Naturally Occuring Fractals

February 12, 2011 at 8:28 am | Posted in nature, pattern, research | Leave a comment

Naturally Occurring Fractals
(including plants, rivers, galaxies, clouds, weather, population patterns, stocks, video feedback, crystal growth, etc.)

fractals in natureThe geometry of Fractals brings us a new appreciation for the natural world
and the patterns we observe in it.
Many things previously called chaos are now known to follow subtle subtle fractal laws of behavior. So many things turned out to be fractal that the word “chaos” itself (in operational science) had redefined, or actually for the FIRST time Formally Defined as following inherently unpredictable yet generally deterministic rules based on nonlinear iterative equations. Fractals are unpredictable in specific details yet deterministic when viewed as a total pattern – in many ways this reflects what we observe in the small details & total pattern of life in all it’s physical and mental varieties, too ….
fractal fren iteration

FRACTAL FERN: One very simple way to understand fractals and the meaning of “ ITERATION is to examine a simple recursive operation that produces a fractal fern thru a “chaos game’ of generating random numbers and then placing them on a grid.


WOW!!!! we NEEEED to try this as part of our ITERATIVE experience tomorrow at Kirby’s!!!

After a few dozen repetitions or ITERATIONS the shape we would recognize as a Perfect Fern appears from the abstract world of math. How and Why can this be?

The answer to why is that it Simply IS – and it’s quite surprising too!
Answering How is that nature always follows the simplest & most efficient path. Fractals are maps of the simplest paths sliding up the scale of Dimensions (from 2-D to 3-D and so on). So maybe it’s simply an artifact of nature’s elegance that we find exact correspondences between these inherently existing mathematical forms and natural patterns, and even living creatures of many types.

Fractals in nature are ubiquitous – clouds, plants, galaxies, shells and more.

LATE NIGHT THOUGHTS FROM LIZ : SYMMETRY IS A BIOLOGICAL MECHANISM TO COMMUNICATE INFORMATION, THE CODE OF NATURE AND THE UNIVERSE.

THERE ARE CERTAIN SPECIAL RECOGNIZABLE, REPEATED FORMATIONS AND PATTERNS IN NATURE.  BY ANALYZING THE STRUCTURE AND SHAPE OF UNIQUE PHENOMENA WE WILL FURTHER UNDERSTAND THE INFINITE POSSIBLE WAYS TO BRING DIFFERENT ELEMENTS TOGETHER. (like what makes a purple praying mantis, the conditions for this to occur…I want to make sure we keep a world, retain our biological structure so that we can even have purple praying mantises exist!  you know …this is why we need variety in medicine and strains of FOOD! )

HOW WE CHOOSE TO ORGANIZE OURSELVES AND THE HUMAN ORGANISM, EACH DECISION – CHANGES THE OVERALL SHAPE OF THINGS AND WE ARE IN CONTROL OF THAT.  (existential freedom 🙂   /  current state of the world 😦

natural cloud swirl fractals!


cd microwave fractals!

ExQuiSite CaBBAGe

… looks like a lovely couture dress

Wood Stalk Plant Cross-Section – Circular Fractals!

Elegant right?  Looks like super Rococo ornamentation

your not going to believe what generates these fractals…. bacteria colonies!!!

Text and Images from: http://www.miqel.com/fractals_math_patterns/visual-math-natural-fractals.html

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