Generatore Sequenza di Fibonacci

La sequenza di Fibonacci è una successione di numeri interi in cui ogni elemento è la somma dei due precedenti: 0, 1, 1, 2, 3, 5, 8, 13, 21... Introdotta da Leonardo Fibonacci nel 1202, appare spesso in natura (spirali di conchiglie, disposizione dei petali, rami degli alberi).

Il rapporto tra due termini consecutivi della sequenza di Fibonacci converge al numero aureo φ ≈ 1.6180339887. Questo rapporto è considerato esteticamente piacevole ed è usato in architettura, arte e design. La spirale aurea (basata su rettangoli aurei) è strettamente correlata a Fibonacci.

Sì! In informatica è usata in algoritmi di ricerca (heap di Fibonacci), compressione e pseudorandomicità. In finanza con le "ritracciature di Fibonacci" nell'analisi tecnica. In natura descrive la crescita a spirale di molti organismi. Nei test software si usano i numeri di Fibonacci come stima degli story point.

A series of whole numbers where each one is the sum of the two before it: 0, 1, 1, 2, 3, 5, 8, 13, 21. Leonardo Fibonacci introduced it in 1202, and it turns up in shell spirals and the arrangement of petals.

The ratio between two consecutive terms of the sequence closes in on roughly 1.618, the golden ratio. It is widely used in architecture, art and design, and the golden spiral is built from the rectangles it produces.

Yes. In computing it shows up in Fibonacci heaps and in search algorithms, in technical analysis as retracement levels, and in software estimation, where story points are often given as Fibonacci numbers.

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