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FIBONACCI NUMBERS In NATURE

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Presentation on theme: "FIBONACCI NUMBERS In NATURE"— Presentation transcript:

1 FIBONACCI NUMBERS In NATURE

2 Probably most of us have never taken the time to examine very carefully the number or arrangement of petals on a flower. If we were to do so, several things would become apparent. First, we would find that the number of petals on a flower is often one of the Fibonacci numbers. One-petalled ...   white calla lily 1

3 Two-petalled flowers are not common.  
euphorbia 2

4 Three petals are more common.  
trillium 3

5 There are hundreds of species, both wild and cultivated, with five petals.  
columbine 5

6 Eight-petalled flowers are not so common as five-petalled, but there are quite a number of well-known species with eight.   bloodroot 8

7 Thirteen, ...   black-eyed susan 13

8 Twenty-one and thirty-four petals are also quite common
Twenty-one and thirty-four petals are also quite common. The outer ring of ray florets in the daisy family illustrate the Fibonacci sequence extremely well. Daisies with 13, 21, 34, 55 or 89 petals are quite common.   shasta daisy with 21 petals 21

9 Ordinary field daisies have 34 petals
Ordinary field daisies have 34 petals ... a fact to be taken in consideration when playing "she loves me, she loves me not". In saying that daisies have 34 petals, one is generalizing about the species - but any individual member of the species may deviate from this general pattern. There is more likelihood of a possible under development than over-development, so that 33 is more common than 35. 34

10

11 Look at your own hand 1 1 2 3 5 Each of us has … right hand.
Each of us has … left hand. Each hand has … fingers. Each finger has … parts separated by … knuckles. Is this just a coincidence or not ?????

12 Watch carefully the figures and the numbers

13

14 What is the tenth number? 11th? What is the rule?
LOOK AT THE PATTERN ? ? What is the tenth number? 11th? What is the rule?

15 Look at the figures Draw the 3rd and 4th figures Describe the rule of the pattern


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