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A Fibonacci prime is a Fibonacci number that is prime. The first few are: [46] 2, 3, 5, 13, 89, 233, 1597, 28657, 514229, ... Fibonacci primes with thousands of digits have been found, but it is not known whether there are infinitely many. [47] F kn is divisible by F n, so, apart from F 4 = 3, any Fibonacci prime must have a prime index.
Both the Fibonacci sequence and the sequence of Lucas numbers can be used to generate approximate forms of the golden spiral (which is a special form of a logarithmic spiral) using quarter-circles with radii from these sequences, differing only slightly from the true golden logarithmic spiral. Fibonacci spiral is generally the term used for ...
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.
A Fibonacci spiral approximates the golden spiral using quarter-circle arcs inscribed in squares derived from the Fibonacci sequence. A golden spiral with initial radius 1 is the locus of points of polar coordinates ( r , θ ) {\displaystyle (r,\theta )} satisfying r = φ 2 θ / π , {\displaystyle r=\varphi ^{2\theta /\pi },} where φ ...
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:
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
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