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      "body": "Relación entre la proporción áurea con la sucesión de Fibonacci:\n\nMuchos de nosotros conocemos a Fibonacci y su famosa sucesión. Y si lo conocemos, conocemos su espiral, es algo que todos hemos visto alguna vez, ya que se encuentra implícita en la naturaleza de muchas formas. Sin embargo, esa no es la verdadera \"espiral dorada\", ya que la espiral de Fibonacci es una espiral hecha por cuadrados, y la espiral dorada es logarítmica, y con rectángulos.\n\n![](https://steemitimages.com/DQmbpMCbmoCJJiNz2uFjtWCkokKd4HpvjFfTe2ycPmjQmgg/image.png)\n(Concha de Nautilus)\n\nSin embargo, Fibonacci logró encontrar una sucesión que al obtener la división de un enésimo término sobre el anterior, nos acercamos al número o proporción áurea, la cual se representa como 1 más raíz de 5 entre 2.\n\n\n![](https://steemitimages.com/DQmSww8dqppuxHs733WbuQdjVqFQy6nAV3G2KwaRR51VgBc/image.png)\n\nGracias a esta razón, podemos darnos cuenta de que en realidad Fibonacci sí se acercó demasiado a la espiral dorada, sin embargo, la proporción divina \n\nLa razón es ésta:\n\nEl número áureo φ es la media aritmética de 1 y la raíz cuadrada de 5.3​ La relación algebraica entre la raíz cuadrada de 5, el número áureo y el número áureo conjugado (Φ = 1/φ = φ − 1) son expresados en las fórmulas siguientes:\n\n![](https://steemitimages.com/DQmVzXPCLkupXypPeL2s35HDk7wxp8mpb8HmYi4Wq4MvTfd/image.png)\n\nLa raíz cuadrada de 5 entonces calcula naturalmente en la expresión cerrada para los sucesión de Fibonacci, una fórmula de la forma que se escriba generalmente en términos del número áureo:\n\n![](https://steemitimages.com/DQmd6xLn6XFUcNkKS2btiVuVaFzqRCCFUjYG75ibSz1KyEd/image.png)\n\nCon esta fórmula podemos encontrar cualquier número de la sucesión de Fibonacci.\nLas matemáticas nunca dejan de sorprenderme.",
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