{"id":3488,"date":"2020-11-29T22:42:27","date_gmt":"2020-11-29T22:42:27","guid":{"rendered":"https:\/\/marcopachiega.com\/besp\/?p=3488"},"modified":"2020-11-29T23:31:30","modified_gmt":"2020-11-29T23:31:30","slug":"numeros-misteriosos-en-barcelona","status":"publish","type":"post","link":"https:\/\/marcopachiega.com\/besp\/numeros-misteriosos-en-barcelona\/","title":{"rendered":"N\u00fameros misteriosos en Barcelona"},"content":{"rendered":"<h1 style=\"text-align: center;\"><strong>N\u00fameros misteriosos en Barcelona<\/strong><\/h1>\n<h2 style=\"text-align: center;\">Una obra art\u00edstica que engloba los fundamentos de la naturaleza<\/h2>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-3495 \" src=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201125_150437_035.jpg\" alt=\"N\u00fameros misteriosos en Barcelona\" width=\"400\" height=\"535\" srcset=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201125_150437_035.jpg 864w, https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201125_150437_035-744x996.jpg 744w, https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201125_150437_035-314x420.jpg 314w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>Caminando por el Paseo de Joan Borb\u00f2, en el lado del barrio de la Barceloneta, la vista no se distrae de los lujosos yates amarrados, las palmeras y los restaurantes recientemente reabiertos. El olor del mar no deja lugar a otros pensamientos m\u00e1s que llegar a la playa y relajarse bajo el sol.<\/p>\n<p>Pocos turistas finalmente dan espacio para disfrutar tambi\u00e9n del entorno circundante. De repente mis ojos se ven atra\u00eddos por un extra\u00f1o detalle en el suelo. Un cuadrado con un n\u00famero adentro, uno grande, 6765. Haciendo una pausa para mirar la forma, noto otro un poco m\u00e1s adelante. Intrigado, sigo en direcci\u00f3n recta para observar m\u00e1s de cerca y \u00a1me encuentro con otro n\u00famero! 4181, \u00a1qu\u00e9 extra\u00f1o! Como en una b\u00fasqueda del tesoro, agudizo la vista e identifico otros cuadrados que contienen m\u00e1s d\u00edgitos poco a poco m\u00e1s y m\u00e1s cerca uno del otro. A primera vista, no existe una correlaci\u00f3n aparente. Parecen colocados al azar: 6765 un poco m\u00e1s lejos 4181 para seguir 2584 y as\u00ed sucesivamente. Termino descubriendo toda la secuencia llegando al final o quiz\u00e1s al principio con el n\u00famero 1.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-3491 lazyload\" data-src=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120656_630.jpg\" alt=\" Barcelona\" width=\"399\" height=\"534\" data-srcset=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120656_630.jpg 864w, https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120656_630-744x996.jpg 744w, https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120656_630-314x420.jpg 314w\" data-sizes=\"(max-width: 399px) 100vw, 399px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 399px; --smush-placeholder-aspect-ratio: 399\/534;\" \/><\/p>\n<p>Me doy la vuelta y observo toda la serie desde la distancia. \u00bfQu\u00e9 representan estos n\u00fameros en l\u00ednea recta sin l\u00f3gica aparente? Hago una pausa para analizar: no son s\u00f3lo n\u00fameros pares, ni siquiera una secuencia de n\u00fameros primos o impares. Para comprender el significado de esta extra\u00f1a secuencia, t\u00edmidamente escondida en el suelo, es necesario remontarse al a\u00f1o 1992. \u00a1No mucho m\u00e1s atr\u00e1s, al 1200!<\/p>\n<h3>Un poco de historia<\/h3>\n<p>No es una broma. Todo comenz\u00f3 a finales del siglo XII con un comerciante mar\u00edtimo respetado y conocido de origen pisano, Guglielmo dei Bonacci. Junto a su hijo, <a href=\"https:\/\/es.wikipedia.org\/wiki\/Leonardo_de_Pisa\" target=\"_blank\" rel=\"noopener noreferrer\">Leonardo conocido como \u201cel Fibonacci\u201d<\/a> (hijo dei Bonacci) permanecieron algunos a\u00f1os en el puerto de B\u00e9ja\u00efa. La ciudad es un antiguo centro comercial de Argelia con vistas al mar Mediterr\u00e1neo. Aqu\u00ed Leonardo estudi\u00f3 muchos textos y tratados matem\u00e1ticos de origen \u00e1rabe e indio que dieron lugar a la preparaci\u00f3n de su gigantesco libro, <a href=\"https:\/\/es.wikipedia.org\/wiki\/Liber_abaci\" target=\"_blank\" rel=\"noopener noreferrer\">\u00abLiber Abbaci<\/a>\u00ab. El texto es un hito en matem\u00e1ticas y el autor es uno de los m\u00e1s importantes en la historia de las matem\u00e1ticas. El libro, entre las muchas funciones y reglas de la aritm\u00e9tica y la trigonometr\u00eda, destaca por una f\u00f3rmula muy simple pero al mismo tiempo muy interesante.<\/p>\n<p>F {n} = F {{n-1}} + F _ {{n-2}}<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-3494 lazyload\" data-src=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201125_150330_406.jpg\" alt=\"\" width=\"399\" height=\"532\" data-srcset=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201125_150330_406.jpg 865w, https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201125_150330_406-744x993.jpg 744w, https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201125_150330_406-315x420.jpg 315w\" data-sizes=\"(max-width: 399px) 100vw, 399px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 399px; --smush-placeholder-aspect-ratio: 399\/532;\" \/><\/p>\n<h3>&#8230;y de matematica&nbsp;<\/h3>\n<p><strong>Si no eres un apasionado de las matem\u00e1ticas puedes saltarte todo el p\u00e1rrafo<\/strong> pero esta serie nos concierne muy de cerca. Te lo explicar\u00e9 o al menos lo intentar\u00e9. El resultado de la sucesi\u00f3n viene dado por la suma de los dos n\u00fameros contiguos anteriores, por ejemplo. 0 + 1 = 1, 1 + 1 = 2. Siguiendo este esquema continuamos 2 + 1 = 3; 3 + 2 = 5; 5 + 3 = 8 y as\u00ed sucesivamente. Se obtienen los resultados: 0,1,1,2,3,5,8,13,21,34,55,89,144,233, &#8230; A primera vista parece un juego para ni\u00f1os. En esta serie, sin embargo, hay una constante muy poderosa. \u00bfC\u00f3mo averiguarlo? Simple: Intentemos dividir un resultado de la serie con su anterior. 8: 5 = 1,6; 13: 8 = 1,625;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 21: 13 = 1.615384 &#8230; A medida que continuamos con las divisiones, el resultado de la raz\u00f3n se acerca gradualmente a una constante llamada <a href=\"https:\/\/es.wikipedia.org\/wiki\/N%C3%BAmero_%C3%A1ureo\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>n\u00famero \u00e1ureo<\/strong> o <strong>proporci\u00f3n \u00e1urea<\/strong><\/a> que es precisamente 1.6180339887 &#8230; \u00a1Incre\u00edble! Ahora, sin aburrirnos demasiado con las f\u00f3rmulas, vayamos al grano. \u00bfQu\u00e9 hacemos con la proporci\u00f3n \u00e1urea? Sin embargo, a primera vista, nada es una constante en la naturaleza. Las semillas de girasol, las hojas distribuidas a lo largo del tallo de una planta o la forma de la concha de Nautilus siguen esta constante. \u00a1El n\u00famero tambi\u00e9n parece estar presente en la formaci\u00f3n en espiral de las galaxias! Un v\u00ednculo con el macro y micro cosmos. La proporci\u00f3n \u00e1urea es un n\u00famero irracional, lo que significa que no tiene fin y la sucesi\u00f3n de sus decimales nunca sigue un patr\u00f3n. \u00daltimamente, gracias a las supercomputadoras, \u00a1hemos llegado a calcular la diez millon\u00e9sima de decimal!<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-3492 lazyload\" data-src=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120737_875.jpg\" alt=\"N\u00fameros misteriosos en Barcelona\" width=\"536\" height=\"400\" data-srcset=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120737_875.jpg 1157w, https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120737_875-744x556.jpg 744w, https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120737_875-420x314.jpg 420w\" data-sizes=\"(max-width: 536px) 100vw, 536px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 536px; --smush-placeholder-aspect-ratio: 536\/400;\" \/><\/p>\n<h3>Arte y numeros<\/h3>\n<p>Para continuar nuestra historia nos detenemos en 1925. En esta fecha naci\u00f3 un c\u00e9lebre artista italiano <a href=\"https:\/\/es.wikipedia.org\/wiki\/Mario_Merz\" target=\"_blank\" rel=\"noopener noreferrer\">Mario Mertz<\/a> (1925-2003), conocido en todo el mundo por sus obras y esculturas realizadas en arte pobre utilizando diferentes materiales como tubos de ne\u00f3n, hierro , cera y piedra.<\/p>\n<p>\u00a1Finalmente avanzamos a 1992 el a\u00f1o de los Juegos Ol\u00edmpicos de Barcelona! Y aqu\u00ed es que en esta fecha, pocos d\u00edas antes de la inauguraci\u00f3n oficial, Mario Mertz da su toque art\u00edstico a la ciudad con una obra original llamada \u00abCrescendo Appare\u00bb. Ubicado bajo un resistente vidrio blindado, Mario reproduce los primeros n\u00fameros de la serie Fibonacci con tubos de ne\u00f3n cerca de Port Vell. Las cajas se van colocando poco a poco cada vez m\u00e1s a mayor distancia alcanzando una longitud total de unos 160 metros!<\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-3490 lazyload\" data-src=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120546_261.jpg\" alt=\"N\u00fameros misteriosos en Barcelona\" width=\"400\" height=\"535\" data-srcset=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120546_261.jpg 864w, https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120546_261-744x995.jpg 744w, https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201123_120546_261-314x420.jpg 314w\" data-sizes=\"(max-width: 400px) 100vw, 400px\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 400px; --smush-placeholder-aspect-ratio: 400\/535;\" \/><\/p>\n<p>Mario conjuga el poder de la naturaleza, el conocimiento cient\u00edfico y art\u00edstico del hombre y los or\u00edgenes de Leonardo Fibonacci como comerciante mar\u00edtimo al situar la obra justo al lado del puerto de Barcelona tan importante como el de B\u00e9ja\u00efa. Todo est\u00e1 finalmente m\u00e1s claro. Una obra poderosa, silenciosa pero preciosa como un tesoro. Hasta hace unos a\u00f1os el proyecto de arte se encend\u00eda durante la noche, lamentablemente hoy el sistema el\u00e9ctrico no funciona por problemas de infiltraci\u00f3n y mantenimiento.<\/p>\n<p>Una obra m\u00e1s silenciosa que nunca y muchas veces olvidada por la mayor\u00eda de la gente que camina sobre ella sin darse cuenta. Qui\u00e9n sabe como el oro constante, invisible pero presente en todas partes en la naturaleza.<\/p>\n<p>Marco Pachiega.<\/p>\n<p>\u00bfTe gustar\u00eda leer otro art\u00edculo? \u00a1Echa un vistazo a la secci\u00f3n&nbsp;<a href=\"https:\/\/marcopachiega.com\/besp\/viajes-y-otras-historias\/\" rel=\"noopener noreferrer\"><strong>Viajes y otras historias<\/strong><\/a>&nbsp;o mira mi galer\u00eda a continuaci\u00f3n!<\/p>\n\n<div class=\"gdgallery-gallery-container\" id=\"gdgallery-container-35\" data-id=\"35\">\n    \n<div id=\"gdgallery_container_35\" style=\"display:none;\" data-view=\"justified\">\n            <a href=\"\" target=\"_blank\">\n            <img decoding=\"async\" alt=\"\"\n                 data-type=\"image\"\n                 data-src=\"https:\/\/marcopachiega.com\/besp\/wp-content\/uploads\/sites\/13\/2020\/11\/IMG_20201125_150647_242.jpg\"\n                 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El olor del mar no deja lugar a otros pensamientos m\u00e1s que llegar a la playa y relajarse bajo el sol. Pocos turistas finalmente dan espacio para disfrutar tambi\u00e9n del entorno circundante. De repente mis ojos se ven atra\u00eddos por un extra\u00f1o detalle en el suelo. Un cuadrado con un n\u00famero adentro, uno grande, 6765. Haciendo una pausa para mirar la forma, noto otro&hellip; <a class=\"read-more\" href=\"https:\/\/marcopachiega.com\/besp\/numeros-misteriosos-en-barcelona\/\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":3489,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[328],"tags":[222,26,477,474,7,478,473,476,475],"class_list":["post-3488","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-escapadas-viajes-y-otras-historias","tag-arte","tag-barcelona","tag-curiosidades","tag-fibonacci","tag-fotografia","tag-historia","tag-mario-merz","tag-matematica","tag-numero-aureo"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>N\u00fameros misteriosos en Barcelona - Pachiega&#039;s blog<\/title>\n<meta name=\"description\" content=\"N\u00fameros misteriosos en Barcelona. \u00bfQu\u00e9 representan estos n\u00fameros en l\u00ednea recta sin l\u00f3gica aparente? 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