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Approximations of this are found in nature Fibonacci spiral: circular arcs connecting the opposite corners of squares in the Fibonacci tiling: approximation of the golden spiral golden spiral = special case of the logarithmic spiral Spiral of Theodorus (also known as Pythagorean spiral)
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Date/Time Dimensions User Comment 2006-10-05 05:08: 988×611× (12078 bytes) Dicklyon: Heavier strokes on spiral so it will show up without being so big.
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
Den gyldne spiral; Usage on el.wikipedia.org Χρυσή τομή; Usage on en.wikibooks.org User:Mateuszica~enwikibooks/God and Mathematics; Usage on en.wikiquote.org Fibonacci numbers; Usage on es.wikipedia.org Espiral dorada; Usage on et.wikipedia.org Fibonacci jada; Mustrid looduses; Usage on fa.wikipedia.org سری فوریه; بسط تیلور
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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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.