this ppt will let you know intresting things about Fibonacii

2. Introduction:-
Fibonacci's full name was Leonardo of Pisa,

(or Leonardo Pisano in Italian). He was born
in Pisa, Italy. He was born in the year 1182.
He died in the year 1226. His name was
short for Filius Bonacci, which means the
son of Bonacci. He combined two of his
names to get Fibonacci. He combined Filius
and Bonacci. His nickname might mean
"Lucky Son".

3. 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?

4. Answer
This produces

1
2
3
5
8
13
21
34
55
89
144
233
The answer is 233 pairs of rabbits. (It would be 4096 pairs if the number doubled
every month for 12 months.)
Let’s look carefully at fibonacci.m. It’s a good example of how to create a
Matlab function.

5. Fibonacci in Nature

Plants do not know about this sequence – They just
grow in the most efficient ways. Many plants show the
Fibonacci numbers in the arrangement of the leaves
around the stem. Some pine cones and fir cones also
show the numbers, as do daisies and sunflowers.
Sunflowers can contain the number 89, or even 144.

6. Where is fibonacci is
seen?


7. Fibonacci in Plants

Phyllotaxis is the study of the ordered position of leaves on a
stem. The leaves on this plant are staggered in a spiral pattern
to permit optimum exposure to sunlight. If we apply the
Golden Ratio to a circle we can see how it is that this plant
exhibits Fibonacci qualities. Click on the picture to see a more
detailed illustration of leaf arrangements.

8. 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 family
The occurrence of Fibonacci Numbers in Nature is interesting but
the ratio of consecutive Fibonacci Numbers is important.

9. 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 clockwise
direction and one in the opposite direction. When these
spirals are counted, the two sets are found to be
adjacent Fibonacci numbers.

10. Fibonacci in human beings

Humans exhibit Fibonacci characteristics, too.
The Golden Ratio is seen in the proportions in the sections of a
finger.
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 Golden
Ratio!

11. Conclusion

The Fibonacci method should only be used in a
combination with other methods, and the
results derived should be considered just
another point in favor of a decision if they
coincide with the results produced by the other
methods in the combination.

12. Presented by:-
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