Fibonacci numbers are the numbers where you add the first number with the resultant one and then get the next number.Fibonacci numbers are seen in petals of flowers, growth of trees,growth of stems,fruits etc means every where in nature you can find this series.Example : 1,2, 3, 5, 8, 13, 21, 34, 55, 89, 144,etc.


Fibonacci pattern in flowers :

white calla lily

WHITE CALLA LILY

White calla lily is one of the rarest flowers which have only one petal and it is first number in fibonacci series which is 1.

euphorbia millii

EUPHORBIA MILLII

Euphorbia millii is one of the flowers which have two petals means second number of fibonacci series which is 2.

Trillium

Trillium

Trillium flower is one of them having three petals which is the third digit in fibonacci series which is 3.

 columbine

COLUMBINE(BLUE COLUMBINE)

Columbine flower is cultivated as well as considered as wild flower but the petals are same for both the versions which is five.As it is the fourth number in fibonacci series which is 5.

blood root flower

BLOODROOT

Bloodroot is one of the frequent flowers you can see with five petals but rarely you can see this flowers have eight petals which is the fifth number in the series which is 8.

black eyed susan

BLACK EYED SUSAN

Black-eyed susan is a flower having thirteen(13) petals.This is the sixth number in the series.

shasta daisies

SHASTA DAISY

Shasta daisy is the flower having twenty-one petals. This type of flowers have 21 and 34 petals more in common.

daisies

                                                              COMMON DAISIES

Ordinary field daisies have 34 petals in fact when we consider playing “she loves me” or “she loves me not” we commonly use daisies of 34 petals .But this daisies could deviate from it’s general pattern having petals of 33 and 35 more in common.


Fibonacci pattern in sneezewort :

The association of Fibonacci numbers and plants is not restricted to numbers of petals. Here we have a schematic diagram of a simple plant, the sneezewort. New shoots commonly grow out at an axil, a point where a leaf springs from the main stem of a plant.

 fibonacci numbers   fibonacci numbers

If we draw horizontal lines through the axils, we can detect obvious stages of development in the plant. The main stem produces branch shoots at the beginning of each stage. Branch shoots rest during their first two stages, then produce new branch shoots at the beginning of each subsequent stage. The same law applies to all branches.

branches   leaves

Since this pattern of development mirrors the growth of the rabbits in Fibonacci’s classic problem, it is not surprising then that the number of branches at any stage of development is a Fibonacci number.Furthermore, the number of leaves in any stage will also be a Fibonacci number.


Fibonacci pattern in trees :

The type of growth exhibited by the sneezewort occurs also in simple tree growth, each stage of development lasting one year.

trees   trees2

trees3


Fibonacci pattern in plants :

The schematic diagrams of the sneezewort and tree have been presented as though the plants were flat. This illustrates the development which leads to Fibonacci numbers, but it suppresses the characteristic of a majority of plants that successive leaves or shoots spiral around the main stem as successive stages develop. Suppose we fix our attention on some leaf on the bottom of a stem on which there is a single leaf at any one point.Suppose the bottom most leaf if numbered 0.

plants   plants 2

We count the leaves up the stem until we come to the one which is directly above the starting one, the number we get is generally a term of the Fibonacci sequence.As we see in the diagram there are total 8 leaves.

If we talk about the stem let us count the number we revolve around it.

fibonacci numbers stems   spiral movement of plants

This shows the general sequence of Fibonacci series.Now if we count the number of leaves it can be expressed in ratio. Suppose the number of leaves in sample plant is 8 and number of revolutions are 5 .Our plant is said to have phyllotaxis 5/8. Each species is characterized by its own phyllotaxis. Almost always the ratios encountered are ratios of consecutive or alternate terms of the Fibonacci sequence.

As we have seen Fibonacci series in stems,branches,petals etc in second part we will see in sunflower,pineapple and many more…….