There are multiple ways to define Fibonacci numbers:
– Set the first two to be 0 and 1, and every after as the sum of those two preceding it: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, … .
– The number of different ways to form a strip of fixed length by glueing strips of lengths 1 and 2 together.
– The number of binary (only 0 and 1 allowed) sequences with a fixed number of digits, and 1s must not be consecutive.
– Via Binet’s formula as ( φ^n – (-1/φ)^n ) / sqrt(5).
– [many more]
> how it it’s supposed to be in all nature and that’s sacres geometry…
That’s a myth at best, and a lie at worst. There are some very few instances where they somewhat appear, but those are one in a million things. None of the claims of golden ratios appearing within humans, plants or animals has ever withstood scrutiny, sqrt(2), 1.5 and sqrt(3) are just as probable and nonsensical.
Edit: spelling.
Latest Answers