Arthur C Clarke - Fractals - The Colors Of Infinity
HTML-код
- Опубликовано: 24 дек 2010
- Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set) in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe itself. Dr. Mandelbrot in 1980 discovered the infinitely complex geometrical shape called the Mandelbrot Set using a very simple equation with computers and graphics.
Arthur C. Clarke's soft-spoken style sets the "common man" at ease, and his pinpoint commentary makes the concept of fractals easy to understand. One need not be a stellar mathematician to grasp the concepts and why they are profound. The experts are trotted out, and they, too, explain fractal geometry in ways that are accessible to everyman.
Fractals are part of our lives, and maths informs everything that exists, whether natural or man-made.
When I saw this on TV several years ago, it reminded me of the Douglas Adams (of "Hitchhiker's Guide" fame) book "Dirk Gently's Holistic Detective Agency." In the novel, a software engineer tries to create a program that sets the flapping of a bird's wings to music using mathematical equations. That is exactly what fractals seem to do; they describe events in nature in mathematical ways, and the section of "Colors" which discusses this is eye-opening.
All credits go to the owner(s) of the original video and to the website that it was downloaded from (Google). There is no financial gain from this upload, nor will there be at ANY stage in the future.
"Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment,news reporting, teaching, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favour of fair use."
Arthur C. Clarke ROCKS!
I wrote him a letter when I was about 9 or 10 years old, and he wrote back to me!! It was about 1964 or 65, and everyone in class had to write a letter to a famous author asking their favorite childhood books. I only remember that Pickwick Papers was on the list because it was the only one I had never heard of at the time.
5:19 "this is really infinity" ... and then Gilmour's guitar comes in. Priceless stuff.
I love this documentary. Fractal geometry might even explain the discrepancies between the interface between classical physics and quantum physics. Deeper down it's close to the same but observed behavior is different enough to be demonstrably different.
Sounds plausible to me.
As above so below. (But slightly different...)
The point about the plank length limiting complexity is interesting. Perhaps there is an ultimate resolution of the universe but it does not ring true for me. Every time we think we have bumped up against a limit we find a way to see deeper.
We change our terms of reference. More dimensions etc.
My gut feel is the Universe is fractal in nature.
This dovetails nicely with the thorny topic of religion.
There could be a single truth to be understood,
There could be One True Formula that explains it all.
The God formula.
We as humans might not be equipped to understand that formula but then again consider the perimeter of Great Britain.
If the edges are infinitely detailed then the perimeter is infinite. Ergo perhaps our brains are capable of modelling infinitely complex formulas and ideas.
Mind Blown.
Luv and Peace.
if you think this is trippy, wait til you start to make the connections between fractals & how it pertains to behavior. everything truly is fractal.
What do you mean? Sounds interesting.
Vincent Wendén I get what he is saying. If you observe human behavior, it can be very random at times. Especially in times where humans are faced with potentially deadly situations. Humans do seem to defy all logic and order when given the chance.
This terrifies me.
I think he just means that the way humans act and think is also in the form of fractals. All the routes that lead to Rome are a fractal pattern on a map - almost as if the collective consciousness mapped it out following nature’s “code”. Even the stock markets are fractals because of the collective human behaviour being causing it to be that way, which is why we have market crashes reoccurring on different scales (retirations within retirations)
I actually think I’m starting to get it (finally). I would assume that it is why some people in the past gained “higher levels of thinking”. Perhaps a collective groupthink led to religion. There are many similarities and coincidences with fractal thinking that manifest themselves in Buddhism.
these shapes are how light emotion sound and thought interract. They are the exact shapes that make up my vision whilst on 2CB. Literally cant describe how identical they are and the fact that they never end i believe this is something that holds many secrets for existence itself
Welcome to the world of understanding, it's infinite so be careful to what you do as you will repeat in the next life and pay ie karma is part of the infinity be easy on the drugs and treat them as a rare treat anyways trust me lsd shrooms 2ci 2cb 2cp ect are the same deal they open the wormhole and allow you to have a peek inside the same visuals can be reached through meditation as the bhuddist monks will vouch for, its calm time now but death will launch you into this world to reflect on your life you have lived before being reborn and its heaven and hell all in one go, so be nice :) peace and love my friend
Soundtrack by David Gilmour of Pink Floyd!
Aabb
Colours movie shows ladki sun night light
+MMID303 who else it could be ((:
+MMID303 But of course...................
Hi, if you check out this link:
yeeshkul.com/forum/showthread.php?40717-The-Colours-of-Infinity-by-Pink-Floyd&highlight=Nigel+Lesmoir-Gordon
it describes that someone wrote to the director of the documentary, who confirmed that it was Pink Floyd who wrote the music, but put Gilmour's name on there for copyright reasons. . In fact the synth theme can be found on the Endless River track, "Calling".
i was wondering, cause i felt a lot of pink floyd vibes in it. arthur c. clarke couldn't have picked better musicians to make the music. pink floyd is all about the wonders of nature and the cosmos. it's amazing.
I got inspired into mathematics because of this video.
lomertamahon1 Check out chaos theory. The double pendulum made my mind explode.
I cant even begin to really comprehend this. We created an infinite object in a seemingly finite world. Just that fact, blows me away. How is infinity even possible. what the hell. There is something going on just beyond the veils of our perceptions.
Math. That shape is just a mathematical equation. I personally don't know it, but you could probably find it online somewhere.
hulaan ko.... kaya ka nandito dahil sa mathematics in the modern world 😂
HAHAHAHAHAHAHHA
Kakainis haha
lol I like the music they play when they show the fractals like we are all high on math or something.
David Gilmour
Or some kind of HT2A Receptor agonist
@@XDFreakLP lsd? :P
Lol...high on math....Bro I got improper fractions that'll blow your mind..way better than those derivatives from last batch
I used this film in my regular and AP high school geometry and Algebra 2 classes as we looked at geometric patterns and imaginary numbers and iterations. Excellent explanation of both theoretical and applicable math!
Thank you so much for sharing this stunning documentary! Arthur C. Clarke, Pink Floyd and Mandelbrot - that's a magnificent combination.
I keep being brought back to this documentary, time and time again - after seeing it a long time ago. You just gotta love 'em fractals man.
There's something ironic about the fact that a documentary discussing (among other things) fractal compression would be victim of a very poor compression algorithm.
This film is awesome, I just loved the statement "imprint of God". It would make sense. Thank you so much for the insight.
How can anybody "dislike" this? Have they no sense of wonder? This aspect of mathematics is mind-blowing.
This is the closest thing I have seen to my highest of high psychedelic drug experiences when I was younger. I honestly felt like I was part of the universe watching it do just this type of thing. If you could see the universe expanding on the large scale I imagine it would be like this.
Yea, I'm pretty sure the universe is some kind of fractal setup, but we're normally on too low a state of consciousness to actually perceive it's fractal nature so we tend to perceive things in the cruder, euclidean-style geometry in everyday life, but psychedelic drugs raise your state of consciousness allowing you to perceive what's really there much more accurately than you can while sober.
Jesse Austin I've come to believe that the basic structure of the universe is fractal, I think the one thing that all of the universes of the Multiverse have in common are fractals.
the universe is indeed infinite, however it is somewhat probable that it is infinitely small rather than infinitely large... of course no one can know but the though is just so enthralling :)
rowan box
Yea your right. I suppose when you are talking about infinity, size is not relevant any more! I know what you mean about how enthralling it is to try to imagine. This is why I'm kinda "against" religion. It is such a limited dumb down explination of what we see in front of us. I would even argue you have wasted part of your life if you have never had the oppertunity to think about what we are talking about here.
The M-set the largest set in mathematics! Nice documentary. Thank you.
Fun to look back at this. To see a master visionary explain the potential of fractal geometry at its very beginning
Here for our math subject
Finally some real science from real scientists, thank you!
Thanks for sharing this incredible show / video . The Black Buddha - shaped object is the only constant in all colors , patterns , shapes and forms of Infinity, so this is a curious fact of the Mandelbrot Set This Black Buddha object is also the defining commencement and consistent pattern of Infinity or of the M Set. A fact of unique and great substantiation for most people on our Natural Planet .
Watched this years ago with my Dad. Never thought I would find it again.
If nature, or the Universe if it were, was to look back on humanity's achievements as a whole, fractals and the revelations that they represent in nature, would probably rank as the highlight to what we have or what any life form within the Universe could possibly understand, formulate, and use; it is without a doubt in my mind, the basis for which we can understand nature's bizarre structures and dizzying scales of both macro and micro worlds.
What I see within the idea of the Mandelbrot Set is how there is a repitition and difinative change between each zoom, then suddenly, some shapes reappear. It is frightening and amazing that we could be looking at math that does what the Universe does!
40:58 - did this guy invent an “upscaler”, before the word became mainstream? He describes the idea like a pure compression algorithm but seeing these image comparisons blew me away, considering how long ago this was made
Absolutely fascinating...thank you for posting.
Pink Floyd Soundtrack:
1. 0:12
2. 4:50
3. 7:36
4. 14:30
5. 22:35
6. 25:09
7. 31:06
8. 38:22
9. 42:37
10. 44:00
11. 45:58
12: 50:03
+Tre Roland-Martin Very much appreciated
not Floyd...just Gilmour!
yeeshkul.com/forum/showthread.php?40717-The-Colours-of-Infinity-by-Pink-Floyd&highlight=Nigel+Lesmoir-Gordon
It's Floyd - they had to put Gilmour's name on for copyright. The synth theme is on Calling. Perhaps Gilmour wrote all the music, but it's definitely Floyd performing it.
rick and nick also.
Watching these now a days it amazes me how far we have come and what wonders we will know in 12 more years from now.
14:57 "When you get very very fine to very very small details, the variations can become of overwhelming complexity. So complex, that no single picture can possibly give justice to them...If the whole set were represented at this scale, the end of the whole set would go as so far to somewhere near the star Sirius."
Fantastic! What an artist that creator! Thank you!❤
This is fantastic - thank you for posting this. This is what RUclips is for, in my opinion. Lucy.
I'm super digging the faux-Dave Gilmour //Pink Floyd -esque musical breaks with the trippy fractals.
So its a mathematical explanation for nature's execution....humans are incredible if only we could work together. Yay Fractals! Boo Corporations!
RIP Mandelbrot and Clarke are experiencing the ultimate fractal journey with their consciousness
Beyond perplexed i must absorb understanding its filling my essense with a push to reach further and further to grasp things i never ever bothered to consider. I was simple minded with out education thanks to educational videos and people of remarkable intelligence sharing endless information. I believe i am falling in love hope God guides my heart to understanding and truths of knowledge. Thank you kindly
My new obsession, Thank you 🙏🏻
This is my new favourite thing
How wonderful, and how appropriate the Gilmour in it. : )
Just FYI, the director of the movie has confirmed that the music was actually played and recorded by Pink Floyd, not just Gilmour!
Thank you for posting this. Much appreciated. :)
i was on a trip all day yesterday haha i had my first fry a couple weeks ago and i saw fractals and sacred geometry in the water falling down my window from the light coming through it. i could even control them! it was amazing
Well Done Bravo!
most informative thing ive ever seen
This is what I was looking for yesterday.
But yesterday disappeared up your arse?
ARCHAIC SYMBOLISM FACE
An entire whole new paradigm for new viewers and myself
btw thanks for the awesome upload I've been looking for this
In properly celebrating Mandelbrot, let us not forget or overlook the early 20th work of French mathematicians Gaston Julia and Pierre Fatou and their contributions of complex dynamics.
I imagine that if I dived deep enough in a Mandlebrot set I would find myself looking back :)
Absolutely correct about psychedelic drugs - 25+ years ago I did LSD and Mushrooms still and remember sensing and seeing these 'patterns' or fractals. When I'd close my eyes, I could see these patterns and follow them. It was a sensation similar to free fall and too intense to keep up. Very similar to the patterns you see when you rub your eyes then close them, only much more detailed and colorful. Kind of scary actually - but beautiful too.
Anyone know where you can get this soundtrack?
hahaha ! Mathporn ! That is ultimately the best way to describe this amazing set and math collection ... BTW mathematics kick serious ass !!!
I had this on VHS for years; pity the reception wasn't perfect when I taped it. But I really want the last few minutes of this in 1080p...
Awesome film.
Thanks for sharing the video. I wish you'd included a disclaimer on that description, making it clear that that - especially the contentious line of '...way that seems to identify the hand of God in the design of the universe itself - is very much your interpretation, not necessarily that of Clarke or the panel of experts he interviews here.
Thanks fractals for making RUclips possible
Cheers for the upload
Grumpbump anyone?
no I made it here by other means.
grumpbump!!
If new to this video you should note that the prevalence of mobile phones and the fact that they have relatively good reception now without large antennas is because the antennas are now fractal.
Also if you wanna create fractal images yourself then check out either Ultra Fractal or Xenodream or ChaosPro or Chaoscope or Fragmentarium or Mandelbulber or Mandelbulb3D.
Awesome iteration
Mathematics of the modern world brought me here❤️
Excellent Thank you .
YAY almost one hour of colors!!!!!!!
Excellent!!!
Outstanding
Excellent film.
This infinity looks psychedelic. The chance and pre determinism exist at the same time. Interesting insight into God's creation and free will.
Thank You Nives Kovacevic !
I love watching this stuff while high!
Thanks for this! Peace.
It amazes me the number of dislikes for this program, how fractal,m lol; a wonderful enlightening journey, thank you.
We just dont like why our teacher require us to watch this thing
@@flavaa9494 true hahahaya
(2) 😂
Very informative. Add &vhs=1 to the end of the URL to create a really cool effect!
My mind has been blown.
A lot of thanks !
Music by David Gilmour!
Whoa... mathematics is freakin' me out maaaaan! Totes trippy.
too bad ACC didn't know about this in time for the 2001 Space Odessey final sequence :)
this is SO trippy
Man now I wanna code this!
good vid
As a virtual construction your magnification factor is only related to the accuracy of your calculations and for a single zoom-in one can go far beyond the scale from planck length to size of known universe and beyond.
Thanks.
That is the visual of Conciousness.
The mandlebrot set is the closest you will get to understanding IWAB - IsWasAlwaysBeen.
Self-Realisation comes when you realise you are the shape in the middle and conciousness playing out around the shape you have Freed your mind and the fragment dissolves back into its Whole. Absorbed it all and the Mind is One with Conciousness.
The Poet and Mathematician Without Division. .
The mandlebrot set is the visual to the Upanishads. 😇😇😇💖💖💖 just remember only the Love will Last When energies return to the Vast.
I am interested in that topic, do you know any sources or books about the connection between fratals and hinduism (or is this just your interpretation)?
I've had the exact same nightmare from childhood that sounds EXACTLY like how that guy's dream inspired him 38:30
Only difference is in mine, the 'switchboard' would span OUT more and more, infinitely
And i'd wake while in my sleep that I just comprehended an infinite collection of objects within just like he said a matrix
It scared me cuz I couldn't move any muscle in my body, it was still asleep but my brain shocked itself back into consciousness. I was paralyzed for like a min every time
Interesting... I had the same kind of nightmare as in your comment (things zooming out, paralysis). However, these stopped once I reached a certain age. It wasn’t until I tried LSD/acid that this visual zoom began to happen again. Very strange but my personal belief is that LSD and other psychedelics are actually tools of viewing things on different scales - both micro and macro.
This helps more than school
a but thérapeutique,,c'est génial
90's nostalgia :)
Man I SO wish I could have been a teenager in the 80's
Somehow I get this awesome relaxed feeling of simplicity, coziness, nice people and good times.
Good economy, girls in cute bathing suites and Mai Thais.
I know it's irrelevant, but what isn't anymore.
Someone invent a time machine please
our universe is a fractal in a fractal universe
Dr. Suess's Horton Hears a Who (book) a great introduction for this subject
My dim math problem is to find the 4D Hexagon!! A 1/2 line segment perched above and below a unit lineseg is a Hexagon. Also six rays or 3 diagonals. Take the 3 internal diagonals and think of them as where 3 Hexagons are intersecting. Rotate these a bit more than 90 degrees and you get a Triangle Above and Below the Hexagon - A Cuboctahedron 4 internal Hexagon Diagonals, 12 rays. Consider the 4 internal Hexagons as 4 potential Cubeoctahedrons. Rotate these out into the 4D. Get 2 Tetrahedrons...
never knew this existed. wow
Alberto Martinez god is not religious
Pink Floyd The Endless River - Side 4, Pt 1: Calling
Awesome! Thanks for finding this Kieran! It's long been the topic of discussion on here and nobody else found it!
ruclips.net/video/zVDutYJrk4A/видео.html
I'd missed your comment..until now!
AWESOME soundtrack album, perfectly complements the mind-bending implications of fractal cosmology, ie deep innerspace reflections on the outward experience of beingness/consciousness...
If we zoom in within our world, we see what we define as cells and and micro-organisms. Are fractals another way of seeing/ have perspective of the same universe.
"plans and the astrology sort" What?? Fractals are either infinity or reaching the number 0. If you zoom in to a plant, or zoom our to a planet, the fractal will be the medium to see it all. That is the perspective of what the known universe is.
i love the sound track haha.
This is a piece of the puzzle to bring peace and harmony to our planet and put out those that try to rule us, the question is how?
Hi AEE 1C, Happy watching hahaha
professor hawking. RIP
While watching this video it came to my mind that isn't this fractal compression used on this video as well, at least when you use the hardware acceleration on flash player and i guess it's quite obvious when watching in full screen.
I saw this on PBS channel 13,/ New Jersey. last millennium
Shoutout ulit sa BSMT-1A hehe
All i could arive at is how unsearchable are his ways. as the heavens are higher than man so Gods thougths are higher man . Yet God is allowing us to slowly see some of his ways!
Clark's is one sharp mind.
Yes, we live in a fractal; but we are all, also, living fractals ourselves...
It looks like Buddha.
1980 can't be right for the discovery of the equation, but I don't think they knew what it looked like until they plotted it on a computer.