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What are Fractals, Why Important?
Brain Cell Fractals
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.
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.
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