This blog deals with the knowledge of Sacred Geometry. In this blog, we try to figure out the Golden Spiral, Golden Ratio, Golden angle and Fibonacci Numbers in Leaf arrangements, Petals, and branches of plants. To understand the topic clearly, please read with your complete attention. I gauntree this post will blow off your mind. Don’t forget to rate, comment and share if this blog opens up your mind to the hidden sacred knowledge.

Nature is unpredictable. It is beautiful and mysterious beyond imagination. Plants are sustaining all human beings on this planet. Life can not exist on earth if there is no oxygen produced by these plants. Therefore, the study of plants becomes important to the science. The branch of Science, which deals with the study of plants is called Botany.

In 1754; Charles Bonnet coined the word Phyllotaxis which means ‘arrangement of leafs‘. In the 1830s, two brothers discovered that each new leaf on a plant stem was arranged at a particular angle with each other. This angle was calculated to be around 137.5 degrees. Botanists examined few common plants again and again for years after years and observed that plant kingdom also follows the same rule.

So why 37.5 degrees everytime? Has anyone instructed nature to work that way? Is our nature pre-programmed?

Maybe! But we won’t be dive into spirituality in this article. We will just be looking at some of the natural patterns with the help of sacred geometry and try to decode the mysterious design of our nature.

Remember Fibonacci sequence is the basis of all the knowledge we will be talking about. The series starts with 0 and 1, then the next digit is the sum of its preceding two digits. See how it looks-

0, 1, 1, 2, 3, 5, 8, 13, 21…..and so on towards infinity.

If you pick up any two consecutive numbers from the series and divide the second digit with the first one, you will get something around 1.6

0/1 = 0
1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.66666666667
8/5 = 1.6

Now, on further calculations, the ratio remains to be around 1.618. This ratio is maintained throughout the series and therefore it is called The Golden Ratio. This ratio is found almost everywhere like in plants, animals, overall human body, individual parts of a body, cells, neurons, eyes, fingers etc. Even in designs of mountains, water ripples, wind flow, and plants.

So how we know about this magical number? Well, no one knows! Few stories say that when Fibonacci visited India, he came to know about this amazing series from the mystics of India. Later, the series was known as Fibonacci series. This magical number was widely used in ancient architecture to create massive structures, in temples, and even the colony layouts.

Once you grasp the basic concepts of this series, numbers of Fibonacci in nature can be perceived easily. So let’s begin with the intelligent design of the plants.

Leaf Arrangement (Phyllotaxis)

According to botany, the arrangement of leaves on a plant stem is known as Phyllotaxis. Leaves arrangement are classified into three types-
leaf arrangements

1. Alternate

Plant stem with the alternate spiral arrangement of leaves arranged in alternating order and have only one leaf per node.

2. Opposite

In plants with opposite leaf arrangement, leaves are opposite to each other and pair of leaves unite at a node.

3. Whorled

In the whorled arrangement, three or more leaves connect at a node.

Number of Petals

Plants with total flower petals same as any fibonacci numbers are very common in nature. You can easily find flowers with 0,1,2,3,5,8 or more petals. Flowers with 5 petals are most common in nature.

0 Petals

Cord-Grass (Spartina alterniflora)
Cottonweed (Achillea Maritima)
Couch Sand (Elymus juncea)
Marsh Cudweed (Gnaphalium uliginosum)

1 Petals

White Calla Lily (Zantedeschia aethiopica)

2 Petals

Euphorbia (Spurge)

3 Petals

Lilies (Lilium)
Irises (Iris)
Birthroot (Trillium)

5 Petals (Most common number of Petals)

Buttercups (Ranunculus)
Wild Roses (Rosa acicularis)
Columbine (Aquilegia)
Cranesbills (Geraniums)
Pansies (Viola tricolor)
Primroses (Primula vulgaris)
Rhododendrons (Rhododendron)

8 Petals

Larkspur (Delphiniums)
Bloodroot (Sanguinaria Canadensis)

13 Petals

Black-eyed Susan (Rudbeckia hirta)
Mayweed (Anthemis cotula)

21 Petals

Chicory (Cichorium)
Shasta Daisy (Leucanthemum)
Aster (Asteraceae)

34 Petals

Daisy (Bellis perennis)
Pyrethrum (Chrysanthemum or Tanacetum)

55 Petals

Helenium (Helenium autumnale)

You can easily find flowers with four petals(poppy, spring cress, cut-leaf toothwort, forsythia, mint), six (snowdrop, tulip, gladiolus, iris, lily), seven (starflower), or nine (Magnolia grandiflora) petals. Other flowers are having four or six petals also have a deep relation with Fibonacci numbers where they can be grouped into two and three respectively having two members each.

As per Darwinian processes, each petal is placed at 0.618034 per turn (out of a 360° circle). This angular arrangement exposes the plants completely to receive sunlight and rain in highly efficient manner.


Easiest study on branch growth can be done on Sneezewort (Achillea ptarmica). New shoots grow out at a point where the leaf meets the main stem of a plant. The same pattern was shown by the Fibonacci Rabbits.
fibonacci numbers in sneezewort (Achillea ptarmica)


Golden Ratio can be easily seen in the venation of plants leaf. I have drawn over this picture which shows the hidden divine ratio in the veins of a leaf.Fibonacci in Venation


The design of Sunflower seeds also follows the same rule shared by Pinecones, Pineapple and other fruits and flowers. In this picture, you can see the spirals arranged in two directions (clockwise and anti-clockwise). On summing the numbers of spirals in each direction, we can see the two consecutive Fibonacci numbers. If we divide the clockwise spirals and anti-clockwise spirals, we will get the golden ratio. These spirals are arranged according to the golden angle.


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