7 Beautiful Examples Of The Fibonacci Sequence In Nature

7 Beautiful Examples Of The Fibonacci Sequence In Nature

Nature is beautiful (and so is math).
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Yes, the math major is indeed doing a math-related post. What are the odds? Hold on, I will have to calculate it later. Many people have probably learned about Fibonacci 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. 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. This pattern can also be seen as:

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

1. Shells

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

Tree -- we see them everywhere, but do you look and analyse 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

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

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 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

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!

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?

Cover Image Credit: https://hrexach.files.wordpress.com/2014/12/fib6.jpg

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When You Give A Girl A Dad

You give her everything
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They say that any male can be a father, but it takes a special person to be a dad. That dads are just the people that created the child, so to speak, but rather, dads raise their children to be the best they can be. Further, when you give a little girl a dad, you give her much more than a father; you give her the world in one man.


When you give a girl a dad, you give her a rock.

Life is tough, and life is constantly changing directions and route. In a world that's never not moving, a girl needs something stable. She needs something that won't let her be alone; someone that's going to be there when life is going great, and someone who is going to be there for her when life is everything but ideal. Dads don't give up on this daughters, they never will.


When you give a girl a dad, you give her a role model.

If we never had someone to look up to, we would never have someone to strive to be. When you give a little girl someone to look up to, you give her someone to be. We copy their mannerisms, we copy their habits, and we copy their work ethic. Little girls need someone to show them the world, so that they can create their own.


When you give a girl a dad, you give her the first boy she will ever love.

And I'm not really sure someone will ever be better than him either. He's the first guy to take your heart, and every person you love after him is just a comparison to his endless, unmatchable love. He shows you your worth, and he shows you what your should be treated like: a princess.


When you give a girl a dad, you give her someone to make proud.

After every softball game, soccer tournament, cheerleading competition, etc., you can find every little girl looking up to their dads for their approval. Later in life, they look to their dad with their grades, internships, and little accomplishments. Dads are the reason we try so hard to be the best we can be. Dads raised us to be the very best at whatever we chose to do, and they were there to support you through everything. They are the hardest critics, but they are always your biggest fans.


When you give a girl a dad, you give her a credit card.

It's completely true. Dads are the reason we have the things we have, thank the Lord. He's the best to shop with too, since he usually remains outside the store the entire time till he is summoned in to forge the bill. All seriousness, they always give their little girls more than they give themselves, and that's something we love so much about you.


When you give a girl a dad, you give her a shoulder to cry on.

When you fell down and cut yourself, your mom looked at you and told you to suck it up. But your dad, on the other hand, got down on the ground with you, and he let you cry. Then later on, when you made a mistake, or broke up with a boy, or just got sad, he was there to dry your tears and tell you everything was going to be okay, especially when you thought the world was crashing down. He will always be there to tell you everything is going to be okay, even when they don't know if everything is going to be okay. That's his job.


When you give a girl a dad, you give her a lifelong best friend.

My dad was my first best friend, and he will be my last. He's stood by me when times got tough, he carried me when I just couldn't do it anymore, and he yelled at me when I deserved it; but the one thing he has never done was give up on me. He will always be the first person I tell good news to, and the last person I ever want to disappoint. He's everything I could ever want in a best friend and more.


Dads are something out of a fairytale. They are your prince charming, your knight in shinny amour, and your fairy godfather. Dads are the reasons we are the people we are today; something that a million "thank you"' will never be enough for.

Cover Image Credit: tristen duhon

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15 Thing Only Early 2000's Kids Will Understand

"Get connected for free, with education connection"

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This is it early 2000's babies, a compilation finally made for you. This list is loaded with things that will make you swoon with nostalgia.

1. Not being accepted by the late 90's kids.

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Contrary to what one may think, late 90's and early 00's kids had the same childhood, but whenever a 00's kid says they remember something on an "only 90's kids will understand" post they are ridiculed.

2. Fortune tellers.

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Every day in elementary school you would whip one of these bad boys out of your desk, and proceed to tell all of your classmates what lifestyle they were going to live and who they were going to marry.

3.Bunnicula

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You could never read this book past 8 o'clock at night out of fear that your beloved pet rabbit would come after you.

4. Silly bands.

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You vividly remember begging your parents to buy you $10 worth of cheap rubber bands that vaguely resembles the shape of an everyday object.

5. Parachutes.

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The joy and excitement that washed over you whenever you saw the gym teacher pull out the huge rainbow parachute. The adrenaline that pumped through your veins whenever your gym teacher tells you the pull the chute under you and sit to make a huge "fort".

6. Putty Erasers

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You always bought one whenever there was a school store.

7. iPod shuffle.

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The smallest, least technological iPpd apple has made, made you the coolest kid at the bus stop.

8. "Education Connection"

You knew EVERY wood to the "Education Connection" commercials. Every. Single.Word.

9. " The Naked Brothers Band"

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The "Naked Brothers Band" had a short run on Nickelodeon and wrote some absolute bangers including, "Crazy Car' and "I Don't Wanna Go To School"

10. Dance Dance Revolution

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This one video game caused so many sibling, friend, and parent rivalries. This is also where you learned all of your super sick dance moves.

11. Tamagotchi

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Going to school with fear of your Tamagotchi dying while you were away was your biggest worry.

12. Gym Scooters

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You, or somebody you know most likely broke or jammed their finger on one of these bad boys, but it was worth it.

13. Scholastic book fairs

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Begging your parents for money to buy a new book, and then actually spending it on pens, pencils, erasers, and posters.

14.Go-Gurt

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Who knew that putting yogurt in a plastic tube made it taste so much better?

15. Slap Bracelets

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Your school probably banned these for being "too dangerous".

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