Flowers

When we take a stroll in the park and notice the pretty flowers lining our sidewalks, we hardly take time to look into the mathematic beauty of it all. What kind of math you might ask? Specifically, the Fibonacci numbers.

First things first, if one were mildly observant, he or she would count the petals on a flower.

There are the flowers with 1 petal:

Flower1

 

 

 

 

Flowers with 2 petals:

 

 

Flower2

 

 

 

Flowers with 3 petals:

 

Flower3

 

 

Flowers with 5 petals:

Flower6

 

 

 

Flowers with 8 petals:

 

Flower4

 

 

And…. The list goes on. There are Black-eyed Susans with 13 petals, daisies with 21, and 34 petals. Overall, we see a pattern of: 1, 2, 3, 5, 8, 13, 21, 34 and so on. This is a clear example of the Fibonacci sequence starting at 1.

 

However, you can also find the Fibonacci sequence starting on 13 through just ordinary field daisies. There are daisies with 13, 21, 34, 55 and even 89 petals; these are all prime examples of the Fibonacci sequence.

 

Although petal number is intriguing, if one looked even closer into the stems of a simple plant, you could also find the pronounced Fibonacci sequence. For example this is a diagram of a grown sneezewort:

 

 

Flower5
If you draw lines through the flower’s axils, you’ll see that the number of branches up each level represent the Fibonacci number sequence
Flower7

 

The number of leaves up each level, also represents the Fibonacci Sequence!

Flower8

 

The Fibonacci pattern also occurs in tree growth with the number of branches from bottom to top in trees.

Flower11