The Mandelbrot Set: Fractals to Infinity

[Cidersomerset]

This is a programme describing the beauty of a mathematical phenomonem.Discovered in 1980 by a French mathamatician Dr.Mandelbrot who gave it his name.
The sheer colour fractels that replicate themselves to 'infinity and beyond' to quote 'Buzz Lightyear'

I do not like mathamatic equations etc, they send me to sleep.LOL...

But don't be put off there is little maths in it, watch it for its beauty and endless possibilities ...

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If you want to watch the full film just carry on at the end of pt 2.....
It looks like the childs Kaleidoscope toy where you look down a tube and twist it to form
pretty patterns..The Scientists are obviously excited about its meanings...

Maybe the universe is on one big psychedelic Trip..

Cheers Steve..

[Cidersomerset]

Well maybe the LSD experiments of the 60's /70's were accidently tapping into the matrix of the universe ??...



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[Cidersomerset]

There is something primeval about this and simultaneously awe inspiring...

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[gaiagirl]

Steve, I have to thank you from the bottom of my heart :hug: as your post here brought me back to a time in the early 90's where my spiritual journey REALLY took off . . . I was a RA for this brilliant and eccentric professor of both mathematics and psychology . . . it was a time when the home pc was just making it's way and we communicated via DOS on the University Intranet . . . I spent many hours in this little room testing subjects and evaluating results . . . the room happened to house much of this professor's library and it was here that I discovered James Gleick's book: "Chaos - Making the New Science" and the Madlebrot set in all it's paradoxical simplicity and intricateness . . . I was simultaneously on my third year of a seven year journey into practicing Veganism as well as my second year of practicing Yoga and Meditation on a daily basis . . . seeing the Mandlebrot Set for the first time brought tears to my eyes for all it's beauty and to this day it still illicits the sense that it is a true mathmatical representation of the fingerprint of God each time I see it. It provides a remarkable visualization of the interconnectedness of variables and how they play out in reference to each other over this illusion we experience as time. Thank you again for this wonderful post and for bringing me back to where my true journey began . . . again, Avalon reminds me that I am right where I am supposed to be!

[nomadguy]

Another whom I feel has taken this study a bit further is Dan Winter with the idea of infinite expansion and/or implosive fractal geometry.
Nassim Harramein is another whom has assisted the research in this realm(this being a few names from a vast chorus of thinkers).
Then there is another named Arthur Young whom has in the recent past discussed the geometry of the toroid.
So what I am getting at is that the mandelbrot set is LIKE a picture of the real pattern of life.
And that this research is leading to the discovery of a picture of the real thing.

I may be preaching to the choir here, however I also think that the Golden Mean is intrinsically involved, and that brings up the idea that ancient people's might had already conceived this knowledge,
cubit, lost cubit and the "water key"
http://www.templestudy.com/wp-content/uploads/2008/06/djedankhwas.jpg

And lastly perhaps this knowledge invariably led to their ability to do amazing things.
http://www.rockhoundstation1.com/tiahuanaco-front.gif
http://www.world-mysteries.com/kuk_zenith.gif
I like one point I heard in Graham Hancock's presentation of "Quest For The Lost Civilization", where Chichen Itza is full of water at the base of the pyramids.

here are some refs
http://www.youtube.com/watch?v=-yz1DfTF3-E&feature=related

http://www.youtube.com/watch?v=BYEG60e7S54

http://www.youtube.com/watch?v=qGYkJgOS2e0
http://www.youtube.com/watch?v=THSJ1j2KCN0
http://www.youtube.com/watch?v=0Y5bXdx5UrE

:yo:

[Cidersomerset]

Thanks Gaiagirl I saw this documentry when it first came out and was stunned by its simplicity and complexity all in one .....If there is a lifeforce to the universe I think
this may be a link to 'our maker' . As I said maths is not a subject that interested me . Arithmetic and the like fine....but when angles fractions of fractions
come into play its time to run for cover..LOL.....But this is instinctively different, a link possibly to the begining !....Steve


I like the thought of being taught by a eccentric proff....

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[KosmicKat]

Thanks Gaiagirl I saw this documentry when it first came out and was stunned by its simplicity and complexity all in one .....If there is a lifeforce to the universe I think
this may be a link to 'our maker' . As I said maths is not a subject that interested me . Arithmetic and the like fine....but when angles fractions of fractions
come into play its time to run for cover.....But this is instinctively different a link possibly to the beggining....Steve

If, like me, you are a math flunk (I don't even know the multiplication tables) you may be in the position of being able to just glimpse some of the extraordinary truths that mathematics can reveal. The equations are just a way to describe what we see in the patterns of, for example:

the face of a sunflower
a beehive
cymatic patterns
the movements of stars, planets, atoms and electrons
the geometry of the so-called Platonic solids
crystals
trees

[Cidersomerset]

Thats what Arthur was saying basically everything is made up of fractals I think ??

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[Cidersomerset]

Thanks nomadguy loads of info cheers I like the simple explanation by Arthur Young of a possible explanation of the universe who knows?

BYEG60e7S54

The Graeme Hancock one I can't find , i love watching his presentations, another Somerset resident...

is this it...

http://www.disclose.tv/action/viewvideo/2388/Quest_For_The_Lost_Civilisation_Part_1_6/

[marielle]

I use XaoS to browse the Mandlebrot Set:

http://sourceforge.net/projects/xaos/files/

It's Opensource and free and you can generate some beautiful images.

[Bollinger]

This is truly fascinating and provides a real glimpse into one of the wonders of the Universe. For me, at any rate, the most thought provoking aspect of it is the self-perpetuation. It is screaming out to us that the Universe is self-igniting, self-inducing, self-propagating, self-renewing, self-contained, self-replicating and self-sufficient.

And yet here we are on little old planet Earth, living, thinking and going in exactly the opposite direction. We seem to be running out of energy, of space, of food, of time. Our life is terminal and our means limited. Instead of expansion, the passage of time brings limitation and regression. It's all topsy turvy from start to finish. Sometimes I'm surprised at our stamina for surviving as long as we do given the glaring flaws in our way of life.

[Cidersomerset]

Thanks Bollinger I know what you mean, looking at the infinity of these beautifull patterns must surely mean that conciousness is everywhere !!!

And we are on the verge of a great reconnection, I feel it but cannot put it in the words it deserves.....Steve

http://metempyrion.org/img/crop_circles/crop_circle_mandelbrot_1991_400x311.png

http://ourinformedreality.com/title.jpg

[Cidersomerset]

The Mandelbrot Universe something is just telling me this is the building block of the universe ....


http://fc01.deviantart.net/fs71/f/2010/120/3/c/Mandelbrot_Universe_by_arneoog.png


If you click on the link you can expand the universe to see it more clearly...

All though it has been computor generated it feels real..



http://arneoog.deviantart.com/art/Mandelbrot-Universe-162485875?q=favby%3Akram1032%2F1160767&qo=3

[Bollinger]

Perhaps a major leap in our metaphysical evolution is just around the corner. What is irrefutable is that the knowlege we have gathered in just the last century far outweigh everything we discovered before then. There is certainly an acceleration in both our thinking as well as our technologies (or at the very least it certainly seems that way). Nothing can keep expanding without reaching a tipping point after which either we start again or cross over into a new mode of existence whilst still in the physical plane.

The only problem is that this tipping point may be tomorrow or a thousand years from now. It is virtually impossible to tell with any kind of certainty.

[Cidersomerset]

Something that ties in for me is the information, Ion has been telling us from non=physical via James Martinez radio show, this is a paste from a post i put up in july..

Re: A Different take on Reincarnation........

Thanks Jacqui D .....Apparently eons ago as there is no time , some of us, as not all 'gods' descended, decided to experiance contrast and split physical from non-physical.The goal being to experiance mortality then 're-assend'. We left ourselves clues in the bible and many other places on how to do this.....The 'Guf' was created by us to store our non-physical while we were down here and other worlds trying to find the 'meaning of life' and experiance mortality so to speak....The time is near for this to happen as the 'Guf' is emptying , and we will re-unite with our eternal selves...
Physical= imortal....Non=physical = eternal. Thus when we have accended we will be back in our 'godship' as physical all powerfull Human creator living in 'bliss' .
Something is going to happen very soon involving the DNA being able to be perfectley replicate itselfe thru our RNA so the 'meatsack body,, can permantley 'Zerox copy' every cell in our body thus effectively making us immortal.....This also has something to do with Cromosome14, the only chromozne with hooks that can activate the 144 double helix's needed.The atmosphere is also going to change with higher radiation levels H197....
Also when we 'accend' the 'Guf' will close as no one will die and the 'womb' will close as there
will be no rebirths, and that is to do with why there is so many people on the planet today because as we pass to the 'Guf ' we the 'gods' are coming straight back to physical....

Ion recently on the Eben Ray 30/6/2011 show explaining H197 radiation...

Also a RT report on the Cahoun power plant..

http://informationfarm.blogspot.com/...radiation.html

Hi all a couple of notes from the below show....The Book of Revelations is the first book of the Bible not the last......Bobs Revelation series is about perfecting your perfect cell. The perfect cell already exists , its just trying to tune it into your body . The first way we do this is to access the cell with 144,000 strands or double helix's . (Apparently now we have only one strand ), but we are moving towards having 144,000 strands in your basic cell. This will be activated by chromosome 14, it is the only chromosome that has the rings & arms to allow the replication ,of the RNA in the cell, to produce a perfect copy..This will enable perpetule perfect cell replacement of our physical bodies effectively immortality ..Chromosome 14 is the only one to have rings and arms to allow this replication to take place ...
http://www.fivebodied.com/archives/audio/bob/Radio_Alchymy/2011/Project_Next_-_June_30,_2011_-_Bob_Dobbs_&_iON_-_Hour_1.mp3

http://www.fivebodied.com/archives/audio/bob/Radio_Alchymy/2011/Project_Next_-_June_30,_2011_-_Bob_Dobbs_&_iON_-_Hour_2.mp3

Now all this sounds great but whether its true or just BS I don't know....Its just another piece of the puzzle, that somehow fits in with a lot of other weird and wonderfull events going on
at this wondrous time ......Steve

[Ilie Pandia]

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 :)

[Cidersomerset]

More appropriate music...

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[Cidersomerset]

Thanks Ile I will go to bed now with that thought to ponder !! I'll probably dream about of a teaspoon full of fractals...LOL..Cheers Steve.

[aranuk]

Thanks nomadguy loads of info cheers I like the simple explanation by Arthur Young of a possible explanation of the universe who knows?

BYEG60e7S54

The Graeme Hancock one I can't find , i love watching his presentations, another Somerset resident...

is this it...

http://www.disclose.tv/action/viewvideo/2388/Quest_For_The_Lost_Civilisation_Part_1_6/

So Steve we now have Arthur C Clark, Graeme Hancock. you and who else?:peep:

Stan

[nomadguy]

The Graeme Hancock one I can't find , i love watching his presentations, another Somerset resident...

is this it...

http://www.disclose.tv/action/viewvideo/2388/Quest_For_The_Lost_Civilisation_Part_1_6/
Yep thats the one!

[KosmicKat]

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!"

[nomadguy]

One of my original favorites was Escher,

http://euler.slu.edu/escher/upload/thumb/1/1f/Division.jpg/591px-Division.jpg
http://euler.slu.edu/escher/index.php/File:Smaller-and-smaller.jpg
http://euler.slu.edu/escher/index.php/File:Square-limit.jpg

and the Buddhist tapestry
http://www.magnoliaeditions.com/Content/Pub2004/F00012.JPG
http://arthistory.uoregon.edu/sites/arthistory.uoregon.edu/files/images/courses/arh387.jpg


http://www.magnoliaeditions.com/Content/Pub2004/F00012.html

[Laurel]

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:Positive_Fern_Test.jpg

[Cidersomerset]

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..

[Cidersomerset]

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

[Cidersomerset]

Thanks Laurel nice avatar, the fern pattern looks so natural probably because they are...LOL...Steve

[Decibellistics]

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

[nomadguy]

.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.
:laser:

back to topic ? :nerd:


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
http://www.feandft.com/X_Ray_Shell_Vortices.jpg
http://uvs-model.com/pictures/energyvortex.gif
http://projectavalon.net/forum4/showthread.php?30644-The-Shape-of-Sound&p=355186#post355186

Carry on ~

[take]

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

[Cidersomerset]

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....

RE2Lu65XxTU

Fractals are everwhere ....Steve

[Cidersomerset]

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....

ay8OMOsf6AQ

[Laurel]

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.

[nomadguy]

http://www.feandft.com/Escher_Implosion_spiral_toroid.jpg
http://www.light-weaver.com/vortex/images/torus1.gif
http://portal.groupkos.com/images/thumb/7/72/Torus_knot_harmonics_800x600.jpg/500px-Torus_knot_harmonics_800x600.jpg
http://www.physics.ucla.edu/icnsp/Html/spong/w7x_with_coils.JPG

- http://www.feandft.com/index2.htm

[Cidersomerset]

Thanks Nomadguy those are great shapes.....

[Kryztian]

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-science/baby-universes-black-holes-dark-matter?rebelltitem=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-science/baby-universes-black-holes-dark-matter?rebelltitem=1#rebelltitem1

[Kryztian]

Three hours of swimming through mandelbrots. Who need hallucinogenics, when you have mathematics? :bigsmile:
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[ExomatrixTV]

Where Newton meets Mandelbrot (or more fancifully, “holomorphic dynamics”):

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[Ankle Biter]

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....

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