This is a combination of 2 mathematical things -- the Golden ratio and the Fibonacci sequence.
The Golden ratio is (a+b)/a = a/b or ((1 + sqrt(5))/2 = 1.618...). A rectangle with sides of length a and b (with a>b) can have a square of size b removed from one end and leave a rectangle with the same ratio of sides as the original, but smaller of course.
The simplest Fibonacci sequence is (0,1,1,2,3,5,8,13,21,...) start with 0 and 1, add them together to get 1. The last 2 entries are now (1,1), add them to get 2. The last 2 entries are (1,2), add them to get 3. Etc.
The 2 are related in that dividing an entry in the Fibonacci sequence by the one before it gets closer to the numeric value of the Golden ratio the higher the entry number is
No, but the ratio of each term in the Fibonacci sequence to its predecessor converges to the Golden Ratio.
The ratio of successive terms in the Fibonacci sequence approaches the Golden ratio as the number of terms increases.
Your mind will be blown if you search Phi, The golden ratio, or the fibonacci sequence. It has to do with everything.
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 sequence can be used to determine the golden ratio. If you divide a term in the sequence by its predecessor, at suitably high values, it approaches the golden ratio.
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.
Leonardo Fibonacci discovered the number sequence which is named after him.
The answer depends on the sequence. The ratio of terms in the Fibonacci sequence, for example, tends to 0.5*(1+sqrt(5)), which is phi, the Golden ratio.
The 9th number in the Fibonacci Sequence is 34, and the 10th number in the Fibonacci sequence is 89.
There is the Fibonacci sequence but what is the Fibonacci code?
Leonardo Fibonacci was the father and creator of the fibonacci sequence a very famous mathematic sequence
There are many possible answers. One obvious one is 13, the next number in the Fibonacci Sequence that yields the golden mean.