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Obvious occurrences are in the number of "observable" spirals in the seeds of a sunflower, or on the outside of a pineapple, and in the number of leaves and petals on plants, for example clovers usually come with 3 leaves, daisies usually come with 55 petals. (3 & 55 are both Fibonacci numbers.)
As the Fibonacci numbers increase, the ratio between them gets closer and closer to the "Golden Ratio" φ which is approx 1.618034 (exactly it is (1 + √5)/2). Each petal or leaf of a plant grows from primordia and if the reflex angle between successive primordia is measured it is approx 222.5°; the ratio of this to a full turn is 360/222.5 ≈ 1.618 - the Golden Ratio. In using this spacing it provides the densest packing (for example with the seeds in a sunflower) making it stronger than radial spokes; it also means that each successive primordium gets placed in the largest space available.
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What are some of Fibonacci's contributions to math?
He discovered the Fibonacci Sequence (although long after an Indian named Pingala did), and he brought the current Arabic number system into popularity through his publication of "Liber Abbaci".
The sixth number of the Fibonacci sequence?
The 6th number of the Fibonacci sequence is 8.0 + 0 = 00 + 1 = 11 + 1 = 21 + 2 = 32 + 3 = 53 + 5 = 8Notice how it is the 6th equation meaning its the 6th Fibonacci number.Note that some people like to use 1 twice instead of 0.http://en.wikipedia.org/wiki/Fibonacci_number
Did Leonardo Fibonacci get married?
Oh, dude, Leonardo Fibonacci totally tied the knot! Yeah, he got married to a lovely lady and probably had a super fun wedding with some Fibonacci sequence-inspired decorations. Like, can you imagine the seating chart following that sequence? Hilarious!
How does the Fibonacci sequence work?
The Fibonacci sequence is a series of integers where each number is the sum of the preceeding two numbers, and the first two numbers in the series is 0 and 1. The first 10 numbers in the series are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34.Some definitions start the series at 1 and 1, omitting the 0.The ratio of two sequential Fibonacci numbers, as the numbers get large, approaches phi, which is the golden mean, (1 + sqrt(5)) / 2, or about 1.61803. There are many, many other uses, as well as observations of the sequence in nature.Fibonacci numbers get large very quickly, so generating more than a few of them requires an arbitrary decimal math library. In particular, the 47th number in the sequence is 2,971,215,073, which is the largest Fibonacci number that can be stored in a 32-bit unsigned binary integer, and the 93rd term is 12,200,160,415,121,876,738, which is the largest possible in 64-bit.
What did Fibonacci do in his life?
Fibonacci accomplished: doing paintings and also invented Fibonacci numbers. Fibonacci traveled to some Mediterranean countries, to study the most important Arab mathematicians at that time. Fibonacci ended his travels around the year 1200 and at that time he returned to Pisa. Originally in the year 1202, Fibonacci was presented with a problem of how quickly the rabbit population will grow in ideal conditions.
