"The fibonacci sequence" Essays and Research Papers

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    The Fibonacci principle is often defined as the Fibonacci sequence. The Fibonacci sequence starts at 0 and then the next number is found by adding the two numbers before it. This sequence is seen in sunflower through their seed arrangement; other flowers also show the Fibonacci sequence in the number of petals the flowers have. The problem is that the Fibonacci sequence found in the flowers may just be a result of the laws of physics and

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    was con-sidered to be one of the most talented mathematicians in the Middle Ages. However‚ He was better known by his nickname Fibonacci‚ as many famoustheorems were named after it. In addition to that‚ Fibonacci himself some-times used the name Bigollo‚ which means good-for-nothing or a traveller. Thisis probably because his father held a diplomatic post‚ and Fibonacci travelledwidely with him. Although he was born in Italy‚ he was educated in NorthAfrica and he was taught mathematics in Bugia.

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    Golden Mean

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    from this very smart man named Leonardo Bonacci‚ also known as Fibonacci. Fibonacci was a very important mathematician in Europe; he is believed to be the first. He learned with Arabic mathematicians and had an Arabic learning background to math. Fibonacci had this idea of counting how many rabbits are produced in a yearí ĉ. Fibonacci started with a pair of rabbits. The next month he had a new pair‚ as well the next one too. Fibonacci started working for a solution‚ as the months continued‚ he noticed

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    Golden Ratio

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    The Golden Ratio Body‚ art‚ music‚ architecture‚ nature – all connected by a simple irrational number – the Golden Ratio. According to Posamentier & Lehmann in their work The (Fabulous) Fibonacci Numbers‚ there is reason to believe that the letter φ (phi) was used because it is the first letter of the name of the celebrated Greek sculptor Phidias (490-430 BCE). He produced the famous statue of Zeus in the Temple of Olympia and supervised the construction of the Parthenon in Athens

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    Golden Rectangle

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    (Hom) Fibonacci discovered the unique properties of the Fibonacci sequence. This sequence ties directly into the Golden ratio because if you take any two successive Fibonacci numbers‚ their ratio is very close to the Golden ratio. As the numbers get higher‚ the ratio becomes even closer to 1.618. For example‚ the ratio of 3 to 5 is 1.666. But the ratio of 13 to 21 is 1.625. Getting even higher‚ the ratio of 144 to 233 is 1.618. These numbers are all successive numbers in the Fibonacci sequence. These

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    Little Prince

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    The plot above shows the first 511 terms of the Fibonacci sequence represented in binary‚ revealing an interesting pattern of hollow and filled triangles (Pegg 2003). A fractal-like series of white triangles appears on the bottom edge‚ due in part to the fact that the binary representation of  ends in  zeros. Many other similar properties exist. The Fibonacci numbers give the number of pairs of rabbits  months after a single pair begins breeding (and newly born bunnies are assumed to begin breeding

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    Esssay

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    Compute any number in the Fibonacci Series easily! Here are two ways you can use phi to compute the nth number in the Fibonacci series (fn). If you consider 0 in the Fibonacci series to correspond to n = 0‚ use this formula: fn = Phi n / 5½ Perhaps a better way is to consider 0 in the Fibonacci series to correspond to the 1st Fibonacci number where n = 1 for 0. Then you can use this formula‚ discovered and contributed by Jordan Malachi Dant in April 2005: fn = Phi n / (Phi + 2) Both approaches

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    Maths Importance

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    Description | Proiect-1 | Exploring Fibonacci numbers. | 1. Fibonacci numbers are a sequence of numbers i.e. 1‚1‚2‚3‚ 5‚ 8‚13‚ 21‚34 … .The first number of the sequence is 1‚ the second number is 1‚ and next term is equal to the sum of the previous two numbers of the sequence itself.2.  Write the next 20 terms of the sequence generated by it.3.  History of the mathematician who gave this concept.4. Explore in nature the things that correspond to Fibonacci numbers with pictures.For example:

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    Leonardo da Pisa Leonardo da Pisa‚ whose original name was Leonardo Fibonacci‚ was an Italian mathematician during the medieval era. He was born in 1170 and died around 1240‚ Leonardo da Pisa also wrote Liber abaci in 1202 (also known as the “Book of Abacus”) which was the first Indian and Arabian mathematics book in Europe ("Leonardo Pisano‚" par. 1-2). There is not much that is known about Leonardo da Pisa’s life except that he was the son of a merchant. Leonardo traveled to several countries

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    Math and Music

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    HOW IS MATH USED IN MUSIC? Math can be used in music in many different ways. Music theorists often use mathematics to understand music‚ and although music is evidently abstract in modern mathematics‚ mathematics is “the basis of sound” and sound itself “in its musical aspects exhibits a remarkable array of number properties.” The average person lacking in great knowledge of math and musical theories would not categorize mathematics with music. In actuality‚ math and music are related‚ and we use

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