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  2. Golden spiral - Wikipedia

    en.wikipedia.org/wiki/Golden_spiral

    Golden spirals are self-similar. The shape is infinitely repeated when magnified. In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. [1] That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.

  3. Logarithmic spiral - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_spiral

    The golden spiral is a logarithmic spiral that grows outward by a factor of the golden ratio for every 90 degrees of rotation (pitch angle about 17.03239 degrees). It can be approximated by a "Fibonacci spiral", made of a sequence of quarter circles with radii proportional to Fibonacci numbers.

  4. Spiral - Wikipedia

    en.wikipedia.org/wiki/Spiral

    The Fibonacci spiral and golden spiral; ... Spirals based on this procedure are called conical spirals. Example. ... The study of spirals in nature has a long history.

  5. List of spirals - Wikipedia

    en.wikipedia.org/wiki/List_of_spirals

    approximation of the golden spiral golden spiral = special case of the logarithmic spiral Spiral of Theodorus (also known as Pythagorean spiral) c. 500 BC: contiguous right triangles composed of one leg with unit length and the other leg being the hypotenuse of the prior triangle: approximates the Archimedean spiral

  6. Fibonacci numbers in popular culture - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_numbers_in...

    The Fibonacci sequence is frequently referenced in the 2001 book The Perfect Spiral by Jason S. Hornsby. A youthful Fibonacci is one of the main characters in the novel Crusade in Jeans (1973). He was left out of the 2006 movie version, however. The Fibonacci sequence and golden ratio are briefly described in John Fowles's 1985 novel A Maggot.

  7. Trump highlights ‘most historic’ 100 hours in office in new ...

    www.aol.com/news/trump-highlights-most-historic...

    He hit the ground running. President Trump touted the first 100 hours of his historic second term in a new video highlighting the start of what he has dubbed the “golden age” of America.

  8. The bizarre and Freudian history behind McDonald's golden arches

    www.aol.com/article/2016/07/26/the-bizarre-and...

    AP. By the late 1960s, McDonald's had ditched the two-arch design, with the golden arches appearing instead on signs. This is the era in which Ray Kroc had taken over the business and was swiftly ...

  9. Chambered nautilus - Wikipedia

    en.wikipedia.org/wiki/Chambered_nautilus

    The chambered nautilus is often used as an example of the golden spiral. While nautiluses show logarithmic spirals, their ratios range from about 1.24 to 1.43, with an average ratio of about 1.33 to 1. The golden spiral's ratio is 1.618. This is visible when the cut nautilus is inspected. [13]