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).

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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12 Signs You're Addicted To Grey's Anatomy


Oh, "Grey’s Anatomy." We have been through so much together. Through the years, we have taken on bombs, shooters, plane crashes, and everything in between. You have loyally stood by me even when I hated you for killing off my favorite characters, or making Merideth and Derek break up. I know that some people may read this and call me crazy, but the real Grey’s fandom can relate. We are the most dedicated group of people you will ever find, almost to the point of insanity…or definitely to the point of insanity. Thinking of diagnosing yourself with Grey's-o-mania? If you meet these 12 criteria, time to strap on your surgical mask and scrub in because you are addicted.

Disclaimer: Spoilers ahead!

1. It has made you want to become a surgeon.

You are lying if all of the drama and medical lingo hasn’t made you consider changing your major at least once.

2. It has also made you NOT want to become a surgeon.

...but then there is all of the blood and the long hours.

3. You compare every guy you meet to Derek Shepherd.

The biggest mystery in all of "Grey’s" is how Meredith took so long to put a ring on that?! I mean, c’mon girl.

4. Hearing the names “Lexie” or “George” may result in an emotional breakdown.

These deaths left us with an open wound that even Mark Sloan’s sutures couldn’t repair.

5. You feel personally attacked every time a character is killed off.

Please refer to #4.

6. You feel like you could actually perform neurosurgery.

I have watched Derek clip so many aneurisms, I could do it in my sleep. Hand me a scalpel and sign me up for a clinical trial, I am ready.

7. You even sat through the musical episode.

Owen Hunt singing around the OR? A little too awkward for most people.

8. Your iTunes library is filled with songs from the show.

“How To Save a Life” by The Fray brings on all kinds of new feels now.

9. The new interns have to prove themselves to you.

Every couple of seasons, they decide to throw us a new crop of interns. This fandom is just as tough as Dr. Bailey when we decide whether these characters have what it takes for "Grey’s Anatomy" though.

10. When a friend is sick, your first thought is to start chest compressions.

After 11 seasons, I am fully prepared for all medical situations. Push one of Epi! We need a crash cart!

11. You have an immediate bond with anyone who says they watch the show.

…Did we just become best friends?

12. You frequently ask yourself “what would Christina Yang do?”

No major decision should EVER be made without asking this first. Of all of the people who have left "Grey’s," her absence is the most strongly felt. No one can replace Christina Yang.

Cover Image Credit: www.eonline.com

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The Breath of Solitude

A Poem With A Prologue // Polar Viewpoints.



She smacks your parted lips,

sucking the dry,

open cracks to a seal.

Pumping energy into your chest

and sending a continuous shiver

from lung to navel.

You can't help but cough,

as your lungs tighten and twist.

Ringing the frosty sensation out –

slipping through your parted lips.

The same parted lips that

allowed her deliberate fingers

to crawl inside

where she can escape her own dimension

of solitude.

The Breath of Solitude

All I know

is solitude.

We chat

every day

in conversations that circulate

behind the backs

of the present.

Solitude grinds my coffee beans,

as we sit

with our legs crossed,

waiting for dawn

to explode over our opaque landscape.

Solitude runs my bath,


as the Sun crashes

against the diminishing horizon.

But none of this is reality.

I am above

the dimension of reality.

Not theoretically,

but physically.

I am only a tool

to be used in the dimension

of your reality.

Drifting in and out,

twirling through your negative space.

My only purpose

is found through your breath;

but what do I do

when you stop breathing?

I wait for your fingers,

less deliberate than mine,

but filled with that

that I lack.

I cannot see the blood

that sloshes through the veins

in your innocent hands.

The blood that energizes

those fingers

upon which I wait.

But I know

the blood is there.

It isn't

what you do.

It isn't

the way you move.

Simply put,

it is

the way

that you exist.

The sheer fact

that you have a bursting burgundy waterfall


not only through your fingers,

but engulfing all of you

in its rich,



The only waterfall

that I encompass

is the waterfall

that you imagine.

I have no blood;

I have no way to exist.

And so I

wait for your fingers,

less deliberate than mine,

but filled with that

that I lack.

I wait for your fingers

to filter the heat

to a state of regulation,

a state of production,

a state in which I can exist.

The peach fuzz

that sleeps on the bridge of your nose

begins to rise

when your fingers initiate the flame.

The temperature reacts,

as would my heartbeat,

if I had a bursting burgundy waterfall,

or some type of life source

inhabiting my chest cavity.

As the heat

starts to melt

my metaphorical skin,

I become reality.

I don't have a face to smile,

or eyes to produce tears.

But I have thoughts.

I have words to say,

I have feelings to express.

I still can only drift,

in and out,

twirling through your negative space,

but now spiraling

into your positive space,

as well.


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