What are Fractals, Why Important?

Brain Cell Fractals

Brain Cell Fractal
Brain Cell Fractal
Universe Fractal
Universe Fractal
Broccoli Fractal
Broccoli Fractal

Fractals are Ubiquitous - Universal

What is a fractal?

A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the same "type" of structures must appear on all scales.

In layman's terms a fractal is a part of a system or a whole (singularity) which in itself possesses all the information necessary to create a singularity or a system of its own. The most obvious fractal example is Nature. You have a seed or a singularity which grows into a plant with a stem and the off-shoots. The leaves or branches divide into their own singularities; then you can say that we are fractals of our parents since we literally come out of them and contain their DNA.

Why do I need to Know?

Fractals help us look at Life and illustrates how it is complex. This can help us better understand how various aspects of health, illness, treatment and recovery relate to each other in intricate fashion. Fractals give us the science to explain such things as Heart Rate Variability biofeedback, individual responses to treatments.

How Come I Never Heard of fractals in School!

Benoit B. Mandelbrot coined the term "fractal" in the 1960s, he was a rebel. Today, he's revered for inventing a new geometry.

Think of fractal geometry as a way to measure the rough and tumble real world. Nature abounds with complex shapes, from trees to snowflakes to mountains. What Mandelbrot discovered is these geometric shapes look the same when you break them into their smaller components. Consider the cauliflower, whose smaller and smaller buds mirror the whole bunch.

How do We Know It is Universal?

A new study of nearly a million galaxies suggests it is – though there are no well-accepted theories to explain why that would be so. Nearly all physicists agree that on relatively small scales the distribution is fractal-like: hundreds of billions of stars group together to form galaxies, galaxies clump together to form clusters, and clusters amass into super clusters.

Are Fractals in Music?

One of the most important elements in fluent communication strategies, such as music, speech, or narrative storytelling, is the element of rhythm inherent in timing. This contributes a meta-anomonopea connecting disparate elements of idea, such as character, set or setting, conceptual constructs (all of which occur also in dreams), as well as the perpendicularity in music of theme and motif.

There is a motif recurring variable and the pattern of its recurrence constitutes a theme. This is also true the other way around. These are thought to be steps in logic along the same ladder as the combinations of notes to form chords, the combination of chords to form rhythms of harmonies called songs, and even the division of half and quarter notes, minors and sharps (which are the same thing).

The exponential expansion is a fractal that sounds rather flat, and that the phi spiral gnomon evokes emotion more than the pi spiral gnomon. Thus it may be found to underlie a great many of the musical themes that flow from the stream of consciousness through the instruments.

Bottom Line:

Earth life's genesis cannot have been cell(s). Cells and all objects and processes and natural laws in the universe, are - since singularity - products of evolution and are continuously further evolving. Everything in the cosmos is fractal, repeats on many scales, and is continuously evolving. Each and every system in the universe continuously evolves within the total universal evolution and all the systems' evolutions are intertwined.

Related Science Topics of Interest:






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Comments 18 comments

msorensson profile image

msorensson 6 years ago

Great educational hub, Dallas. I am wondering why you did not use symmetry and harmony when describing it, components of aesthetics. It is said that in this universe, one can be very successful with the use of aesthetics alone..Resopnse to aesthetic harmonics is a very heavy conditional response and this is the reason why we pay so much attention to physical beauty.

Thank you, I enjoyed it.

dallas93444 profile image

dallas93444 6 years ago from Bakersfield, CA Author

msorensson, As always, you are "aware." I attempted to use the KISS principle... Thanks for your comments!

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Beaks 6 years ago from USA

Very interesting! Not your usual hub.

dallas93444 profile image

dallas93444 6 years ago from Bakersfield, CA Author

Beaks, Thanks. I am not "usual!" Interesting is a useful, neutral word. You have great hubs! Your eclectic taste shows...

katiem2 profile image

katiem2 6 years ago from I'm outta here

Cool I learned a thing or two about the very interesting fact on fractuals and why important. :)

dallas93444 profile image

dallas93444 6 years ago from Bakersfield, CA Author

katiem2 - Thanks! Life is a process! It is how we are "put together..."

billyaustindillon profile image

billyaustindillon 6 years ago

I have read through Mandelbrot's discovery as applied to financial markets and it is fascinating - your images of the brain explain why. Everything is replicable - works very well with NAtures Law as espoused by WD Gann.

dallas93444 profile image

dallas93444 6 years ago from Bakersfield, CA Author

billyaustindillon, I agree. There is much more to this. The "Golden Ratio" has a universal application... Thanks for your input.

World-Traveler profile image

World-Traveler 6 years ago from USA

Fractals are indeed incredible. There are some math professors that specialize in research and teaching in no other subject than fractals. Fractals is an area of science and math that is just beginning to explode with new possibilites for basic research involving a wide variety of applications.

dallas93444 profile image

dallas93444 6 years ago from Bakersfield, CA Author

Thanks world-Traveler. It seems probable fractals and vibration are common denominators.. Both are infinite.

belliott profile image

belliott 6 years ago

Interesting reading. I have seen fractal images and like the way they look but have never heard an explanation.

dallas93444 profile image

dallas93444 6 years ago from Bakersfield, CA Author

belliott, Thanks for sharing! To communicate esoteric subjects is a skill I want to learn... Some of my hubs are almost in a "foreign" language... It takes "energy" to translate... Every occupation, or study has its own peccadilloes...

Angela Harris profile image

Angela Harris 6 years ago from Around the USA

Very interesting. I enjoy doing fractal art designs.

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dallas93444 6 years ago from Bakersfield, CA Author

Angela Harris, Fractals are uniform in terms micro to macro including biology. They are universal...

RunAbstract profile image

RunAbstract 6 years ago from USA

I have been interested in fractals since I first learned about them. I eventually found a very interesting fractal while playing with a Mobius strip.

This was a great article!

dallas93444 profile image

dallas93444 6 years ago from Bakersfield, CA Author

RunAbstract, Fractals are everywhere! Thanks for your response.

World-Traveler profile image

World-Traveler 6 years ago from USA

Very interesting. I taught an English class involving the human brain last week. One of the things I showed my student was the amount of energy the brain produces- enough to light a 25 Watt lightbulb. The source of that information was on Wikipedia.

dallas93444 profile image

dallas93444 6 years ago from Bakersfield, CA Author

World-Traveler, Have you read books by Lynne McTaggart, I highly recommend the series. She discusses intent and the quantum interconnectedness of everything. She too mentioned about the brain using 25 watts. The amazing thing is there is millions times more "energy" in the vacuum...

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