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  1. 1. Introduction:-Fibonaccis full name was Leonardo of Pisa, (or Leonardo Pisano in Italian). He was bornin Pisa, Italy. He was born in the year 1182.He died in the year 1226. His name wasshort for Filius Bonacci, which means theson of Bonacci. He combined two of hisnames to get Fibonacci. He combined Filiusand Bonacci. His nickname might mean"Lucky Son".
  2. 2. For Example:-A man puts a pair of rabbits in a place  surrounded on all sides by a wall . How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair which from the second month on becomes productive?
  3. 3. Answer This produces  1 2 3 5 8 13 21 34 55 89 144 233The answer is 233 pairs of rabbits. (It would be 4096 pairs if the number doubledevery month for 12 months.)Let’s look carefully at fibonacci.m. It’s a good example of how to create aMatlab function.
  4. 4. Fibonacci in Nature Plants do not know about this sequence – They justgrow in the most efficient ways. Many plants show theFibonacci numbers in the arrangement of the leavesaround the stem. Some pine cones and fir cones alsoshow the numbers, as do daisies and sunflowers.Sunflowers can contain the number 89, or even 144.
  5. 5. Where is fibonacci is seen? 
  6. 6. Fibonacci in Plants Phyllotaxis is the study of the ordered position of leaves on astem. The leaves on this plant are staggered in a spiral patternto permit optimum exposure to sunlight. If we apply theGolden Ratio to a circle we can see how it is that this plantexhibits Fibonacci qualities. Click on the picture to see a moredetailed illustration of leaf arrangements.
  7. 7. Fibonacci Petals  3 petals lily, iris 5 petals buttercup, wild rose, larkspur, columbine 8 petals delphiniums 13 petals ragwort, corn marigold, cineraria 21 petals aster, black-eyed susan, chicory 34 petals plantain, pytethrum 55, 89 petals michelmas daisies, the asteraceae familyThe occurrence of Fibonacci Numbers in Nature is interesting butthe ratio of consecutive Fibonacci Numbers is important.
  8. 8. Fibonacci In Fruits  Example of pine-apple:- In the case of tapered pinecones or pineapples,we see a double set of spirals – one going in a clockwisedirection and one in the opposite direction. When thesespirals are counted, the two sets are found to beadjacent Fibonacci numbers.
  9. 9. Fibonacci in human beings Humans exhibit Fibonacci characteristics, too. The Golden Ratio is seen in the proportions in the sections of afinger. It is also worthwhile to mention that we have 8 fingers in total,5 digits on each hand, 3 bones in each finger, 2 bones in 1 thumb,and 1 thumb on each hand. The ratio between the forearm and the hand is the GoldenRatio!
  10. 10. Conclusion The Fibonacci method should only be used in acombination with other methods, and theresults derived should be considered justanother point in favor of a decision if theycoincide with the results produced by the othermethods in the combination.
  11. 11. Presented by:- 