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# Fibonacci

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Introduction to Fibonacci's Sequence

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### Fibonacci

1. 1. Fibonacci in Real Life Jody Hollister
2. 2. Fibo-who? <ul><li>- Leonardo Fibonacci </li></ul><ul><li>  </li></ul><ul><li>- Italian Mathematician </li></ul><ul><li>  </li></ul><ul><li>- Wrote Liber Abaci </li></ul><ul><li>  </li></ul><ul><li>- Did not discover sequence </li></ul><ul><li>  </li></ul><ul><li>- Used famous sequence as example in book </li></ul>
3. 3. Fibonacci Sequence <ul><li>1, 1, 2, 3, 5, 8, 13, 21, 34, ... </li></ul><ul><li>  </li></ul><ul><li>- Formed by adding the preceding two numbers together. </li></ul><ul><li>  </li></ul><ul><li>- Ex: Fifth number (5) is formed by adding third and fourth (2 + 3) </li></ul>
4. 4. Fibonacci in Nature <ul><li>- Fibonacci numbers are all around us </li></ul><ul><li>  </li></ul><ul><li>- &quot;Nature's Mystery&quot; </li></ul><ul><li>  </li></ul><ul><li>- Show up in other art, arcitecture, and nature </li></ul>
5. 5. Fibonacci in Flowers <ul><li>- Number of petals </li></ul><ul><li>  </li></ul><ul><li>- Pattern of leaves </li></ul><ul><li>  </li></ul><ul><li>- Spirals in center </li></ul>
6. 6. Fibonacci in Fruit <ul><li>- Number of seeds </li></ul><ul><li>  </li></ul><ul><li>- Patterns on outer layer </li></ul><ul><li>  </li></ul>
7. 7. Fibonacci in Vegetables <ul><li>- Spirals in certain vegetables </li></ul><ul><li>  </li></ul><ul><li>- Fractal patterns </li></ul>
8. 8. Fibonacci and the Golden Ratio <ul><li>- Ratio derived from Fibonacci Sequence </li></ul><ul><li>  </li></ul><ul><li>- Found in: </li></ul><ul><li>         - art </li></ul><ul><li>         - architecture </li></ul><ul><li>         - nature </li></ul>
9. 9. Golden Ratio <ul><li>- 1 : 1.61... </li></ul><ul><li>  </li></ul><ul><li>- Derived from Fibonacci and denoted by the Greek letter &quot;phi&quot; </li></ul>
10. 10. Golden Ratio in Humans <ul><li>- Ratio of bones </li></ul><ul><li>  </li></ul><ul><li>- Ratio of facial features </li></ul>