If you got something that ends like 0. That is because the Golden Ratio 1. Any number that is a simple fraction example: 0. But the Golden Ratio its symbol is the Greek letter Phi, shown at left is an expert at not being any fraction. It is an Irrational Number meaning we cannot write it as a simple fraction , but more than that There is a special relationship between the Golden Ratio and Fibonacci Numbers 0, 1, 1, 2, 3, 5, 8, 13, 21, When we take any two successive one after the other Fibonacci Numbers, their ratio is very close to the Golden Ratio:.
Probably not, but there are some pretty common ones that we find over and over in the natural world. Take, for instance, the Fibonacci numbers — a sequence of numbers and a corresponding ratio that reflects various patterns found in nature, from the swirl of a pinecone's seeds to the curve of a nautilus shell to the twist of a hurricane.
Humans have probably known about this numerical sequence for millennia — it can be found in ancient Sanskrit texts — but in modern times we have associated it with one medieval man's obsession with rabbits. In , Italian mathematician Leonardo Pisano also known as Fibonacci , meaning "son of Bonacci" pondered the question: Given optimal conditions, how many pairs of rabbits can be produced from a single pair of rabbits in one year? This thought experiment dictates that the female rabbits always give birth to pairs, and each pair consists of one male and one female [source: Ghose ].
Think about it: Two newborn rabbits are placed in a fenced-in yard and left to, well, breed like rabbits. Rabbits can't reproduce until they are at least 1 month old, so for the first month, only one pair remains.
At the end of the second month, the female gives birth, leaving two pairs of rabbits. When month three rolls around, the original pair of rabbits produce yet another pair of newborns while their earlier offspring grow to adulthood.
This leaves three pairs of rabbit, two of which will give birth to two more pairs the following month. The order goes as follows: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and on to infinity. Basically, number is the sum of the previous two. This series of numbers is known as the Fibonacci numbers or the Fibonacci sequence. The ratio between the numbers in the Fibonacci sequence 1. Want to see how these fascinating numbers are expressed in nature?
No need to visit your local pet store; all you have to do is look around you. While some plant seeds, petals and branches, etc. And just because a series of numbers can be applied to an object, that doesn't necessarily imply there's any correlation between figures and reality. As with numerological superstitions such as famous people dying in sets of three , sometimes a coincidence is just a coincidence.
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And for the winners, production of animated short films! Source: Wikipedia. He thus got Leonardo to study, under the guidance of a Muslim teacher, who guided him in learning calculation techniques, especially those concerning Indo-Arabic numbers, which had not yet been introduced in Europe.
Source: Oilproject. An important characteristic of the sequence is the fact that the ratio between any number and the previous one in the series tends towards a well-defined value: 1. In the sunflower, individual flowers are arranged along curved lines which rotate clockwise and counterclockwise. It was Kepler who noted that on many types of trees the leaves are aligned in a pattern that includes two Fibonacci numbers.
Arrangement of leaves on a stem. At points, their seed heads get so packed that their number can get extremely high, sometimes as much as and more. When analysing these spirals, the number is almost always Fibonacci. You are an example of the beauty of the Fibonacci Sequence. The human body has various representations of the Fibonacci Sequence proportions, from your face to your ear to your hands. You have now been proven to be mathematically gorgeous.
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