• Thumbnail for Fibonacci
    Leonardo Bonacci (c. 1170 – c. 1240–50), commonly known as Fibonacci, was an Italian mathematician from the Republic of Pisa, considered to be "the most...
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  • Thumbnail for Fibonacci sequence
    the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence...
    85 KB (12,946 words) - 20:59, 18 July 2025
  • Thumbnail for Golden ratio
    calculations of pentagons and decagons; his writings influenced that of Fibonacci (Leonardo of Pisa) (c. 1170–1250), who used the ratio in related geometry...
    115 KB (13,380 words) - 00:57, 22 June 2025
  • In computer science, a Fibonacci heap is a data structure for priority queue operations, consisting of a collection of heap-ordered trees. It has a better...
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  • Thumbnail for Fibonacci retracement
    finance, Fibonacci retracement is a method of technical analysis for determining support and resistance levels. It is named after the Fibonacci sequence...
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  • The Fibonacci word fractal is a fractal curve defined on the plane from the Fibonacci word. This curve is built iteratively by applying the Odd–Even Drawing...
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  • In mathematics, the Fibonacci polynomials are a polynomial sequence which can be considered as a generalization of the Fibonacci numbers. The polynomials...
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  • A Fibonacci prime is a Fibonacci number that is prime, a type of integer sequence prime. The first Fibonacci primes are (sequence A005478 in the OEIS):...
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  • The Fibonaccis were an American art rock band formed in 1981 in Los Angeles.[citation needed] The band consisted of songwriters John Dentino (keyboards)...
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  • Thumbnail for Fibonacci word
    A Fibonacci word is a specific sequence of binary digits (or symbols from any two-letter alphabet). The Fibonacci word is formed by repeated concatenation...
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  • condensed matter physics, a Fibonacci anyon is a type of anyon which lives in two-dimensional topologically ordered systems. The Fibonacci anyon τ {\displaystyle...
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  • Thumbnail for Golden spiral
    golden spiral. Another approximation is a Fibonacci spiral, which is constructed slightly differently. A Fibonacci spiral starts with a rectangle partitioned...
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  • In the mathematical field of graph theory, the Fibonacci cubes or Fibonacci networks are a family of undirected graphs with rich recursive properties derived...
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  • In computer science, the Fibonacci search technique is a method of searching a sorted array using a divide and conquer algorithm that narrows down possible...
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  • A Lagged Fibonacci generator (LFG or sometimes LFib) is an example of a pseudorandom number generator. This class of random number generator is aimed...
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  • In mathematics, the random Fibonacci sequence is a stochastic analogue of the Fibonacci sequence defined by the recurrence relation f n = f n − 1 ± f n...
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  • ^{2}=\varphi +1} ⁠. Calculations in the golden field can be used to study the Fibonacci numbers and other topics related to the golden ratio, notably the geometry...
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  • The Fibonacci Quarterly is a scientific journal on mathematical topics related to the Fibonacci numbers, published four times per year. It is the primary...
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  • − 1. The 11th Fibonacci number and thus a Fibonacci prime as well. The first few digits of its reciprocal coincide with the Fibonacci sequence due to...
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  • led him to conclude that "The Fibonacci Summation Series is the basis of The Wave Principle". Numbers from the Fibonacci sequence surface repeatedly in...
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  • Thumbnail for Liber Abaci
    1202 Latin work on arithmetic by Leonardo of Pisa, posthumously known as Fibonacci. It is primarily famous for introducing both base-10 positional notation...
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  • In mathematics and computing, Fibonacci coding is a universal code which encodes positive integers into binary code words. It is one example of representations...
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  • The Fibonacci Sequence is a British chamber ensemble cofounded by horn player Stephen Stirling in 1984. Purposefully flexible, the ensemble is capable...
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  • In mathematics, the Fibonacci numbers form a sequence defined recursively by: F n = { 0 n = 0 1 n = 1 F n − 1 + F n − 2 n > 1 {\displaystyle...
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  • In algebra, the Brahmagupta–Fibonacci identity expresses the product of two sums of two squares as a sum of two squares in two different ways. Hence the...
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  • The Fibonacci numbers are a sequence of integers, typically starting with 0, 1 and continuing 1, 2, 3, 5, 8, 13, ..., each new number being the sum of...
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  • Thumbnail for Fibonacci nim
    Fibonacci nim is a mathematical subtraction game, a variant of the game of nim. Players alternate removing coins from a pile, on each move taking at most...
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  • Fibonacci's identity may refer either to: the Brahmagupta–Fibonacci identity in algebra, showing that the set of all sums of two squares is closed under...
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  • Thumbnail for Pisano period
    Pisano period (category Fibonacci numbers)
    the sequence of Fibonacci numbers taken modulo n repeats. Pisano periods are named after Leonardo Pisano, better known as Fibonacci. The existence of...
    28 KB (3,325 words) - 15:36, 19 July 2025
  • Thumbnail for Lucas number
    Lucas number (category Fibonacci numbers)
    closely related Fibonacci sequence. Individual numbers in the Lucas sequence are known as Lucas numbers. Lucas numbers and Fibonacci numbers form complementary...
    14 KB (2,614 words) - 18:34, 12 July 2025