Your mind will be blown if you search Phi, The golden ratio, or the fibonacci sequence. It has to do with everything.
It's not used anywhere by people. But it's used by Nature, wherever plants grow.
The Fibonacci sequence is a series of numbers in which each number is the sum of the two previous numbers. When graphed, the sequence creates a spiral. The sequence is also related to the "Golden Ratio." The Golden Ratio has been used to explain why certain shapes are more aesthetically pleasing than others.
Different authors use different conventions for indexing the Fibonacci sequence (n.b., "sequence" not "series"). For example, in Cameron's Combinatorics, he defines F1=1, F2=2. The most common choice, used for example in Sloane's Online Encyclopedia of Integer Sequences (http://www.research.att.com/~njas/sequences/), is to define thezeroth Fibonacci number to be 0 and the first to be 1; thus the second is also 1. With this choice, a number of formulas become simpler and we have this particularly nice number-theoretic result: if m divides n, then the mth Fibonacci number divides the nth Fibonacci number.
Fibonacci didn't discover the golden ratio. It had been used thousands of years earlier,for example in construction of religious architecture by the Greeks, who considered it themost perfect and visually pleasing ratio of structural length to width. Fibonacci studied asimple numerical series that generates the number equal to the golden ratio.The number is also the solution to the equation: [ (x - 1) = 1/x ].
The sequence 1, 1, 2, 3, 5, ..., is used in mathematical programming to find the interval containing the minimizer of a function of one variable. Fibonacci was the founder of the Fibonacci Sequence, in which each number is found by adding together the two before it. The first few numbers are: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...
used for supermarkets
The Fibonacci sequence is used for many calculations in regards to nature. The Fibonacci sequence can help you determine the growth of buds on trees or the growth rate of a starfish.
the Fibonacci numbers are used in describing the spirals in a flower, shells and the like. It is also used in number theory of the golden triangle.
In mathematics, Fibonacci coding is a universal code which encodes positive integers into binary code words
Fibonacci Numbers/ sequence
Yes, it is.
The term 'Fibonacci retracement' refers to a method of technical analysis for studying the support and resistance level. This term was developed after they used the Fibonacci sequence.
It was first used by Leonardo Fibonacci in the 12th century.
It's not used anywhere by people. But it's used by Nature, wherever plants grow.
I can't be sure what you would use it for but I do know that it can be used for converting kilometres into miles i.e. 5 miles =8 kilometres and so on and that many flowers have a Fibonacci number of petals.
In The Da Vinci Code, Robert Langdon realized the Fibonacci sequence was the key to solving the cryptex puzzle by recognizing the sequence in the numbers on the Vitruvian Man painting. He used the Fibonacci sequence to determine the correct order of the letters in the password.
Leonardo Fibonacci was an Italian mathematician, who learned some of the 13th century mathematics used in Arab and Indian countries, and taught them to to European mathematicians. He now is probably most famous for having discovered the Fibonacci number sequence, 1, 2, 3, 5, 8, 13, 21, 34, etc.whjegfqwiehgfqwhf