2oESO-D-300x225.jpg 300w, https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/Punto-de-fuga.-Elias-Penton-2oESO-D-768x576.jpg 768w, https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/Punto-de-fuga.-Elias-Penton-2oESO-D-1536x1152.jpg 1536w, https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/Punto-de-fuga.-Elias-Penton-2oESO-D-2048x1536.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Entre los a\u00f1os 1417 y 1420, Filippo Brunelleschi, artista y arquitecto del renacimiento italiano, realiz\u00f3 una serie de experimentos por los que descubri\u00f3 los principios matem\u00e1ticos y cient\u00edficos que rigen la perspectiva (entre ellos los puntos de fuga).<\/p>\n<p>Un punto de fuga, en un sistema de proyecci\u00f3n c\u00f3nica, es el lugar geom\u00e9trico en el cual convergen las proyecciones de las rectas paralelas a una direcci\u00f3n dada en el espacio, no paralelas al plano de proyecci\u00f3n. Es un punto situado en el infinito. Existen tantos puntos de fuga como direcciones en el espacio.<\/p>\n<p>Para la realizaci\u00f3n de dibujos, los puntos de fuga son muy importantes ya que permiten dar sensaci\u00f3n de profundidad y mantener la perspectiva que tendr\u00eda un observador desde un cierto punto de vista.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>GANADORA CATEGOR\u00cdA 3\u00ba y 4\u00baESO<\/p>\n<p><strong><em>Las casualidades que hicieron posible tomar esta foto matem\u00e1ticamente incorrecta.<\/em><\/strong><\/p>\n<p>Cristina Verdezoto (4\u00baC)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1786 size-full\" src=\"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/4oC-Cristina-Verdezoto.png\" alt=\"\" width=\"788\" height=\"559\" srcset=\"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/4oC-Cristina-Verdezoto.png 788w, https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/4oC-Cristina-Verdezoto-300x213.png 300w, https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/4oC-Cristina-Verdezoto-768x545.png 768w\" sizes=\"auto, (max-width: 788px) 100vw, 788px\" \/><\/p>\n<p>Suponiendo que el \u00e1ngulo por donde pasa la estela del avi\u00f3n es de 90\u00ba, calcula la longitud&nbsp;de la hipotenusa y&nbsp;del segmento blanco que est\u00e1 dentro del tri\u00e1ngulo si sabemos que los catetos de este miden 1,85m y 3,8m.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>GANADOR CATEGOR\u00cdA 1\u00ba y 2\u00baBACH<\/p>\n<p><strong><em>La belleza natural de Phi.<\/em><\/strong><\/p>\n<p>Iv\u00e1n S\u00e1nchez Teso (1\u00baB Bach)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1787 size-large\" src=\"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/1oB-bach-Ivan-Sanchez-Teso-1024x855.jpg\" alt=\"\" width=\"1024\" height=\"855\" srcset=\"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/1oB-bach-Ivan-Sanchez-Teso-1024x855.jpg 1024w, https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/1oB-bach-Ivan-Sanchez-Teso-300x251.jpg 300w, https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/1oB-bach-Ivan-Sanchez-Teso-768x641.jpg 768w, https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/1oB-bach-Ivan-Sanchez-Teso-1536x1283.jpg 1536w, https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/1oB-bach-Ivan-Sanchez-Teso-2048x1711.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>Las matem\u00e1ticas no fueron creadas, simplemente exist\u00edan desde el primer momento. A medida que vamos descubriendo cosas sobre esta, vamos observando lo preciosos que pueden ser sus secretos. En concreto el que m\u00e1s bonito me pareci\u00f3 es el n\u00famero phi y su fuerte y misteriosa relaci\u00f3n con la naturaleza.<\/p>\n<p>En esta imagen he expresado una espiral \u00e1urea inscrita en una circunferencia, adem\u00e1s de poner el procedimiento para poder crear otra y un ejemplo en el que esta se ve en la naturaleza.<\/p>\n<p>Si con lo poco que sabemos de la inabarcable magnitud de las matem\u00e1ticas quedamos sorprendidos no logro imaginar cuan perplejos estaremos al descubrir m\u00e1s secretos de las matem\u00e1ticas.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>GANADOR CATEGOR\u00cdA 1\u00ba y 2\u00baESO Punto de fuga celeste El\u00edas Pent\u00f3n (2\u00baD) Entre los a\u00f1os 1417 y 1420, Filippo Brunelleschi, artista y arquitecto del renacimiento italiano, realiz\u00f3 una serie de experimentos por los que descubri\u00f3 los principios matem\u00e1ticos y cient\u00edficos que rigen la perspectiva (entre ellos los puntos de fuga). Un punto de fuga, en [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":1822,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[20,18],"class_list":["post-1784","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-departamentos","tag-concurso","tag-matematicas"],"rttpg_featured_image_url":{"full":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-scaled.jpg",2560,1708,false],"landscape":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-scaled.jpg",2560,1708,false],"portraits":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-scaled.jpg",2560,1708,false],"thumbnail":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-150x150.jpg",150,150,true],"medium":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-300x200.jpg",300,200,true],"large":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-1024x683.jpg",640,427,true],"thumblist":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-300x300.jpg",300,300,true],"thumbrelated":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-scaled.jpg",500,334,false],"meccarouselthumb":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-474x324.jpg",474,324,true],"gridsquare":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-391x260.jpg",391,260,true],"tileview":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-300x400.jpg",300,400,true],"1536x1536":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-1536x1025.jpg",1536,1025,true],"2048x2048":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-2048x1366.jpg",2048,1366,true],"total-portfolio-thumb":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-400x400.jpg",400,400,true],"total-team-thumb":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-350x420.jpg",350,420,true],"total-blog-thumb":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-400x280.jpg",400,280,true],"total-thumb":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-100x100.jpg",100,100,true],"total-blog-header":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-720x360.jpg",720,360,true],"sow-carousel-default":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-272x182.jpg",272,182,true],"sow-post-carousel-overlay-theme":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-scaled.jpg",360,240,false],"sow-post-carousel-cards-theme":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-scaled.jpg",360,240,false],"rt_custom":["https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/\/wp-content\/uploads\/ies.celestinomutis.madrid\/2022\/04\/jose-g-ortega-castro-02xgWG13flk-unsplash-scaled.jpg",2560,1708,false]},"rttpg_author":{"display_name":"tic.ies.celestinomutis.madrid","author_link":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/author\/cuenta_tic-ies-celestinomutis-madrid\/"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/category\/departamentos\/\" rel=\"category tag\">Departamentos<\/a>","rttpg_excerpt":"GANADOR CATEGOR\u00cdA 1\u00ba y 2\u00baESO Punto de fuga celeste El\u00edas Pent\u00f3n (2\u00baD) Entre los a\u00f1os 1417 y 1420, Filippo Brunelleschi, artista y arquitecto del renacimiento italiano, realiz\u00f3 una serie de experimentos por los que descubri\u00f3 los principios matem\u00e1ticos y cient\u00edficos que rigen la perspectiva (entre ellos los puntos de fuga). Un punto de fuga, en&hellip;","post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/posts\/1784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/comments?post=1784"}],"version-history":[{"count":2,"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/posts\/1784\/revisions"}],"predecessor-version":[{"id":1823,"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/posts\/1784\/revisions\/1823"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/media\/1822"}],"wp:attachment":[{"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/media?parent=1784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/categories?post=1784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/site.educa.madrid.org\/ies.celestinomutis.madrid\/index.php\/wp-json\/wp\/v2\/tags?post=1784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}