7 Fibonacci Sequence Examples in Nature | The Odyssey Online
Start writing a post
Entertainment

Fibonacci Sequence Examples: 7 Beautiful Instances In Nature

Nature is beautiful (and so is math). The last one will blow your mind.

250939
illustration of the fibonacci sequence
StableDiffusion

Yes, the math major is doing a math-related post. What are the odds? I'll have to calculate it later. Many people have probably learned about the Fibonacci sequence in their high school math classes. However, I thought I would just refresh everyone's memories and show how math can be beautiful and apply to physical things everywhere around us with stunning examples.

Math doesn't have to be anxiety-inducing or tax calculating; it can be cool and amazing too. For those who are unfamiliar, Fibonacci (real name Leonardo Bonacci) was a mathematician who developed the Fibonacci sequence. The sequence is found by adding the previous two numbers of the sequence together. It looks like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34... And on it goes.

The Fibonacci sequence is found all throughout nature, too. It is a natural occurrence that different things develop based upon the sequence.

1. Shells

a closeup of a shell on a sandy beach that starts tiny and spirals into larger StableDiffusion

As you may have guessed by the curve in the box example above, shells follow the progressive proportional increase of the Fibonacci sequence. Shells are probably the most famous example of the sequence because the lines are very clean and clear to see. They are also fun to collect and display. And then, there you have it! You're own little piece of math.

2. Trees

branches of a tree that spiral into a larger and larger tree with the fibonacci sequence StableDiffusion

Tree -- we see them everywhere, but do you look and analyze the structure of how the branches grow out of the tree and each other? No, because you're normal and have better things to do. But if you did, you would see the Fibonacci sequence evolve out of the trunk and spiral and grow the taller and larger the tree becomes. Some truly majestic trees are in existence today, utilizing this pattern.

3. Flower Pistils

pistils of a flower grow larger and larger with the fibonacci sequence StableDiffusion

The part of the flower in the middle of the petals (the pistil) follows the Fibonacci sequence much more intensely than other pieces of nature, but the result is an incredible piece of art. The pattern formed by the curve the sequence creates used repeatedly produces a lovely and intricate design.

4. Flower Petals

petals of a flower spiraling to grow larger and larger StableDiffusion

Flowers of all kinds follow the pattern, but roses are my favorite kind to use as an example of the Fibonacci sequence. I like it because the petals aren't spread out and the spiral is more obvious and clear, like with the shell. The petals unfold more and more and the sequence increases. Roses are beautiful (and so is math).

5. Leaves

leaves spiraling to grow larger and larger StableDiffusion

Leaves follow Fibonacci both when growing off branches and stems and in their veins. I, personally, find the veins much more interesting and amazing to look at. Similar to a tree, leaf veins branch off more and more in the outward proportional increments of the Fibonacci sequence.

6. Storms

eye of hurricane on a radar spiraling to grow larger and larger StableDiffusion

Specifically hurricanes and tornadoes, many storm systems follow the Fibonacci sequence. I suppose this is not beautiful, but more interesting. On a map, at least, hurricanes look cool. I guess we could say this example proves math can be beautiful and destructive.

7. You!

fibonacci sequence as seen on a human face

Yes! You are an example of the beauty of the Fibonacci sequence. The human body has various representations of the Fibonacci sequence proportions, from your face to your ear to your hands and beyond! You have now been proven to be mathematically gorgeous, so go forth and be beautiful! ...and maybe think math is a little bit better than you first thought?

Report this Content
Adulting

18 Things I Want To Do Now That I'm 18

I'm technically an adult, so I'm legally required to live a little, right?

676
Happy Birthday Cake

For the entirety of my high school career, I was always seen as the goody-two-shoes. I never got in trouble with a teacher, I kept stellar grades, and when I wasn't doing extracurricular activities, I was at home studying. Even when I did go out, it was usually with a bunch of fellow band geeks. The night would end before 11:00 PM and the only controversial activity would be a fight based on who unfairly won a round of Apples-to-Apples when someone else clearly had a better card (I promise I'm not still holding a grudge).

Now that I'm officially an adult, I want to pursue some new things. I want to experience life in a way that I never allowed myself to do prior to entering college. These are the years that I'm supposed to embark on a journey of self-discovery, so what better way to do that than to create a bucket list?

Keep Reading...Show less
Featured

10 Life Lessons from Christmas Classics

The holiday classics that shaped my life

433
10 Life Lessons from Christmas Classics
Flickr

The holiday season is full of stress, debt, and forced conversation. While we rush through the month of December, it's important to take a step back and enjoy the moments before they're gone. Most families love to watch Christmas movies, but these beloved films provide more than entertainment. Here are 10 life lessons that I've learned from the holiday classics we watch every year.

Keep Reading...Show less
Entertainment

Most Epic Aurora Borealis Photos: October 2024

As if May wasn't enough, a truly spectacular Northern Lights show lit up the sky on Oct. 10, 2024

20411
stunning aurora borealis display over a forest of trees and lake
StableDiffusion

From sea to shining sea, the United States was uniquely positioned for an incredible Aurora Borealis display on Thursday, Oct. 10, 2024, going into Friday, Oct. 11.

It was the second time this year after an historic geomagnetic storm in May 2024. Those Northern Lights were visible in Europe and North America, just like this latest rendition.

Keep Reading...Show less
 silhouette of a woman on the beach at sunrise
StableDiffusion

Content warning: This article contains descriptions of suicide/suicidal thoughts.

When you are feeling down, please know that there are many reasons to keep living.

Keep Reading...Show less
Relationships

Power of Love Letters

I don't think I say it enough...

462036
Illistrated image of a letter with 2 red hearts
StableDiffusion

To My Loving Boyfriend,

  • Thank you for all that you do for me
  • Thank you for working through disagreements with me
  • Thank you for always supporting me
  • I appreciate you more than words can express
  • You have helped me grow and become a better person
  • I can't wait to see where life takes us next
  • I promise to cherish every moment with you
  • Thank you for being my best friend and confidante
  • I love you and everything you do

To start off, here's something I don't say nearly enough: thank you. Thank you, thank you, thank you from the bottom of my heart. You do so much for me that I can't even put into words how much I appreciate everything you do - and have done - for me over the course of our relationship so far. While every couple has their fair share of tiffs and disagreements, thank you for getting through all of them with me and making us a better couple at the other end. With any argument, we don't just throw in the towel and say we're done, but we work towards a solution that puts us in a greater place each day. Thank you for always working with me and never giving up on us.

Keep Reading...Show less

Subscribe to Our Newsletter

Facebook Comments