The fibonacci sequence
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The Fibonacci sequence is a sequence where each number is the sum of the two preceding numbers. This sequence appears frequently in nature, such as the spiral patterns of shells, flowers, pine cones, and galaxies. The golden ratio is the number approximately equal to 1.6180 that results from dividing any number in the Fibonacci sequence by its predecessor. Both the Fibonacci sequence and golden ratio are found in architecture, like the Parthenon, as well as in music scales.
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- 1. The Fibonacci Sequence and the Golden Ratio
- 2. Leonardo da Pisa – Fibonacci Fibonacci is the greatest European mathematician of the middle ages Born in 1170 and died in 1240 He introduced the Arabic number system in Europe
- 3. Fibonacci Sequence The sequence in which each number is the SUM of the two preceding numbers + + + + + + + +++ 1 2 3 5 8 13 21 34 55 89 2331441 +
- 4. The Fibonacci sequence in nature: Flowers 1 Petal 5 Petals3 Petals 8 Petals 13 Petals
- 5. The Fibonacci sequence in nature: Spirals Nautilus Shell Cauliflower Pine Conehttps://www.mathsisfun.com/numbers/nature-golden-ratio-fibonacci.html Why do we find the Fibonacci sequence in nature? Does nature study mathematics? Hurricane Galaxy
- 6. The Golden Ratio : : :: 55 89 144 233 377 Every number of the Fibonacci sequence divided for the preceding one is always: 1.61801.61801.61801.6180
- 9. The Golden Rectangle: Nature and architecture Ear Egg Rose Parthenon
- 10. The Fibonacci Sequence: Music In an octave there are 13 keys: 8 are white and 5 are black
- 11. To sum up The Fibonacci sequence: A sequence in which every number is the SUM of the preceding two The Golden Rectangle: A rectangle built according to the Fibonacci sequence The Golden Ratio: The number you get DIVIDING a number of the Fibonacci sequence for the preceding one: 1.6180