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Thread: The Mandelbrot Set: Fractals to Infinity

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    Avalon Retired Member
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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Quote Posted by Ilie Pandia (here)
    Here is a wild theory: everything is a fractal. (The same fractal). Objects appear different because we are looking at different parts of the same fractal, at different zoom levels, with different color cycles.

    But if we zoom out enough, or go deep enough, we will find the entire Universe in a drop of water. And you can do this zooming in or out ad infinitium. You will not find a limit.

    The end
    "My God! It's full of stars!"

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    One of my original favorites was Escher,





    and the Buddhist tapestry




    http://www.magnoliaeditions.com/Cont...04/F00012.html
    Why not now?

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Thank you, Cidersomerset, for the beautiful thread.

    When I was pregnant and my water broke, my doctor did a fern test and let me see it under the microscope. I do not know for a fact that amniotic fluid ferns are fractal, but they do appear to the eye to be. It was one of the most sacred and beautiful things I've ever seen.

    Below is an image from Google which doesn't do it justice. Sorry I can't figure out how to upload this.
    http://es.wikipedia.org/wiki/Archivo..._Fern_Test.jpg

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Hi Stan ....John Cleese...Weston super Mare boy.....I thought you may have pulled me up on Graeme Hancock he was born in Edinburgh but since we have got a fair few

    'Jocks' down here already, I'm still claiming him....LOL ..Steve..

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Thanks nomadguy those tapestries are intricate work and the Tibetans have a lot of hidden knowledge, I think Arthur made reference in the film that older cultures may have already known about fractel art...Steve
    Last edited by Cidersomerset; 21st November 2011 at 16:11.

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Thanks Laurel nice avatar, the fern pattern looks so natural probably because they are...LOL...Steve
    Last edited by Cidersomerset; 21st November 2011 at 15:56.

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    Avalon Member Decibellistics's Avatar
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    Default Re: The Mandelbrot Set: Fractals to Infinity

    For me, this statement is a fact. The universe is fractal by nature......The universe is a subatomic vibrating unified fractal structure at the "smallest" level and as we move out from this space it becomes condensed into matter.....i.e. a wall, a body, a table, etc. In other words this is the data that makes up what we see everyday. I argue human psychology is also fractal by nature.

    For some short tech talk.........A Pulse Code Modulation System is basically a feedback equation where the data feeding back into the original system flow is what determines where a bit rate will be set. In other words......in this system it is guessing where to place things based on prior recorded data. This is basically an A/D converter....or analog to digital converter.......my question is if the universe is fractal by nature and then therefore by definition a feedback equation.....does it act on the same principal of estimation based on prior recorded data. I do not know.....just some geekery to ponder I suppose.

    In theory it might be.....considering if Sunlight was constant, then a tree by nature would grow to be a perfect fractal, but since Sunlight is variable trees are still fractals but they don't grow in a perfect symmetrical form......so I suppose in the day and night cycles of the trees.......they process the prior information from the day before, receive new information the next day, and so on so on....which causes the tree to set its growth rates and cycles based off of the information it received prior in the day.

    I dunno. Fun stuff
    Today a man on acid realized that all of matter is merely energy condensed into a slow moving vibration, that we are all one, and there is no such thing as death. Life is but a dream.
    Here's Tom with the weather.....
    -Bill Hicks

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Quote Posted by Decibellistics (here)
    .A Pulse Code Modulation
    Hmm I searched that for a moment,
    That led me here, "Space vector modulation" I added "nano" and switched to scholar mode on google and found this, "Scalar and vector modulation instabilities induced by vacuum fluctuations in fibers"

    http://pra.aps.org/abstract/PRA/v71/i2/e023808

    At a guess I would say this tech is in the realm of someone making a silicon robot.


    back to topic ?


    I just noticed a relation to a thread I made a little while back. "The Shape of Sound".

    Here is a reference from within the post,

    "The universe consists of a series of spiral bodies of diminishing size, each made in turn by plasma ejection and moulded by a spatial Coriolis effect: a rotating fractal universe."
    http://www.fractaluniverse.org/v2/?page_id=2


    https://projectavalon.net/forum4/show...186#post355186

    Carry on ~
    Last edited by nomadguy; 21st November 2011 at 17:23.
    Why not now?

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    This has to be my all time favourite thread. Thank you so much! Amazing stuff!

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Thanks Take...That is great to hear there is something about the beauty and infinity of the patterns created in nature and the universe that seems to be drawing in a lot of people instinctively....



    Fractals are everwhere ....Steve

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Time for bed again, have to be up early for work..... I'll leave you with Dr.Mandlebrot...himselfe..

    Fractels and the art of roughness....


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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Thanks Steve. The avatar came from an artist's website. He and his father create the most beautiful fractals. It's been a couple years, but I'll try to find that website for you.

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Why not now?

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Thanks Nomadguy those are great shapes.....
    Last edited by Cidersomerset; 26th November 2011 at 11:58.

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Does the Mandelbrot set describe the shape of the universe, including the structure of Black Holes???

    Are we living in a baby universe that looks like a black hole to outsiders?

    Baby universes led to black holes and dark matter, proposes a new study.


    from: https://bigthink.com/surprising-scie...1#rebelltitem1
    • Researchers recently used a huge telescope in Hawaii to study primordial black holes.

    • These black holes might have formed in the early days from baby universes and may be responsible for dark matter.

    • The study also raises the possibility that our own universe may look like a black hole to outside observers.


    A new paper takes a deep dive into primordial black holes that were formed as a part of the early universe when there were still no stars or galaxies. Such black holes could account for strange cosmic possibilities, including baby universes and major features of the current state of the cosmos like dark matter.

    To study the exotic primordial black holes (PBHs), physicists employed the Hyper Suprime-Cam (HSC) of the huge 8.2m Subaru Telescope operating near the 4,200 meter summit of Mt. Mauna Kea in Hawaii. This enormous digital camera can produce images of the entire Andromeda galaxy every few minutes, helping scientists observe one hundred million stars in one go.

    In their study, the scientists considered a number of scenarios, especially linked to the period of inflation. That is the time of quick expansion following the Big Bang, when the universe we know today came into existence with all its structures.

    The researchers calculated that in the process of inflation, the climate was ripe for creating primordial black holes of various masses. And some of them reflect the characteristics predicted for dark matter.

    Another way PBHs could have been created during inflation is from "baby universes" – small universes that branched off from the main one.

    Article continues, with illustration at: https://bigthink.com/surprising-scie...1#rebelltitem1

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Three hours of swimming through mandelbrots. Who need hallucinogenics, when you have mathematics?

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    • Where Newton meets Mandelbrot (or more fancifully, “holomorphic dynamics”):
    No need to follow anyone, only consider broadening (y)our horizon of possibilities ...

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    Default Re: The Mandelbrot Set: Fractals to Infinity

    Benoit Mandelbrot seemed like a very interesting person.. Maybe it was the way the story was presented by A.C.Clarke such is his power to tell a story (first post).. or the story itself is just that interesting. By story I mean where development in computer processing power let us peek behind the curtain and develop a visual representation of a fractal universe.

    I love that 3blue1brown channel even if I understand just a fraction of what he talks about. For another perspective and something which you may try yourself, though I haven't yet, is make sounds out of the Mandelbrot Set or Juila set etc....

    To the mind that is still, the whole universe surrenders. -Lao Tzu

    I must not fear. Fear is the mind-killer.

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