Dictionary

Fibonacci sequence en · NOUN

Etymology

Named after the Italian mathematician later known as Fibonacci (c.1175 – c.1250), who introduced the sequence to a European readership in his 1202 book Liber Abaci.

Meanings

1. The sequence of integers, each of which is the sum of the preceding two, the first and second numbers both being 1.
   • In a well-known chapter on phyllotaxis, Coxeter (1969) calls the appearance of the Fibonacci sequence in botany a "fascinatingly prevalent tendency," called by Cook (1914) the "Law of Wiesner." The prevalence of the Fibonacci sequence in phyllotactic patterns is often referred to as “the mystery of phyllotaxis,” and “the bugbear of botanists.” 2009, Roger V. Jean, Phyllotaxis: A Systemic Study in Plant Morphogenesis, Cambridge University Press, page 1:
   • If the Fibonacci sequence is chosen for the quasiperiodic direction of a 1D QC,^([quasicrystal]) it may simply be called a Fibonacci phase. 1999, Walter Steurer, Torsten Heibach, “3. Crystallography of Quasicrystals”, in Zbigniew M. Stadnik, editor, Physical Properties of Quasicrystals, Springer, page 60:
   • The number of adult rabbit pairs being present in consecutive months is then given by the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, ... (every term is the sum of its two predecessors). This work can be seen as the very beginning of mathematical biology, though one has to admit that the Fibonacci sequence exerts a greater fascination for number theorists than for reproductive biologists. 2000, Martin Nowak, Robert M. May, Virus Dynamics: Mathematical Principles of Immunology and Virology, Oxford University Press, page 6:
   • The Fibonacci sequence {fₙ} is defined by the following recurrence relation […] 2019 June 24, Juan Triana, “Negafibonacci Numbers via Matrices”, in Bulletin of TICMI, volume 23, number 1, →ISSN, archived from the original on 13 Jul 2019, Introduction, page 1:
2. Any sequence of numbers such that each is the sum of the preceding two.
   • 2007, Anthony Nicolaides, Make The Grade At GCSE Mathematics, Higher Tier, P.A.S.S. Publications, 3rd Edition, page 169, 19. The first two terms of a Fibonacci sequence are a and b. Write out a few terms.
   • Indeed, these pairs belong to a Fibonacci sequence of what are called Lucas numbers that begins 2, 1, 3, 4, 7, 11,... 1977, Scientific American, volume 236, page 137:

Forms

Relateds

Lucas sequence · Fibonacci spiral · Fibonacci number · Tribonacci

Translations (14)

de Fibonaccifolge (sequence of numbers) · it successione di Fibonacci (sequence of numbers) · ja フィボナッチ数列 (sequence of numbers) · fi Fibonaccin lukujono (sequence of numbers) · pt sequência de Fibonacci (sequence of numbers) · bg числа́ на Фибона́чи (sequence of numbers) · cmn 斐波那契數列 /斐波那契数列 (sequence of numbers) · et Fibonacci rida (sequence of numbers) · cs Fibonacciho posloupnost (sequence of numbers) · tr Fibonacci dizisi (sequence of numbers) · hu Fibonacci-sorozat (sequence of numbers) · fr suite de Fibonacci (sequence of numbers) · ru после́довательность Фибона́ччи (sequence of numbers) · pt sucessão de Fibonacci (sequence of numbers)

wikipedia: Liber Abaci