{"id":222,"date":"2020-05-15T00:24:52","date_gmt":"2020-05-15T00:24:52","guid":{"rendered":"https:\/\/agustinducca.com\/blog\/?p=222"},"modified":"2020-05-15T12:59:12","modified_gmt":"2020-05-15T12:59:12","slug":"proporcion-aurea-la-clave-de-la-armonia","status":"publish","type":"post","link":"https:\/\/agustinducca.com\/blog\/proporcion-aurea-la-clave-de-la-armonia\/","title":{"rendered":"Proporci\u00f3n \u00c1urea: la clave de la armon\u00eda"},"content":{"rendered":"\n<p>La proporci\u00f3n \u00e1urea es un n\u00famero irracional que descubrieron pensadores de la Antig\u00fcedad al advertir el v\u00ednculo existente entre dos segmentos pertenecientes a una misma recta. Dicha proporci\u00f3n puede hallarse en la naturaleza (flores, hojas, etc.) y en figuras geom\u00e9tricas y se le otorga una condici\u00f3n est\u00e9tica: aquello cuyas formas respetan la proporci\u00f3n \u00e1urea es considerado bello.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">El n\u00famero \u00e1ureo o n\u00famero Phi (fi)<\/h2>\n\n\n\n<p>Esta proporci\u00f3n, que tambi\u00e9n suele mencionarse como <strong>raz\u00f3n \u00e1urea<\/strong>, <strong>n\u00famero \u00e1ureo<\/strong> o <strong>divina proporci\u00f3n<\/strong>, incluso sol\u00eda ser se\u00f1alada por sus supuestas propiedades m\u00edsticas. Su ecuaci\u00f3n se expresa como 1 m\u00e1s la ra\u00edz cuadrada de 5, todo sobre 2, y el resultado es aproximadamente igual a 1,61803398874989\u2026<\/p>\n\n\n\n<p>Puede decirse que la proporci\u00f3n \u00e1urea surge de la relaci\u00f3n entre un&nbsp;<strong>segmento a<\/strong>&nbsp;y&nbsp;<strong>un segmento b<\/strong>. El&nbsp;<strong>segmento a<\/strong>&nbsp;es m\u00e1s extenso que el&nbsp;<strong>segmento b<\/strong>, mientras que la longitud total de la recta es, al&nbsp;<strong>segmento a<\/strong>, como el&nbsp;<strong>segmento a<\/strong>&nbsp;es al&nbsp;<strong>segmento b<\/strong>.<br><br>Para ser m\u00e1s claros, si dividimos la longitud de la recta por el&nbsp;<strong>segmento a<\/strong>, nos da el mismo resultado que si dividimos el&nbsp;<strong>segmento a<\/strong>&nbsp;por el&nbsp;<strong>segmento b<\/strong>, es decir 1,61803398874989\u2026<br><br>Si ponemos la proporci\u00f3n \u00e1urea en una expresi\u00f3n algebraica, obtenemos la siguiente ecuaci\u00f3n:&nbsp;<strong>(a + b) \/ a = a \/ b<\/strong>. El n\u00famero \u00e1ureo, que se lo menciona con la letra griega phi, es el resultado de la divisi\u00f3n entre&nbsp;<strong>a y b.<\/strong><br><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"611\" height=\"328\" data-src=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/WhatsApp-Image-2020-05-13-at-20.53.05.jpeg\" alt=\"la regla aurea proporcion perfecta proporcion aurea belleza\" class=\"wp-image-223 lazyload\" data-srcset=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/WhatsApp-Image-2020-05-13-at-20.53.05.jpeg 611w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/WhatsApp-Image-2020-05-13-at-20.53.05-300x161.jpeg 300w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/WhatsApp-Image-2020-05-13-at-20.53.05-450x242.jpeg 450w\" data-sizes=\"(max-width: 611px) 100vw, 611px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 611px; --smush-placeholder-aspect-ratio: 611\/328;\" \/><figcaption>Proporci\u00f3n \u00e1urea<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">La proporci\u00f3n \u00e1urea en el arte <\/h2>\n\n\n\n<p>Aunque su definici\u00f3n resulte abstracta y algo dif\u00edcil de entender, la aplicaci\u00f3n de la proporci\u00f3n \u00e1urea es importante en la fotograf\u00eda, la pintura, la escultura y otras artes que suelen vincular el ideal de belleza a las simetr\u00edas y las proporciones.<br><br>La representaci\u00f3n gr\u00e1fica de la proporci\u00f3n \u00e1urea, que se obtiene trazando una serie de rect\u00e1ngulos y uniendo algunos de sus v\u00e9rtices con una l\u00ednea espiralada, da como resultado la conocida <strong>Espiral de Oro<\/strong>. En la fotograf\u00eda, el uso de dicha figura para ubicar los diferentes objetos puede ofrecer resultados impresionantes, con una armon\u00eda y una fluidez que reflejan el esp\u00edritu de la escena.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"555\" height=\"416\" data-src=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/74b3264c-41ed-4b77-a4ba-e377206babd3.jpg\" alt=\"proporcion aurea dibujo zona aurea fotografia proporcion aurea en la musica\" class=\"wp-image-229 lazyload\" data-srcset=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/74b3264c-41ed-4b77-a4ba-e377206babd3.jpg 555w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/74b3264c-41ed-4b77-a4ba-e377206babd3-300x225.jpg 300w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/74b3264c-41ed-4b77-a4ba-e377206babd3-450x337.jpg 450w\" data-sizes=\"(max-width: 555px) 100vw, 555px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 555px; --smush-placeholder-aspect-ratio: 555\/416;\" \/><figcaption>Grilla \u00c1urea<\/figcaption><\/figure>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" width=\"452\" height=\"339\" data-src=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/d7295e87-bcd8-41dd-bc1a-b8db8880b807.jpg\" alt=\"proporcion aurea rectangulo la proporcion aurea mario livio pdf\" class=\"wp-image-231 lazyload\" data-srcset=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/d7295e87-bcd8-41dd-bc1a-b8db8880b807.jpg 452w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/d7295e87-bcd8-41dd-bc1a-b8db8880b807-300x225.jpg 300w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/d7295e87-bcd8-41dd-bc1a-b8db8880b807-450x338.jpg 450w\" data-sizes=\"(max-width: 452px) 100vw, 452px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 452px; --smush-placeholder-aspect-ratio: 452\/339;\" \/><figcaption>Espiral \u00e1urea<\/figcaption><\/figure><\/div>\n\n\n\n<p>Del mismo modo, la aplicaci\u00f3n de la <strong>Espiral de Oro<\/strong> en la <strong>pintura<\/strong> y la <strong>escultura <\/strong>puede elevar los resultados, pero de ninguna manera deber\u00eda convertirse en el \u00fanico camino hacia la creaci\u00f3n de obras art\u00edsticas.<br><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" width=\"500\" height=\"357\" data-src=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/mona.jpg\" alt=\"el numero de oro en el arte la proporcion divina el numero de oro en matematicas\" class=\"wp-image-234 lazyload\" data-srcset=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/mona.jpg 500w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/mona-300x214.jpg 300w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/mona-450x321.jpg 450w\" data-sizes=\"(max-width: 500px) 100vw, 500px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 500px; --smush-placeholder-aspect-ratio: 500\/357;\" \/><figcaption> Proporci\u00f3n \u00e1urea en el rostro de la Gioconda<\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">La proporci\u00f3n \u00e1urea en la naturaleza <\/h2>\n\n\n\n<p>Algunos ejemplos de c\u00f3mo el n\u00famero de oro o media divina aparece en la naturaleza y en el cuerpo humano:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"649\" height=\"295\" data-src=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/232d6fa2-9947-4d69-9b5c-eb23f6c51024.jpg\" alt=\"\" class=\"wp-image-236 lazyload\" data-srcset=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/232d6fa2-9947-4d69-9b5c-eb23f6c51024.jpg 649w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/232d6fa2-9947-4d69-9b5c-eb23f6c51024-300x136.jpg 300w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/232d6fa2-9947-4d69-9b5c-eb23f6c51024-450x205.jpg 450w\" data-sizes=\"(max-width: 649px) 100vw, 649px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 649px; --smush-placeholder-aspect-ratio: 649\/295;\" \/><\/figure>\n\n\n\n<p>Esta proporci\u00f3n es tambi\u00e9n muy \u00fatil en el dise\u00f1o o la arquitectura ya que garantiza equilibrio, armon\u00eda y a su vez asimetr\u00eda y belleza visual.<\/p>\n\n\n\n<div style=\"background-color:#f2f2f2;color:#32373c\" class=\"wp-block-atomic-blocks-ab-profile-box square ab-has-avatar ab-font-size-18 ab-block-profile ab-profile-columns\"><div class=\"ab-profile-column ab-profile-avatar-wrap\"><div class=\"ab-profile-image-wrap\"><figure class=\"ab-profile-image-square\"><img decoding=\"async\" width=\"150\" height=\"150\" class=\"ab-profile-avatar wp-image-246 lazyload\" data-src=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/WhatsApp-Image-2020-05-15-at-00.09.22.jpeg\" alt=\"\" data-srcset=\"https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/WhatsApp-Image-2020-05-15-at-00.09.22.jpeg 150w, https:\/\/agustinducca.com\/blog\/wp-content\/uploads\/2020\/05\/WhatsApp-Image-2020-05-15-at-00.09.22-120x120.jpeg 120w\" data-sizes=\"(max-width: 150px) 100vw, 150px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 150px; --smush-placeholder-aspect-ratio: 150\/150;\" \/><\/figure><\/div><\/div><div class=\"ab-profile-column ab-profile-content-wrap\"><h2 class=\"ab-profile-name\" style=\"color:#32373c\">Juan Genco<\/h2><p class=\"ab-profile-title\" style=\"color:#32373c\">Dise\u00f1ador UX\/UI<\/p><div class=\"ab-profile-text\"><p>Dise\u00f1ador, Ilustrador, Animador, Web Designer, Maquetador y m\u00e1s; creativo, autodidacta, proactivo y perfeccionista. Experto en softwares como Photoshop, Illustrator, Indesign, Animate, etc. Mi fuerte es el dise\u00f1o de marcas y el dise\u00f1o de interfaces, tengo experiencia en editorial, multimedia y web.<\/p><\/div><ul class=\"ab-social-links\"><\/ul><\/div><\/div>\n<!-- AddThis Advanced Settings generic via filter on the_content --><!-- AddThis Share Buttons generic via filter on the_content -->","protected":false},"excerpt":{"rendered":"<p>La proporci\u00f3n \u00e1urea es un n\u00famero irracional que descubrieron pensadores de la Antig\u00fcedad al advertir el v\u00ednculo existente entre dos segmentos pertenecientes a una misma recta. Dicha proporci\u00f3n puede hallarse en la naturaleza (flores, hojas, etc.) y en figuras geom\u00e9tricas y se le otorga una condici\u00f3n est\u00e9tica: aquello cuyas formas respetan la proporci\u00f3n \u00e1urea es<!-- AddThis Advanced Settings generic via filter on get_the_excerpt --><!-- AddThis Share Buttons generic via filter on get_the_excerpt --><\/p>\n","protected":false},"author":4,"featured_media":243,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[157],"tags":[161,162,158,160,159],"class_list":["post-222","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-diseno","tag-aureo","tag-belleza","tag-diseno","tag-ui","tag-ux"],"aioseo_notices":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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