ฝัง
- เผยแพร่เมื่อ 28 ก.ย. 2024
- This video has been edited together from several documentaries to describe the Mandelbrot set in a simple, introduction/beginner fashion!
What is the Mandelbrot set? An incredible mathematical formula explaining fractals and geometry! Several mathematicians and scientists explain this phenomenon in clear detail.
Please enjoy!
NOTE: This video is for educational purposes. Approximately six hours of various clips (including from PBS) have been used to compile an overarching (not exhaustive) educational summary of the ideas between and behind the Mandelbrot set, Fractals with hints of the Fibonacci Spiral and Golden Mean/Ratio. Edits and a variety of voice-overs have been added and/or edited to create a holistic view!
~ www.BrosInTheKn... ~
History is doomed to repeat itself...
Dang, maybe the earth isn't flat.
Best. Comment. Yet.
it’s not flat
@Fuck you - Maybe it's an egg?
Clean Keys lol it's not a pear shape.
The horizon is always level flattish and especially the ocean is particularly level. That's why it's called Sea Level Not Sea curve. 🖕😎👍
Maybe its 2 or 3 sided
My son gave me a book called Chaos Theory about 25 years ago. Since then i have been mesmerised by the whole concept. Fractals, Julia sets etc. Except I have no advanced mathematical skills at all and I am 75 years old with an appetite for stuff I don't get but which fascinates me. It never wanes.
But hey, isn't that what drives us forward? One may not understand something, but if you are fascinated by something, you might as well attempt to understand it :P
I'm only 27 and I'm the same way. I hope we both stay the same :)
Vera Wroe - I am 56 and my formal lack of education frees me to embrace the honesty of true beauty and here with the mandelbrot julia sets etc we find the whole cycle of life onwards and also the return to 0 and to fruit and back again. This is the motor of life the recipe of energy, I dont meditate but I think it wise for me to get a large image of this and place it before me and meditate on the image ! I feel this will be picked up by my subconscience and do as it should do within. I believe it is a wake up call do you hear the alarm clock of Mandelbrot will you awaken on time, is this what you are here for?
Ditto
What a grand inspiration you are, still curious, still open to learning new things, still hungry for knowledge.
When I was young and in school, I used to look at the tip of a freshly sharpened pencil lead. I reasoned that, on a molecular scale, every 'grain' (actually atom - I didn't know the term at the time) had a tip of it's own, and I imagined this tip going on forever, only so small that I couldn't see it. This video reminded me of that thought.
Good to know that I wasn't actually crazy.
Hell Paving Company good thought! This is where theories start and turn into fact after study & focus.
.....Yah but how many angels did you see dancing on the point...
Most crazing is fractal! I can almost see your jet cone now. Of course the carbon graphene sheets(each a molecule) in your graphite pencil 'lead' was a randomish fractal size distribution, and the slightly different carbon form of a perfect diamond is a single giant molecule, a sort of 'zero point' version of a fractal, perfect uniform tessellation.
Hell Paving Company think about the distance between you and those infinitely smaller parts, then apply relativity to those infinitely smaller parts, then you'll realize the timelessness of the universe. you'll always realize the whole universe is working in concert and a countless amount of smaller parts are making your existence possible.
I used to do the same exact thing. Then I imagined drawing a circle with an imaginary pencil so thin that it would allow for an infinite number of concentric circles inside it. The idea of an infinitely vast universe that accommodates an infinite number of ever tinier universes began to brew. Also, I struggled a lot with solipsism for a while :D
I'm so glad I now never need to see another video ever again.
WOAH THERE! Please do watch more... cat videos and such. BUT, this is the ONLY introduction to the Mandelbrot/fractals you need to see (at the start).
Once you see it, you can’t Unsee!
That's the truth@@pbohearn
TBH It's enough, this opens up the mind to the infinite, to the impossible and to understanding that not everything can be understood.
@@TheBITK cats Videos are important indeed.
This concept has opened up my mind, it seems like it's been happening slowly over the last ten years or so, but it's also becoming clearer, what it reveals
I recently watched a man on TH-cam show what happens to a drop of water when placed in a bowl within a speaker, depending on what he played that drop of water made endless pictures of the sounds. It was amazing, that is what this Mandelbrot set reminds me of. On a side note, I always sucked in math, which begs the question of why I am so enthralled with the topic.
You never sucked at Maths myFriend!!
You simply got Taught it as an “materialistic” Banal Topic;
Like Me;
And now like Me know it is Not!
= )
@@thanksskateart3462 I like the way you think. 👍🏻😬
I recently saw the water experiment, blew my mind! Equally these mathematical equations and the shapes in nature, its all linked. This is what should be taught in school!!!
Even better with iron fillings as it can be stopped and looked at
Cymatics
I have a vague memory of someone trying to explain this to me at a rave in the 90's. Classic visuals
Now THAT's a party! :)
Outstanding
Aahaha. All we pillpoppers and speed snorters back in the 90s pondered about these questions after a couple of days without sleep😊
That's where I learned all my math.
@@russelnelson4151 ronnie has twelve pills and goes to a rave party with 30 other people. He sells 6 pills to Betty, 4 pills to Bobby, and two pills to Jenny.
Jenny has a little bit of a cocaine problem and her friend just introduced her to LSD. After snorting a few lines of crank, Jenny pops both of her pills. She's been awake for 4 days already, so she goes insane and kills Betty. She steals Betty's pills and pops all of them.
How many bodies did the police find the next morning?
TH-cam recommendations gonna teach everybody about Mandelbrot Sets today, I love it.
Why they don`t show stuff like this on television? kids and adults will have so much knowledge, stuff that really is important to know...they only show garbage.
Try NOVA... it’s only been on the PBS for a few decades. There was a rad new one (to me) about Einstein and quantum computing last night.
-edit-
O shit, this *is* NOVA. Yeah, they definitely show this on tv.
The dumbing down of a whole worlds population. Knowledge is power🙄
As crazy as it might sound think about it. Humans are an intelligent species that have came a long way through history. Why would we knowingly put lies and garbage on television poisoning the young minds of our future generation? Why is there not a cure for cancer and aids? Why are we consuming even more genetically modified foods that are killing us when we could cheaply mass produce fresh veggies. We’re being lied to guys... I believe there is a hidden agenda and hopefully we’ll out what it is sooner rather than later. I am concerned for all of my fellow Americans.
@@iggymorts7086 think about it bro why would they dumb down generations of taxpaying Americans who in the future will contribute to new knowledge and new technologies that will help our species evolve. If the government hogs all the info then it would just die out with them. And let’s say the secrets are supposed to stay within the government for years to come. Eventually somebody would blow the whistle (if they’re actually a human being from planet earth)
@@mr.beesntrees5156 Hey Mr Bees. I have lots of ideas why they would want their slaves just smart enough to keep bringing in tax dollars yet not quite smart enough to see they are being fleeced. I remember when America was in the top three as far as education goes. Now we’re like 23rd or worse. If you’ve heard the Annunaki story about us being upgraded from Primates to gold miners, then there is one example. Slavery in America is another good example. They were taught just enough to be useful but were not allowed any real knowledge as that could lead to upheaval. The Muslim way of keeping their women under tight wraps is another example. It’s all throughout our history. Back in the Egyptian heyday it was common practice for only the Priests to have any real knowledge and even today like how the Vatican has who knows what in their vast underground libraries. You talked about a hidden agenda and I couldn’t agree more. “THEY” know it will all come out someday. I hope we’re still smart enough to act on it when it does.
Shortly after starting the "only video I need to see", I realized the entertainment value was going to be in the comments section.
There is quite a bit of entertainment in here, you're definitely not wrong!
Oh yes. I should know to check here first for my entertainment.
@@anonamuss1604 - It sure has been quite the ride, the commentary seems to be endless, and across so many subjects! LoL
We've all been pleasantly surprised.
What if we zoom into any living organisms molecules, then atoms, then subatomic particles and so on.. And we will end up exiting a black hole, seeing galaxies and star system in space that look and behave exactly like mentioned particles and just keep zooming in til we reach that exact living organism completing the loop? What if this is our reality? An endless loop of a simple principle which is particles vibrating and spinning around each other?
Woah@@denismoldovean6661, that is pretty mind bending in itself! I think there's a mobius strip thing here as well!
Man this comment section is the weirdest shit talking forum I have ever seen
Right?! There sure are a lot of different thoughts and participants... almost fractal-like, no? 😉
I am amazed at how far above some people are able to think. I consider myself smart and did well in school but genius impress's me much more then great sports hero's. I then think how far ahead is a supreme being, creator or God if you will, is advanced and I'm in awe. A simple star lit night and thought's of the size of the universe give me a sense of awe. I do like these videos because they offer a glimpse into how much I do not know.
We are the universe realizing itself for what might be the first time ever for all we know that in itself is extremely profound.
@@samsalamander8147 have y'all looked up at the starts lately? I'm sorry if I bust a bubble or two, but we are no longer in Kansas, (so to speak).
Think QUANTUM', REMEMBER: honey I shrunk the kids?
@@orphanartieguerrero7097 Wow you sound wacky! But I’ll bite, go ahead explain.
I went down a TH-cam rabbit hole to get to this video and now I learned the Mandlebrot set is a rabbit hole.
that goes on and on and on...
Whats most interesting to me with these Fractal Geometric patterns is that they are the closest representation of the patterns i see when taking Psilocybin or LSD
Yes, that seems to be a pattern to these patterns.
I saw the same patterns.
And that "cannabis leaf" at 20:26...
That's because that is how your eyes see the world. Believe it or not you always see in spirals. Close your eyes and press on them and you will see what you see at 14:14 of this video. On lsd your brains symmetry is taken away so you can see the spirals that you normally wouldn't. To quote the song laturalus by tool "swing on the spirals of our divinity and still be a human". Christ said we would walk with him in eternity or we can burn for eternity. There is life after death...I seen it in my death experience. Please people...don't be blind when you can see. Everyone asks for miricles when they are all around us. Fractles make up the world, the Galaxy, the ever expanding universe... The thumbprint of God...I say yes... We are... You are... The mirical. Amen
Well apparently lsd is made of math
I love being reminded of how beautiful maths can be. I remember as a wee pup, I was shown projective geometry in relation to nature around me. It was glorious, and I was hooked.
Yes, like the 3, 6, 9 pattern. Here, in us, in nature, the planet, and more. Tesla discovered this and it turned out to be astounding. And that man was rarely astounded let alone impressed, so intelligent as he was. Check that out. A key pattern in so much!
Glad to see Arthur C Clarke in this video. He introduced me to the idea of the M-Set when I was younger. Mandelbrot and Clarke; two icons!
So very true!
"Fountains of Paradise"? I believe that was the Clarke book that utilised the Mandelbrot set as part of the story and reproduced Mandelbrot's essay on measuring the coastline of Britain. It was my first introduction to fractals, years before home computers and vividly coloured posters brought Fractals to the general public.
Awesome! You were into fractals before they were cool! :)
NoneOfYour Beeswax I believe it was covered in Ghosts of the Grand Banks...but I can't find my copy of that book to verify and it's been soooooo long since I read Fountains of Paradise that I don't remember much about that book. Regardless, the M-set is amazing. And Arthur C Clarke opened me up to so much. What I admire about his writing is that, while the story was entertaining, he (usually) used such solid science that I learned something.
Yes, you're quite right, it was indeed The Ghost from the Grand Banks, thank you.
My copy has a Clarke piece of Fractal in the Appendix: The Colours of Infinity and concludes:
"I began by saying that the Mandelbrot Set is the most extraordinary discovery in the history of mathematics. For who could have possibly imagined that so absurdly simple an equation could have generated such - literally - infinite complexity, and such unearthly beauty?
The Mandelbrot Set is, as I have tried to explain, essentially a map. We've all read those stories about maps which reveal the location of hidden treasure.
Well, in this case - the map is the treasure!" - Arthur C. Clarke
i dont like the fact that we're all watching this at 2-3 am in the morning and youtube is all recommending this to us like its just normal
Hahaha!
Dude tell me about it
Wow on the exact wavelength😊😳
Coffee and bong hits
@@patrickbly4170 YES!
This realls is the best description and explanation of the mandelbrot set, thank you!
You're most welcome! Glad we could help. 🙂
Thanks for watching an commenting.
Don't know why this was in my recommended, but I'm here for it.
same
Same
Same
Same. Not to mention it's 4 years old.
Same here too. Hmmm. Maybe we were specially selected and with all our minds together we can figure out the meaning of life and all its secrets and lead humanity into the golden age.
You didnt search for this video.. It found you.
So true
secret garden
You didnt create this comment. You copied it.
Nope I really searched it
Just like Acid. You don’t look for acid. It finds you. Only when your ready.
I remember my brother showing and explaining me this stuff when I was at around 8 or 9.
I spent hours watching Mandelbrot sets in loop.
Changed forever.
There's something almost... magical about them isn't there?
@@TheBITK Nature is magic!
So very true @@mindofvalue4577! It really is. Have you seen much on the Fibonacci Spiral or the Golden Mean (aka Golden Ratio)?
Here's a video we put together on that: th-cam.com/video/Y1VL1g2Gg6o/w-d-xo.html
What happened with the damn phone lines?
I know right, I was waiting on them to go back to that but they never did
This is something my 5th grade Advanced Placement math teacher used to get so pissed at me for. I was talking algebra 101-151 and I could answer test questions without showing at lest two lines of work. At first she tried to fail me and accused me of cheating. I was at an expensive Catholic prep school.
I was also an alter boy, the one alter boy who was trusted with the key to the safe and all
Of the locked up gold chalices and other solid gold stuff…had to be more than 5 pounds of gold and platinum encrusted with huge rubies, diamonds, lapis, etc…
So I told the head priest one day. He was totally in charge of the entire school even far above the principal, a nun.
He walked into my math class the next day a told the teacher mrs. gallow to step outside and have a word with him. Even though the closed door we could all hear her protesting… he raised his voice once…the door opened… he said good afternoon to the class and gave a sort of grin in my direction…
The teacher looked white as a ghost the rest the hour. She asked me to stay for a minute after the bell. This is when she told me that I had an A+ for all of the crap she had tried to fail me on.
I skated through that class and till 8th grade without an more bs!
Yes that's all very well but are you still a Catholic and do you attend Mass genius?
This is the kind of stuff you see, and understand on acid, but forget about afterwards.
Due you ain’t fucking lying 😂😂😂the your just a dumbass
Laughing gas (when done right) too
Everything I learned on LSD stuck with me forever.
@@YourPalHDee How do you know you didn't forget that you forgot?
@@DeviantDeveloper hahahaha that made me giggle, because I can remember my trip from start to finish.
The simplicity of infinity.
uh...yeah. BTW...why how is the M set finite? What determines the end of a set?
Complexity in simplicity.
@@timeconstrained2400 generally when people get tired of infinite maths and finite coffee and come to a collective agreement on an ‘end’ 🤣, or I presume when the set can no longer be explained within the confines of the mathematics of the status quo, when the set is put back to bed for a couple decades until a major breakthrough happens :)
Couldn't have said it better myself@@sophiaemmerson9021!
It's the universe smiling back at us. I fucking love this.
Right?! It's amazing to see.
A smile, a wink, and a nudge, all like "Look at what we did." Interesting to think about how... it wouldn't be anything if we weren't here to see it, just as much as it is baked into the laws of math.
People who just got this in their recommended where yo at???
Checking in!
@@Ultre now let's watch this blow up lol. And in 10 years again😂😂😂
Yo!
Checking in from New England
Here. Wondering why I’m here. Just like everyone else. TH-cam algorithm pulled a fast one on all our asses.
I've seen the Mandelbrot Set patterns tripping on acid but that's another story to be told at an infinite time.
Underrated comment is underrated.
I suspect many saw the Mandelbrot Set during Woodstock.
Bwwww ahhhh ha ha ha ha. Yep!... A few years ago I came across a video a video where there were a handful of these 18 and 20 year old young lads who were picking and eating fresh magic shrooms right on the spot like 3 big shrooms per person at a time and I thought to myself these people were outta their minds or they would soon be out of their minds. You got to love youtube.
timwins31 well maybe nobody else appreciates you mentioning it but I do because you have to have experienced it to appreciate it.
That was my first thoughts when i seen the patterns,strange but true ..
It's good but I am not convinced it is the only video I need to see
Valid point, its an intro for the most part.
The older I get the more I realize I wasn’t afforded the time to actually develop ideas into fruition. As you become an adult you are drawn away from your own ideas and thrust into someone else’s.
That's a very true statement!
You many have meant it this deep, but that's a VERY deep statement... the truth can sometimes hurt.
Way leads on to way and before you know it....
mmmm so true
You do that to yourself
well said
I have to watch this twenty more times to get it all thru my thick skull
And I was so full of myself for being able to pee my entire name in the snow.
@F t - LoL
Puts a whole new meaning to the GOLDEN ratio... (I can't believe I said that).
Can you burp the alphabet though?
I programmed my first Mandlebrot set in the late 80's i think, on an Atari ST in shades of grey - took AGES to plot (in BASIC!).
Sweet! You certainly put in your time!
I programmed my first Mandelbrot set in 1985 on an Atari 400 in color. It took AGES to plot (in BASIC). But I projected it on a big screen behind my friends' psychedelic rock band in bars. So their 15 minute jams worked "organically" with the gradual drawing of the wild shapes.
I started off converting the algorithms in the _Scientific American_ August, 1985 "Computer Recreations" column by A. K. Dewdney ("A computer microscope zooms in for a look
at the most complex object in mathematics"):
www.scientificamerican.com/media/inline/blog/File/Dewdney_Mandelbrot.pdf
into BASIC, and found some other chaos algorithms like the Henon Map
en.wikipedia.org/wiki/H%C3%A9non_map
to implement. Really mindblowing stuff, especially when it was new.
+Matthew Rubenstein, that's really cool :) I first read about fractals in the Guardian newspaper, i can't remember where i got the algorithms but i think it was some kind of pseudo-code so easily translated into BASIC, i remember Henon maps too. I think i got the Mandelbrot set to draw the fastest i could get it by first checking every coordinate along the edge of the square it was currently plotting, and if all of those resulted in teh colour 0 (black), then that area of the screen could be ignored and the next box could be fetched. I'm amazed at the 3D fractals you can generate now, still amazing :)
So your algorithm was drawing bounding squares before their interior in the rendering plane? And if the bounding square was all convergent pixels you knew the interior was all convergent? I wasn't aware Mandelbrot sets worked that way.
I once heard Mandelbrot tell a UC Berkeley audience a funny story about a Hollywood special effects gig that hired him to render a fractal "mountain range". The producer came by after a while (weeks) to see how it was going, if it was done, but it wasn't. Mandelbrot told him it would take an unknowable amount of time to finish rendering one large triangle along the bottom/side. The producer said "we'll just crop it to what's already done", and did so. Mandelbrot and wife were invited to the movie premiere, were watching it, Mandelbrot glowing with the reflected stardom, when his wife gave him a big pinch. "THAT's NOT A FRACTAL!" she hissed in his ear. After years of watching so many she could recognize one, or an *invalid* one, on sight. Which was a funny story, but even more intriguing that the human brain can instantaneously validate geometry as we still cannot analytically either in theory or in computational practice.
So I'm not sure your approach made valid fractals. Or else maybe it's a geometry innovation that bears publishing. Or else I'm totally out of touch with the state of the fractal art since the 1980s, with the exception of a shallow knowledge of Garnet Ord's fractal time physics.
I wonder what they used for the mountain-range if it wasn't his fractal? To clarify my bounding-box approach, it was a recursive algorithm where the first box stored in the bucket list was the entire screen, then the four boxes within that, etc ... So, if the current box is within an area that's all black then that box doesn't need to be rendered. It sped up the process enormously (assuming there's lots of black in the area your'e looking at).
Around 15:00, "Anybody who can add and multiply can understand the principals of it's base." I can. "You don't even have to subtract or divide", and (or because) that's where math and reality collide. Although math has always been extremely important to science, medicine, music, etc etc., it cannot accurately represent reality at it's extreme points. We live in a finite universe, inwardly and outwardly. Math only mentally carries us beyond our finite boundaries into science fiction. With math, we can divide any number in half (or by 2) "forever". But with matter, we reach a point where material can no longer be cut in half. (And that point arrives rather quickly after cutting something 1" in diameter in half just a few dozen times.) Likewise, a volume of mass can only be doubled a limited amount of times. One ironic example would be, "What is the smallest fraction?". In math, it doesn't exist. But in reality, 1 must end and 2 must begin somewhere. To me, this hearkens back to Nikola Tesla when he said “Today’s scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.” Sure, Mandelbrot was a creative genius and this was a most intriguing and beautifully illustrated video. There are no doubt many more organized structures to math than we currently realize. (Indeed, I've discovered a few on my own. None as useful as Mandelbrot's. Yet anyway!). Still, kudos to my late Uncle Robert Noyce who helped Mandelbrot facilitate his calculations by inventing the micro-chip. (Why couldn't I grow up next to him!)
Wow! Thank you for your comment, sharing this is amazing! I'm in awe of the fact that your uncle had the opportunity to directly work with Benoit!
I also quite appreciated your comment/quote from Nikola Tesla, he was a "genius before his time" that made quite the impact on the world! I hope that his notes can be found (Especially by someone who cares enough to use them) so that the functional 'relations to reality' can be utilized!
One can only hope, eh? Again, thank you for your comment and for watching!
@@TheBITK Aw shucks, TBK, tanks! I usually expect an avalanche of criticism when I post my two bits. And I had a feeling Uncle Bob knew half those folks pictured in the video. What a time to be involved! As a kid in the 60's, we all knew Bob was the only millionaire in the family, but when we asked what he did, it all went over our heads. Naturally.
My life is a Mandelbrot set. Infinite projects, infinite OCD “side quest” details so nothing gets finished.
I'm in the same boat now :(
Now consider yourself a kraftsman. Every thing you do has collateral changes in your avenue or reality. It's CHOOSING which reality you want to see by taking action to get there.
I often think it's kinda funny how they put birthdate- deathdate on a gave stone. Nothing mattered except for the dash yet it is so overlooked. Consider the following: MeinKraft.
Watch a asparagus video
@@manonthebrain MeinKraft?
Wtf buddy???
I'll buy that for a dollar!!!
I got introduced to fractals about 15 years ago. I did not understand the concept, but lately I have seen some great visualizations of fractals. Mainly computer programs that run infinitely with a 3d world that is build with the same concept. The worlds are well rendered in 3D space, they are infinite and they don't require a lot of resources to explore either. As if it is sort of free. I still prefer simple logics / Pythagoras theorem for my own projects, but fractals sure are interesting.
Mandelbrot is like a LSD trip for the CPU
Lmao why is this so true
Maybe were in a advanced cpu on acid 🤷♂️
Mandelbrot's name is Benoit B Mandebrot.
The question is :
What does the B in Benoit B Mandelbrot stand for?
Answer:
Benoit B Mandelbrot!
It's all recursion!
I see what he did there...
what a clever fellow!
Goddamnit i've just been Mandelbrot'd lmao
@@thejapaneseguy3474, tricky fellow... wasn't he?
Perfect, david
Finally I can stop watching youtube videos!
WHY COULDN'T I FIND THIS 10 YEARS AGO?!?!?!?!
LoL exactly!
Aaand mic drop
LOL
TheBITK I think he was actually mocking your title dude.
perhaps he wasnt mocking the title (im sure he was) and was simply saying its possible this video could provide endless videos within it.
Could you make the background music louder? I can still hear
some of the words
Lmao...very funny...never heard that one before.
It's funny coz it's true!
I’m in my senior year of engineering and I thought I knew math. I’ll always mentally noted patterns but at this level my mind is blown somebody sees discovered all this. They were ahead of their time
Thanks for your comment Carlo. It's amazing that a pattern appears/continues for "so far"! This principle has also been applied to computer sciences (video game backgrounds in particular), I wonder if it could be applied to biometrics or the study of our human body as well and wonder where else it could apply.
Why is there so many replies today when this video has been here for years? Is there a reason why it was recommended to so many on this specific day or are TH-cam algorithms targeting better to suit an audience’s interests?
Are you saying there is some type of pattern? ;-)
I've had this on my playlist for a while actually, but some do not believe in coincidences (after all...I chose today to finally enjoy it)!
Nice you noticed that!
The TH-cam algorithm is one I have no resentment against. It generally recommends stuff I do like. Unlike Facebook etc.
It's because mathematics, about week ago, calculated exact value of infinity
The Mandelbrot has gotten in my head.
It’s taking over.
You can’t run from it
IT'S EVERYWHERE!!!!
Really, though... it is... everywhere.
Its a blue print of the universe. You are the universe. It's a blue print of you.
Inside and out,@@sean2549! Thanks for your comment and for watching!
Pausing the video so I can do a tab of acid....be right back
LoL - bookmark it. ;)
So how was it after the tab?
Inquiring minds want to know @waywardSpirit, like me and@@jefflubinski4341 for starts. 😉
😂😂😂
Shrooms for me lol
That's the pattern of the creation... Wow!
Great point - It's beautiful!
It never occurred to me that a formula could create such an amazing picture. Maybe all of life is a formula and not random.
That's why randomness is impossible. You are on the right path.
Just added the video to my watch later playlist so I can watch some cool content before watching the only video I need to see.
What do you need to see?
@@dillpickle8015 Apparently, only this video.
LoL - I felt a little zinger there...
I hope you do find some more good videos (cats or pets and funny, harmless wipeout videos. 😉
What about the noisy telephone lines ?
They lived happily ever after, retired on a beach in paradise.
They switched to digital and analog noise wasn't an issue.
I am a Fellow Engineer and was a Distinguished Staff Engineer for AT&T. I have worked with and modeled telecom noise for data-communications. The noise spectrums has nothing in common to Mandelbrot nor have anything looking as in this video. This is complete BS.
@@AlphaMale_1 Are you arguing that he never saw patterns in the noise? Fractal geometry was used to design wireless antennas for optimal performance. It was also used to auto generate geometry in 3d space. As an engineer I'm surprised you have little respect for this line of mathematics, although I agree I don't know what it did for SNR.
Even though I dropped out of my engineering course I had an uncanny ability to draw graphs by simply looking at functions. It happened more than once in class that I would draw it with my hand in the air and the lecturer would point me out
Not many have that gift to visualize so clearly... I hope you were able to harness that gift. :)
Dang this channel still relying to comments 4 years later
Yup, we're human and I'm dedicated! :)
On that note... thank you for watching and commenting.
So I guess we all saw this on Saturday 11/7/2020?
Seems so. I guess it has to be called something I guess.
Why am I seeing this now?
It's Sunday in India
Tool should do a new album dedicated to this, but it would literally take them forever to release it.
100% on board with this! :)
Can't wait to buy i tin 2029.
Excellent excuse for not doing housework, you can never get anything completely clean , but likewise it will never be completely dirty!
Only problem is when someone says things cant get any worse they obviously can. However when someone says it cant get any better they are lying to you.
Choose the better option is my opinion.
UNLESS, of course, you have the newly patented Mandel-BROOM! For three easy payments of $9.99 plus shipping & handling, you can get your place as clean (or keep it as dirty) as you'd like!
Seriously though, I have always considered myself as the "average" of all the "could be" versions of me. Thinking comic book style, in another universe/timeline I'm hopeless and poor... yet in another I'm a wealthy superstar. In another I'm sad and lonely, and in another I'm so full of joy and friendship!
Where I am right now, is the best place I can be and that's all that I expect. 😁 Be the best "YOU" that you can be!
somewhere around the 13 minute mark that Infinity music starts playing quietly and slowly grows louder freaked me the hell out I thought I was getting a phone call or an alarm going off no idea that it was part of the video until about 1 minute into it.
Just playing tricks with your mind...
😉
Those fractals are what I see when a migraine headache is coming.
If you experience a sort of flash going across your eye and then later you end up with a migraine headache your more than likely experiencing and ocular migraine. They are brought on by in my experience bright lights like when you have a cloudy day and there is no sun but it’s very white and bright and very sunny bright days I get them now and then but before I get the flashes I notice that when I put my fist up in front of my one of my eyes I’ve got no peripheral vision and I can’t see my fist very strange my father has them as well ask your family if They have them also.
Basically, this is a mathematical representation of creation.
Great comment/observation! I would tend to agree with you.
Watching this at 2 AM hits different.
So true! Being a different state of mind can change what you get out of this! It's all about perspective!
I feel like creation is fractal in nature. Like it all started with a very simple pattern repeated. We exist within that pattern. Everyone is looking for all these answers, but “the part is like the whole, and the whole is like the part” so the answers are all around you. It’s just a self similar pattern. Or maybe I’ve done too many psychedelics..lol
LoL, maybe… maybe not! 🙂
One thing I know for sure is that a strand for DNA has ALL the components to make up any kind of species, but only of its own kind! For instance, all the “code” for a Dalmatian to a chihuahua, a wild wolf to a tea cup poodle are ALL contained in the DNA of any dog! That amazes me!
There's a very good TED Talk about how African architecture and urban planning is laid out like fractals. I was reminded of that while watching this.
Did you get the link Daniel?
Holy fuck... I use to think this stuff was sooo boring but its so deep and there's so much here its just plain amazing
Well, your English composition skills indicate that you were less than attentive in both your English and math classes. Typically this extends to such an individual’s entire educational experience. (Used to, it’s, punctuation/lack thereof)
“Many things which must be thought about uninteresting, and even those things that are interesting at first often become very weary some before they have been considered as long as is necessary. The power of giving prolonged attention is very important and it’s not likely to be widely acquired except as a habit induced originally by outside pressure.”
Schools rarely provide the required ‘outside pressure’. George Bush essentially removed it entirely with his ‘No Child Left Behind’ program.
All praise, honor and glory be to the ultimate Mathematician, Almighty God, forever and ever, Amen.
What?
Thank you utube. This was extremely interesting and presented in an understandable way
Right on! Thanks for your comment and for taking the time to watch, glad you found it educational. 🙂
so, what was IBM's solution to the problem of noise in the transmission lines?
using smaller impulses to transmit information, because a little imagine of this fractal like thing you saw trough the wire is enough to transmit everything. So not a full load of information sending, just little fragments.
Your phone also uses fractals for its antenna. Radio waves have a wavelength of up to a couple of kilometers. To be able to receive it, you could use an antenna as big as half the wavelength, but, as you can imagine, that would be a little bit hard to accomplish. If you build an antenna, just a fraction (λ/2)/n is needing, then you can make it really really tiny.
If you think about an antenna up a roof, you have a long rod holding it in place and then a few bar perpendicular to it and then on them again smaller ones.
@@Bananakid11 Thank you!!
The interesting part is these fractals can be seen in visions when your in psychedelics. What is psychedelics? These are drugs like mushrooms, lsd, dmt, ayahuasca, peyote etc.. Well Psyche means mind and Delos means manifest, so mind manifesting or mind altering. So what's the point you say? Well psychedelics are used today in medications for treating psychosis, addiction, PTSD just to name a few. These drugs are also used as tools for studying conciousness and where it comes from. Am I the only one that is seeing a pattern here? This is some interesting shit.
Very good point here Deen! I hadn't realized that low dosages were being used to treat various mental disorders, although it would make sense to use them. Thank you for watching and commenting. 🙂
agreed!
It does appear that psychedelics may reduce what some see as the “filtering” effect of the human brain upon consciousness. What we describe as surreal hallucinogenic trips may in fact be a glimpse into how our world actually is.
Huh... another fascinating comment@@benv5243! Thanks for commenting here!
You still replying to comments yo what a man u are❤️😁
This needs some Pink Floyd.......
Right?!
Already has some Grateful Dead and Frank Zappa.
Mathematics is clearly the universal language. We have not even scratched the surface. We must bring more minds to bear. This fact alone means we MUST !!! make learning enjoyable.
So true! Schooling seems to have become TELLING pupils things rather than allowing pupils to think bigger… to allow students to find and create. It’s just regurgitating the “same old, same old”. But, is anyone fighting for a change in that?
i hated maths.. and I still do, however this is interesting
It isn't merely what is labelled math but the reality of illusion.
It's faked
@@dereksmallsuk loser
check out the Fibonacci sequence!
@@judeau9151 Tool already have.
They faked that too.
I like how this guy's replying to evry comment even after 4 years!
Keep up boy!👍
Doing my best! I'm not necessarily fast, but I'm trying to get to all of them!
Thanks for the encouragement, and thank you for both watching and commenting! Here's hoping you have the best day yet. 🙂
how do you create a complete set of something infinite?
Fantastic question! We don't know either.
Create a circle or infinite sign
He just made it scalable so you can see it. In reality it truly is infinite
We humans can not create something out of nothing; something or anything had to be bofore. We can not create a complete set of something infinite, BUT we can recreate.
Infinity can end anywhere... just depends on how far you choose to pursue it.
Maths?! TH-cam you sneaky bastard! you tricked me!
*shakes fist in the air *
Blast you algorithm!!
Always come back to this to remind me what a beautiful reality we live in. 💛✨
So very true, it's an amazing picture, isn't it?
Check out the secret code of creation , they go into so much details abput the equation and the diagrams, truly magnificent
Will do@@paulgray2928! Thanks for the recommendation. 🙂
@@TheBITK its on for around 1 hour , enjoy
@@TheBITK you're very welcome
Very interesting, but I'm curious: How is the Mandelbrot set colored? Is there a convention used, some sort of procedural color generation based on properties? or just acid trip colors because then it looks cooler...?
Zac Jelke Former. The thing is iteration.
I believe that Mathologer explains this quite well, or it was one of the other math channels, but they all talk about it. I think that the result of the iteration is plotted on a spectrum that used to generate color, and the center of that spectrum just follows the zoom level, because when you zoom in you create a new iteration and therefore new colors.
The amount of iterations it takes for the Z sub n to reach greater than 2, at which it blows up towards infinity quite quickly.
Great question Zac, it's usually only white and black (White =1 Black = 0) so the colors are added to enhance our viewing pleasure... apparently.
I saw one in which they had three slightly different sets, then they assigned a color channel to each one of them and combined them into an rgb image. It looked amazing :D
Did you know 'mandelbrot" means 'almond bread' in German?
And his middle initial (B) stands for Benoit B. Mandelbrot?
i heard if you eat enough almonds, you start to see fractals
So did he fix the telephone wire noise problem for IBM?
Frustrating the video never returned to that.
the only reason I watched to the end and didn't find out!
Probably not..... Fractional fracture fractures fracked the telephone oscillation units, thus causing a fractal LSD experience by fractions and someone else used an oscillating scanner and learned the telephone company (AT&T, Bell Labs) used LSD fractals to frack the fractured fractals into endless feed back looped with helpless doomed incarcerated numbers, spiraling spirals, groovy music, and followed the fractals fracked the fracking Cylon Toasters that never made toast! Wow, the endless use of fractal words!!! 🙄🙄🙄🙄
@@lawnmowermanTX ...'endless use of fractal "words"..'?
@@raymondfrye5017 I wasn’t much into math and this unrealistic episode of using analog telephone lines to transmit data for IBM which led to a fractal frakking episode... Monsters were the Zentradi and eventually Mother-in-laws moving in to dominate a weak husband. Unless the Cuckold Experience is dead and husbands enjoy knowing his wife has boyfriends on speed dial? Nah... lol
Yo, did you catch Mandelbrot's set last night? Yeah dood... it felt like it went on for ever tho.
HEY-O!!!!!
This has got to be one of the best comments so far!
Pure genius! I'm so glad I found this!!
We're glad you found it to! :) Thanks for watching!
The Internet Optimist flat
One genius only discovered what another Genius left for him to find.
Mandelbrot expanded on Julia's work. That's what geniuses do; they make new correlations using existing ideas to create new ideas. Julia continued work laid down by others as well. Ironically, human innovation relies on a sort of fractal of wisdom, where each discovery is a correlation between other discoveries and this goes on and on and on.
And those ideas come from source. But why is it a prolonged ordeal. Why not all at once.
It wasn't the only video that I needed to see. And I didn't even need to see it at all.
Aw, bummer... well, thanks for your time. Apologies that you didn't find it useful or valuable.
I hated math cuz I thought it hated me. Then I tried loving it and now I a math addict. Geometry is my drug of choice…
And Roger Penrose got me here xD
This is great news!
So, besides seeing the mind of Jimi Hendrix, what practical functions can we apply this mathematics?
Mathematics are the code that the coder programmed. They're always there, we just discover them. Spirit is water. We're seeing existence. Mathematics is just the program so don't get caught up in the details. Think bigger
@@YuckFou502 thanks... Still confused... But I will try to get it eventually. Hahaha
Fractal geometry is used extensively in procedural generation, particularly for terrain and vegetation. Not the Mandelbrot Set specifically, but similar methods are used.
The Mandelbrot set itself is just one of the simplest examples of this fractal behavior, and thus was easy to calculate... relatively speaking.
Didn't you see the beginning of the video? It was used by IBM to decipher electrical signals
lmao
The patterns made from these numbers are like a manifestation of life itself
You're right! We see these patterns and fractals throughout existence... everywhere! Inside our bodies, outside in the universe! Amazing to think about, isn't it?
It makes you think doesn't it.
So true@@devonwhitesrabbithole6214, so very true!
I’m now able to do my own taxes by hand.
Okay, now you're taking this to an extreme level.
Taxes?! They will be gone look up Nesara/Gesara
So, the most brilliant mathematician ever figured out a Grateful Dead tee-shirt?
LoL
Good one!
Our existence was engineered, by whom is a question not answered until our deaths....if we're allowed.
Ummmm, it’s God. Infinite creator.
A conscious universe
See Bruce Lipton and Tom Campbell TH-cam.
Mind blowing stuff.!
This video is over 4 years old. Apparently, YT's algorithm thinks this is the right time to offer it to all of us recent commenters. Why would that be? What were you guys looking at or searching for as this turned up?
i looked for "booker t & the m.g.'s". was not disappointed :)
Stanford university lecture. Reductionism and chaos.
@@AntonTroshin Thanks! Well, they say that there's mathematics in music and music in maths! ;-)
@@aidan9876 Thanks! That fits!
Why are you asking too many questions ? Why do you even care about the algorithm.. go complain to youtube
The universe is now or is destined to be infinite. It is accelerating and expanding. For your information the creator is from everlasting to everlasting.
Curious...you know this how?
Great question @@timkunits3426, some would consider it difficult to know as no one has ever "seen" or witnessed a substantial change in the universe. We can draw deductions from assumptions based on evidence we observe HOWEVER there was someone who claimed to be the creator Himself (Jesus Christ) and there's a historical book documenting it all, called the Holy Bible. That's my personal observation and findings though, please research this for yourself so you can be absolutely sure of it.
The hippies knew this in the 60s. It's called LSD
LoL, they were onto something after all!
Shut up....please
Yeah but they couldn't describe it mathematically because they were trippin too hard.
Hipppies made this.
Budd Ha Is that Jerry Garcia talking???
For some reason I thought the video was gonna be about electronic music like kraftwerk but turned out 2b some mathematician taking LSD and applying what he saw into mathematical language.
Thanks 4 the likes!
I just glanced down to see if anyone else was thinking that...
#Science? Science in Math, maybe?
@@TheBITK Latin translation of science is "laborious knowledge" ......
@@loganf9701 - to extend that further...
"Facts, information, and skills acquired by a person through experience or education..." "involving, requiring, or characterized by hard and sustained effort" - Knowledge Laborious! Life is complicated, isn't it?
I'm so happy to see so many new views, best video ever!!!
Infinity is real, what goes beyond the realm of understanding is what comprises most of our reality
Well thank you for the kind words! 🙂
AND you're right! Infinity is amazing.
Man.....yall......this just correlates with some things I been studying yo. This junk is amazing. I feel like I'm on the brink of a discovery!!!! Things are adding up and coming together to paint a picture! 🤗
......I just don't know what it is yet.....🤔
That's wierd. I'm watching this and 3/4s the way through I've been thinking the same thing!
Spoiler; see what i did there with the fraction😉
@@seasiderover10 we might need to collaborate. 😆...... I'm getting to the point my brain is running circles around itself though. I have to take frequent breaks from this study and research something else. 😆😆😆
I always come back to it though. 🤙
@@TheBITK I'm sure so! 😂😂😂
I think I've already gone over edge though. I've been studying dimensions and the concept of time specifically for about 6 years now. Everything learned just adds to it. I'm a nerd so....boom boom, ain't it great to be crazy?? 🤣🤣🙃
LoL@@ViveLaIsrael, great song reference!! 😉
Been some time since I've been here, has the song at 13:16 been discovered or is it still a mystery?
@@You-Deef do it man I'll buy it 😎
@@DRL92 Yea whatever nice try douchebag
Unity Of the universe pointing to one and only one creator . Out standing video .
Some kid running a simulation. We are in the simulation.
It sure seems to point to that doesn't it?
Yup, but who's controlling who,@@dalea1691? I feel like maybe that kid is controlling the world around me and I'm just a toy in the big game... maybe like and orchestra? I'm the triangle player in the corner waiting my time to ding the thing like crazy... just waiting.
@@TheBITK We may & most likely never know. But it's ok to wonder about this. Humanity has a instinct to know the impossible.
@@TheBITK Indeed it does. Thanks .
Mind blown.. simply intricate foreverness.
Beautiful.
So very true! Thanks for watching and commenting Ozric. 🙂
I gave up on trying to understand women. This stuff is so much easier.
stop saying this. start paying closer attention to women.
I understand women and this is boring especially when it is used against men and women the same. IBM was used by Hitler to kill people
Fractals can break sanity if thought if too much. A headache and a fun riddle for a while
So every piece of matter is actually an infinite piece of reality?
Well, atoms do resemble solar systems. Or maybe it's the reverse. Great contemplation while stoned. 😄
@@DC-ei9vl lol. And yea, as above, so below!
@@DNotzz Whatever you say, Trismegistus. Lol.
Well, the Higgs Boson is a scientific conjuration that represents the ultimate bottom level of physical existence. That is why they humbly refer to it as the God Particle.
Ok but I still don't know how to make stuffed peppers.... i dont think this is the "only video I'll need to watch " the title was misleading
You got me... ALTHOUGH, you might notice a "fractal pattern" in the seeds inside those peppers. #justSaying
hilarious!!! 😆
You’re not visualizing grilling the peppers.
If you try to graph time it begins to Make circles, when you rapidly increase this process you see spirals, much like the video. we are currently on the cusp of time
Wild, that's even more mind blowing.
link us in on the vid man! I wanna watch that about the circles and cusp of time!
holy shit got my head churning here. how we observe the world differently depending on what were doing and our state of mind, i dunno haha
Time IS a sorting mechanism.
String theory
Best thing I’ve watched all year
Right on! That's so great to hear Rooz! Thanks for watching and commenting!
why the hell is this getting reccomended