Sentence in the Mandelbrot Set
ฝัง
- เผยแพร่เมื่อ 14 ม.ค. 2012
- Amazing new discovery!
Sentence magnification = 1.9e81
Final magnification = 1.5e110
Coordiantes:
real: -1.768,010,207,885,292,485,096,455,932,501,431,452,787,808,619,665,428,630,688,176,866,932,880,890,752,608,130,523,302,708,235,225,880,005,923,084,318,33
imag:
-0.006,549,734,413,678,931,050,066,077,600,995,564,782,557,871,706,977,125,749,218,220,354,322,280,587,594,010,179,686,199,993,596,850,414,977,125,832,77
Yay for fast computers! This zoom took only 1 hour, 25 minutes to render!
Music is "Danse Macabre" by Kevin MacLeod!
incompetech.com - ภาพยนตร์และแอนิเมชัน
"Given 6 = x, solve for x"
Solution:
Consider the set of all complex numbers _c_ for which the output of the function _Z = z^2 + c_ remains bounded under iteration at _z = 0_ ...
Andrew Cunningham well why does x learns his value say x is 7
o h
Actually there is no solution. According to an in-depth explanation x = 7, so therefore 6 = x is mathematically incorrect.
X finds out his value has gone too far
given 6 = x, solve for x.
it's technically 6 lmao
0:21 that jumpscare in the music scared the shit outta me
Teme_Heppu69 same
That comment made me laugh way more than it should have.
If anyone is wondering it is Dance Macabre by Saint-Saëns. th-cam.com/video/YyknBTm_YyM/w-d-xo.html
Imagine if you found "hi there :D" in comic sans. That would be neat.
+TehNetherlands or "u dimension sux"
tecnically the mandlebrot set has infinite complexity and new shapes always arise...
soooooooo you can be sure that there is a u dimension sux somewhere in there...
michael papadopoulos
you coment make me think about this complexity... thx.
Supposing that you can infinitely zoom into this fractal, and there an infinite amount of pattern, you can theorically find a "Hi there dude :D, How r u ?"
There are an infinite number of numbers between 1 and 2, but none of them are ever 3. That being said, the Mandelbrot set isn't actually self-similar, so there's likely to be something roughly like that.
It could also be read as "X is six", which is not true. X is equal to 7.
Yes that is true. X has any value.
xfohv
X is anything
No-one got this reference, did they?
I know why.
BECAUSE THE TWO IS CONNECTED TO THE THREE PLUS X
Hayden Lyons It’s xfohv.
I think if you zoom deep enough, you can find probably anything inside the mandelbrot fractal.
You can zoom in forever into a certain area and the pattern will never appear to change. Depending on where you zoom, you'll either find similar patterns, or more complex patterns of the same type (a spiral with more lines than before for example), but everything will stay a mathematical pattern. You can find many different variations of fractals, but they will always be fractals with many "symmetries" and circular, linear, or spiral patterns. Basically, it will always be along the lines of what you see in this video.
I think it may be a bit like lookin into the decimals of PI. You could probably find an encoding of every data imaginable, including this sentence, in the number PI, if you look long enough. That's just a theory though.
Pi and other irrationals dont have any repeating sequences in them, but that doesn't mean they necessarily contain information.
Consider this irrational number: 1.101001000100001... after every 1, the number of 0's increases. Never a repeat, but definitely no sentences. Oh, but I'm actually lying. You *could* pull letters out of that number, by using an algorithm that interpreted the number of zeroes in each segment as a number, and then translated that number into a letter by taking it modulo 26 or something. One problem. That's not an algorithm for finding information in any number. That's an algorithm for turning a certain number of zeroes into a letter. Parts of pi have multiple zeroes too and it would work just as well there.
So this is the interesting thing. We can know a number perfectly well, but any algorithm that turns it into text is completely arbitrary. If you write anything for turning digits of an irrational into letters, well, shakespeare is somewhere in that number. But if you write the right algorithm, shakespeare starts with the first digit. But then, what did you do? Did you write an algorithm for finding shakespeare in the number?
Or...
Did you write an algorithm that contains shakespeare in it, with the irrational number being the decryption key?
Thinking about it from the programming perspective, and all the special conditions that would have to be met to make the chosen irrational produce shakespeare, I think it has to be the algorithm that has the actual play. Because you could just as easily write an algorithm that finds shakespeares stuf in the second decimal place, or the third. And it doesn't even have to be an irrational number. It just has to be a numbr such that ithas enough digits for your algoirthms to make what you're looking for come out.
It doesn't work like that because the number pi has no symmetry. Its just constantly random. The Mandlebrot always show images with a lot of rotational symmetry so cannot show randomness. What is interesting is how our eyes are attracted to symmetry and repetition though. Great paintings and music are all examples of symmetry.
If this sort of idea interests you I HIGHLY recommend watching Messages For The Future by Vsauce. Make sure you watch the whole thing though
3:13 SOS
313?
Rinat Ben Moshe 3:13
Mandel needs help
Mandelbrot: sos help I inverted
six is o six is
sixisosixis
I'm sure glad the universe uses English type fonts to express itself within mathematical equations.
Lol, imagine that.
I've seen other videos of sentences in the Mandelbrot set and it seems that
"six is six"
is all over the Mandelbrot set.
Well yes, it's a fractal. That means it's effectively symmetrical in many ways and everything in it repeats at smaller and smaller levels.
Nate Lanza Not neccesarily... A fractal doesn't always have to be self similar. In fact, that almost goes against the original definition. Look up "3 Brown 1 Blue Fractals are not always self similar", he has a really good video on it.
maybe six six six the number fo the beast?
Fractals have infinite area, and the Set repeats a lot!
This is so elegant. The Mandelbrot Set is telling us that, no matter where you are, how big or how small; no matter how advanced your technology, which allows you to zoom in so deep; no matter the richness of the colors and patterns which surround you -- the laws of nature are always the same. Six always equals six. No matter what, nobody is above natural congruence and order.
It's my pfp!!!!!
@@linhviet12505you both have same pfps
No, God is above even the laws of Nature.
I feel the point of these is to make one enjoy life... As you see you can rush and rush and try to get everything done but you always end up back where you began...
It actually says "Six is six is". Sounds like it could go on forever.
(Six is six is six is six is six is six is six is...)
Probably because it’s a Mandelbrot set so it could go on forever
and it ends with seven
Music is "Danse Macabre" by Camille Saint-Saëns, a symphonic poem for violin and orchestra. This electronic version has "just" been arranged by Kevin MacLeod!
Best Regards
Five years later and it's still not fixed!
wonder what happens if i watch this on drugs
Akkupack Husky I'm doing it right now, it's great.
Then you will be astounded that six is six.
lol and would spend the rest of your trip thinking about it until finally after coming down you glance at the clock and see that it's six o'clock.
you'll create a black hole which will leave you off into infinite structures like these.
You will wake up again on the streets
X is six?
K thanks Mandelbrot for giving me the answer to my 1 year old cousin's math test
Mr Guy first reply with 36blikes
Mr Guy likes
x is sei start six end sisisisisisisisisisisisisisisisisisisisisisisisisisisisisisisisisisisisisiaisisisi...isisisix
Mr Guy six not sei
Mr Guy 4(9)=x^2
Really enjoying the colours in this one. Beautiful.
That was the trippiest ,most psychedelic episode of Jonathan Creek EVER!
A computer did _how many_ calculations to compute 6=6 !?
Six, obviously.
6 is 6 kwiq maffs
Thank you so much for adding the exact coordinates!
it means the number six is six years old.
Or maybe a kid named Six is six years old. Or a pet.
Six is 6
6÷2=3
3
Triangle
Mandelbrot is illuminati confirmed.
Cazaam the Angry Aspie I thought that was gonna be a half life 3 joke for a moment
+Cazaam The Angry Aspie mandlebrot is based on the power of 2 so 6÷2=illuminati makes sense :D
3 does not equal triangle. You have to go from numbers to whole shapes... that's quite a jump for your little unoriginal joke.
Cazaam it actually looks likes its missing something at the end of sentence. ( s. Nd + sing in the center.
half life 3 not?
six is six is
even the sentence is fractal
"six is six" is six is six.
i'll turn your isis into waswas
. six
. is
six is o six is
. is
. six
Wait... Six is Six sounds like 666..... HOLy FU-
Super Sky Scout DEVIL
Or 66-- the number of books in the Bible
*finds a brony in the Mandelbrot set *
..... .. ..
It is actually Six is Six is, which is a palindrome and in my opinion, says "axis axis"
Maybe xy coordinates.
It definitely means your good at selectively zooming into the Mandelbrot set... Now, if you can just find Six Six Six, then you'll have a religious uprising against mans fractal... There is an awesome hypothetical philosophy that can be sussed out there, but I'm too hungover to care.
It must be done!
*grammer
no capital
Pi *"Grammar", not "grammer".
Trey Atkins
Woooooooooooooooosh
@Pi How the fuck is that a “woooooooooosh”?
Also woooosh has 4 o’s
Great render, many thanks
2:21 you're right mandelbrot set, six really is six.
i thought it was
s)x (s s)x
You left off the final (s.
lmao
sixis sixis
Oh-"i" is a complex number, and c=xy+i, that means Z=z^2+xy+i, so the Mandelbrot set has something to do with complex numbers.
Complex sentences? Probably not...
...however, maybe we could make a hyper complex equation that could create rather complex sentences such as:
"red is primary"
Might seem simple to you...until you realize just "Six is six is" was such a big feat!
Sorry but complex number c can be in general written as c = x + yi
As for the Mandelbrot set, it is set of complex numbers that don't diverge when you use the formula
Zₙ = (Z₍ₙ₋₁₎)² + c where Zₒ = 0
Jacob yes it it complex numbers, i renember seeing a vid on the madlebrot set
Itll be interesting to see if we can develop a way to systematically explore the patterns.
What was this rendered in? I'd love to reproduce a zoom effect and splice them all together.
Does it get progressively harder to render the deeper you go? I mean, you need more iterations the deeper you want to go, but you're just rendering for the fractal inside the frame, so does that still make it tougher to go deeper?
There's something you've failed to consider. The amount of pixels you need to render stays the same. Not only is the iteration increase therefore not countered in this way, but there's more and more precision in each pixel as you go deeper. So it does indeed get tougher.
the music fits the video very well
I had no Idea you did this, even this long ago.
When 6 = 6, the infinity = infinity, me = me, violin = violin, instruments = General Midi synthesizers and Saint-Saëns = MacLeod! The fractal shows it clearly!
Cary, very good zoom. What do you think of the burning ship equation?
Why not 'Six is sixis', or Sixis, six is. If the sentence is inherent in the set (which I don't believe for a minute), we can't just eliminate letters because they are inconvenient.
I like this video. The music is good too!
Nice video! But how do you get the accuracy to zoom this much in? You need a real variable type for that with at least 100 digits roughly ...
"What does this mean?"
We recognize what is written because the symbols generated by the fractal are similar to the characters we invented to represent the letters of the alphabet. Nothing more.
It just means that we humans always try to create connections of meaning in things, even when those connections do not exist.
You must be fun at parties.
Ur right
R/iamreallysmart
bravo. I was going to do one with 4, 8, 15, 16, 23, 42 but i didn't think people would get it. of course it goes without saying that the entire universe is in there somewhere, if properly decoded.
what program/code did you use to zoom in, computers have gotten a lot faster since 2012 and i want to try
I would be extremely interested if you found, Macroscope, the name of a novel by Piers Anthony. Anyone who has read it would know why.
It's like trying to find a needle in a haystack!
Or a Mandelbrot Set, in this case.
The music is Runescape + Shakespearean drama + Soviet cartoons
what happens if u steer right forever while still zooming at very high speed. Will u make it to the set, or get lost ??
Wouldn't it statistically be impossible to not have another sentence in the set? It is infinitely deep after all, and everything exists in infinity.
Not quite. Consider 0.33333333 repeating. It's infinite, yet you can't find a 2 in it. Still, it's amazing that a simple mathematical formula can express something so complex like the mandelbrot set.
How about the infinite set of prime numbers? You will never find a 4 in the ones place
If you got an infinite amount of apples, that doesn't mean one of them is a pear.
Justin Crain What a bunch of drivel.
@@Gocraingo Y'alright man?
What's your colour scheme? It looks amazing 😍
Interesting.
Could be "X is Six". Could also be "6 is 9" or "5 is 2", the S can be a 5 or 2, and six is spelled out while nine you could get from IX as a roman numeral. I wonder what it means
When you've gone this far only to find a tautology
What software do you use to render these zooms?
2:10 S is in each corner
anybody knows a fractal generation software that can at least zoom up to 10^100?
So The Village is imbedded in the Mandelbrot Set?
No wonder he could never get out.
@TheTGrodz Yes, if anything it appears to get more complex the deeper you go.
bravo. I was going to do one with 4, 8, 15, 16, 23, 42 but i didn't think people would get it. of course it goes without saying that the entire universe is in there somewhere, if properly decoded. Have you ever found any hearts?
have you found something important that will help you understand the fractal file system
Thanks Mandlebrot Set! I Always Thought 6 Was Potato.
What is this manselbrot thing.. how to make it.. its an apps or just cgi?..
It would be cool if you found a picture in it, like a stick man
When you realize that you used to watch him, then sub to him years later
software?
what did you use?
ultra fractal? kalles fraktaler?
This music remembers me of the late 10th century.
Always reading from the centre, it says six six, with 180 degrees of separation. Perhaps we can find a triplet reading six six six, with 120 degrees of separation.
There are a number of Julia sets seen in this video. Just numerous amounts.
Did you find this just by pure dumb luck, or did you use some sort of mathematical method to find iterative letterforms?
Wtf did I even just watch. This blew my mind
So Cary, if you continued to zoom in, could the Mandlebrot go on forever?
Yes, but in order to continue zooming in, you would need to increase the number of iterations which would increase render time a lot.
I read it as "x is six"
Wait, I thought x was 7...
xfohv
xfohv
xfohv
Who's mind doesn't explode when watching these?
I'm drawn to the edges in regards to our perspective. We are doing a straw hall viewing going in one direction, the whole is boundless in any direction.
A little tweak on the code and it can be a universe generator in program.
how did you find this? i mean, its probably too complex to explain in yt comments lol. can you give me a search term or something?
How is the Mandelbrot Set formed. The basics are surprisingly easy to understand if you know what imaginary numbers are.
yeah, i know how its formed but how do you find a specific pattern like this?
with a LOOOOT of free time and nothing better to do xD
1wsx10 a example of a imaginary number is the square root of -1
hey uh i knew fractals were special but uhhh i didn't know this one was recursive. what's up with that?
the number of the beast...
Do you just look through fractals for fun?
Six is six.
Words to live by.
When you find a mini Julia set in the Mandelbrot set, does that mean you're near the c value for a similar Julia set?
yes
I believe you have made a slight error with those co-ordinates. The imaginary part should be positive. When it is negative, you get a mirror image version.
how many iterations? 100? 10000000? 1000000000000000000000000000000000000000000000000000000000000?
"Six is six"
No duh, zoom of a fractal we somehow made out into a sentence
Can You Do Buddhabrot Zoom?
awesome
It know about your animated 6000000 sub special
I can also see the sentence as "Six is six is." I don't understand what that is is for.
2:45 yep go cary! XD
6 has a correlation to the Mandelbrot and Julia sets mathematically, see OEIS Sequence A000740.
Somewhere in the Mandelbrot set there may be the complete works of Shakespeare!
sentence is in 2:31
Thanks
.. dude, when you resumed zooming🤦 why didn't you zoom into one of the letters in the sentence?!
It could mean that since it is infinite it never changes so if it was 6 then it would always be 6, so 6 = 6.
+Christopher Nguyen (CHRIS7161) It doesn't mean anything. It's a coincidence.
Coincidence is the root of chaos. Order is the root of correlation.
Hey! I saw many s's i's and x's in your video! Who knows, maybe there are more "six is six"'s in there!
Actually it looks like "six is six is". Or "sixisixis".
sixis sixis
"six is six" is equivalent to "I Am that I Am" (Exodus 3:14)
How are these kinds of patterns found so deep in the Mandelbrot set? At this level magnification it'd be like finding a specific atom at a specific point in the entire Universe 4 times over.
As long as you focus on a particular point and stay within the set, you will get beautiful and unique patterns.
With this it could be possible that we are living in the Mandelbrot set
@Michael Darrow well yeah probably not. But if we zoom in enough we might find an exact replica of our universe. It’s random and infinite, which means all possibilities.
@Michael Darrow it is random. Every part of it is new.
3:13 An SOS? But we're not quite lost yet.
Woah, now what kinda portal is THAT?
I did that too. (e113, sentence at e83)
how do you find these?
Looks like some form of microbe..
616 is the number of the beast. Coincidence?
+Nicholas Surguladze They both are.
666
everyone, 616 and 666 are both the number of the beast, 616 is the alternate one.
very fun :)
how did you find it?