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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.
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.
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Approximate and true Golden Spirals. The green spiral is made from quarter-circles tangent to the interior of each square, while the red spiral is a much closer approximation to a Golden Spiral, a special type of logarithmic spiral. Overlapping portions appear in yellow. Date: 29 August 2009, 17:15 (UTC) Source: FakeRealLogSpiral.png; Author
english: Series of Golden triangle and the Fibonacci spiral; italinao: la seria di triangoli aurei con esplicitazione della spirale di Fibonacci; Date: 09 - 10 - 2007: Source: Own work: Author: Personline
Image credits: VastCoconut2609 Cognitively, pessimistic headlines and stories reinforce our negativity bias, which, according to Ruiz-McPherson, "can lead to maladaptive thought patterns ...
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