Fractals In Nature

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Fractals - A Wonder of Nature

Nature, so fascinating and inspiring.

Nature not only fills our eyes and minds with beauty and wonder, it also has the gift to grant the seemingly impossible to us. Nature has an almost defiant way of appearing to "break the rules" when it so chooses. For example the tornado that touches the earth in one spot, lifts up and travels to another spot to descend again leaving it's devastating and destructive impression on man.

Nature cleverly breaks "the rules" and imparts a mystery by illustrating fractals in countless displays of wonder. I hope you enjoy the fractals in nature here and take away something new in your appreciation of creation.

photo credit: Allposters

What Is A Fractal?

Fractals are a fairly new mathematical concept introduced by French-American mathematician, Benoît Mandelbrot in 1975.

While fractals have mathematic roots, clearly they have been occurring naturally in nature since the beginning of creation.

Fractals are considered to be a geometric figure but a hybrid, if you will, from the run of the mill geometric rectangle or square.



Details of a Sectioned Chambered Nautilus Shell (Nautilus), South Pacific Ocean


Details of a Sectioned Chambered Nautilus Shell (Nautilus), South Pacific Ocean

Fern Leaf

Don't Speculate The Why, Just Enjoy Fractals In Nature

The word "fractal" literally translates from the latin verb "frangere" meaning to break or fragment .



Delicate Leaf Vein Patterns on King Fern Fronds


Delicate Leaf Vein Patterns on King Fern Fronds


A Close View of a Fiddlehead Fern Frond


A Close View of a Fiddlehead Fern Frond

Fern Photos

fern by cluczkow
frond by renee_mcgurk
fern by Muffet
Array by aussiegall
fern leaf by snautsego
ferns by Muffet
New Fern 2 by ahisgett
Another unfurling by Ctd 2005
Compound leaves by Ryan Wick
 by
fractal fern by i eated a cookie
fern fronds from below by Muffet
curated content from Flickr

India Arie - God Is Real

All Of This Is Not By Chance

India Arie God is real video
by Joeyarhino1 | video info

82 ratings | 6,712 views
curated content from YouTube

"God writes the gospel not in the Bible alone, but on trees and flowers and clouds and stars."

~Author unknown, commonly attributed to Martin Luther

Snowflakes Are Fractals In Nature

A snowflake is a never repeating fractal in nature. A unique display of wonder each and every time it descends to Earth.



Snowflake



Snowflake

Kenneth ...

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Snowflake


Snowflake

Snowflakes

Snowflake by Gui Seiz
Snowflake by AMagill
Snowflakes by Juliancolton2
snowflake by Muffet
Snowflake-030 by yellowcloud
Snowflake-027 by yellowcloud
Snowflake 1 by ~Brenda-Starr~
Snowflake-011 by yellowcloud
Snowflake-015 by yellowcloud
A Single Snowflake by audreyjm529
Snowflake! by meddygarnet
Snowflake-002 by yellowcloud
curated content from Flickr

A Close Up Photo Of Frost

Fractals Are All About The Pattern

A fractal often consists of a pattern that appears more complex as it enlarges. The patterns produced are elaborate and intricate yet at the same time simplistic.



Queen-Anne's Lace viewed from below, Michigan, USA


Queen-Anne's Lace viewed from below, Michigan, USA



"The laws of nature are but the mathematical thoughts of God."

~Euclid

Fractals In Nature:

Break The Rules Of Math's Unrelenting Preciseness

While mathematical fractals are extremely precise so much so some would agree, boring in their predictability.

Fractals in nature are unpredictable in their distinguishing details while following a recurring path or pattern.





Peacock Spreading Colorful Feathers



Peacock Spreading...

Bill Bachmann

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Peacock Feathers



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Peacock Feathers Pattern, Washington, USA


Peacock Feathers Pattern, Washington, USA

The Pattern Book: Fractals, Art, and Nature

Amazon Price: $513.02 (as of 05/31/2012)Buy Now

Dig deep into fractals, nature and art with this presentation of fractals in nature.

Fractals In Nature Are Complexity Simplified



Close Up of Pineapple, Ananas Comosus, in Leaves


Close Up of Pineapple, Ananas Comosus, in Leaves

John Muir On Nature:



"In every walk with nature one receives far more than he seeks."

I Think Of These As Fractals In Motion

Beautiful View of the Ocean from the Shore

Beautiful View of the Ocean from the Shore


Sunlight Reflecting in Clear Water Creates an Artistic Pattern



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"While the word of God was being read in these majestic hieroglyphics blazoned along the sky. The earnest, childish wonderment with which this glorious page of Nature's Bible was contemplated was delightful to see. All evinced eager desire to learn."
~John Muir

The Geometry Of Nature

CG Presentation, Nature by Numbers, geometrics in natural things
by HouseOfRam | video info

216 ratings | 22,463 views
curated content from YouTube

Fractals Bring Harmony To Nature

While math is math, always playing by the rules, never wavering or stepping out of the box, fractals in nature beat to their own free spirited drum and follow a natural pattern that ebbs and flows harmoniously with other species in nature.



Close-Up of Brown Sea Urchin (Paracentrotus Lividus)


Close-Up of Brown Sea Urchin (Paracentrotus Lividus)

"The human spirit needs places where nature has not been rearranged by the hand of man."

~Author Unknown

Flowers, Some Of Natures Most Beautiful Fractals

"We need to find God, and he cannot be found in noise and restlessness. God is the friend of silence. See how nature trees, flowers, grass grows in silence; see the stars, the moon and the sun, how they move in silence... We need silence to be able to touch souls."
~Mother Teresa



Dahlia Grace Nash, Close-up of Pink Flower


Dahlia Grace Nash, Close-up of Pink Flower


A Giant Lobelia Plant



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Mountain Daisy, Mt. Rainier National Park, Washington, USA



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Thinking in Patterns: Fractals and Related Phenomena in Nature

Amazon Price: $195.00 (as of 05/30/2012)Buy Now

An in depth look at both fractals in nature and the more complicated side of mathematical fractals.

If You Enjoyed Your Visit Here....

You Will Enjoy Reflections In Nature

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Links To Fractal Sites

Patterns of Visual Math - Fractals in Nature
> Visual Math Patterns
> Natural Fractals An Introduction to the fascinating patterns of Visual Math Platonic
WebEcoist
Fractals are a wonder - too irregular for geometry; seemingly infinite. They turn up in food, germs, plants, mountains and more. Here are 18 stunning fractals.
Fractal - Wikipedia, the free encyclopedia
The Mandelbrot set is a famous example of a fractalListen to this article (info/dl)This audio file was created from a revision of Fractal dated 2005-06-16, and does not reflect subsequent edits to the art
Fractals in Nature : FractalFoundation.org
The Fractal Foundation uses the beauty of fractals to inspire interest in Science, Math and Art.
11 Fascinating Fractals in Nature - Oddee.com (fractals, natural fractals)
From clouds and snow flakes, to crystals and blood vessels, approximate fractals are easily found in nature. Meet some of the most beautiful fractals we've found.
Nature fractals
Nature fractals
Welcome to my gallery of photographs of natural objects and phenomena that show
a fractal pattern.
Log surface of olive tree with crack.Three Christmas Balls. See them at bigger resolution (2.3 MB). In fact,
they are three lightbulbs.This is the easiest way to produce a fractal. Whe

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What Do You Think About Fractals In Nature?

  • skiesgreen May 11, 2012 @ 7:31 pm | delete
    An amazing look at nature. It proves beyond doubt that a great creative mind is behind all we see as chaos could never produce such beauty or precise displays. Featured on Blessed by Skiesgreen 2012-2 and also on Earthday and What is Wrong with Planet Earth. Hugs
  • Deadicated May 9, 2012 @ 11:43 pm | delete
    Such an awesome Lens, I had to share it on all my Social Media accounts; I love Fractals of all kinds, the show on PBS about them was really great. Kudos!
  • miaponzo Apr 21, 2012 @ 2:24 am | delete
    They are amazing! What an interesting, thought provoking lens! Blessed!
  • ItayasDesigns Apr 20, 2012 @ 8:37 pm | delete
    I love nature and all it's many pieces! Very beautiful article. Your images are all so well chosen. The images of the peacock remind me of my article about A Peacock Named Pedro that we had for awhile. :)
  • TransplantedSoul Mar 23, 2012 @ 11:27 am | delete
    You have some amazing pictures. Nature is so beautiful!
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Please enjoy the Fractals In Nature here, then go outside and find some for yourself today.

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