point of efficiently is related to the golden ratio. Another interesting phenomenon, and one which may reveal the mystery of why plants behave so regularly in conjunction with the Fibonacci sequence, are the spirals shown by plants. They showed beauty in their paintings by using the golden ratio because it is pleasing to the eye. Upon close inspection, you will find two different spirals, one vertically and another horizontally, all of which come in Fibonacci numbers. In the seed head however this is not a problem so why has evolution adapted to use it? He did an entire exploration of the human body and the ratios of the lengths of various body parts. As interesting as finding them in the real world is, it doesn t come close the intrigue which lies behind the way we can use them to our own advantage. Although it was Fibonacci himself that discovered the sequence of numbers, it was French mathematician, Edouard Lucas who gave the actual name of "Fibonacci numbers" to the series of numbers that was first mentioned by Fibonacci in his book. The same principle applies to the pinecone. As humans, along with the rest of nature, are hotwired to apply the golden proportions, some of the human applications are some of the most remarkable. It is clear from this then that we have known for many years that the golden or divine proportion has visually pleasing qualities and unknown to us, it can be found almost everywhere we look as a direct result.

Free Essay: Leonardo of Pisa, better known as Fibonacci, was born in Pisa, Italy, about 1175. He was known as the greatest mathematician of the middle. Free Essay: The Golden Ratio Certain pictures, objects, and animals appeal to the human mind more than others.

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Especially of interest is what occurs when we look at the ratios of successive numbers. However its man-made applications are not its only uses, it can be applied to create another, much more stunning shape - the logarithmic spiral. Instead, his great passions were mathematics and the natural world, and he compiled volumes of detailed drawings and notes on anatomy, botany, geology, meteorology, architectural design, and mechanics. This is only one of the many examples of golden ratio in the body. February, there is now one adult pair and a new born pair of immature rabbits. Many artefacts of the era from urns and vases to Afrodita's sculpture (right) and temples all extensively used the proportion. Toward the end of his life math, particularly the golden ratio, began to dominate everything he created. Over the next two centuries many scholars investigated the sequence, deriving formulas and functions. The Fibonacci numbers play a significant role in nature and in art and architecture. It is in these cities that he became famous.