It could if you had a microscope. But I would try to make the printer just print straight lines of the same length and make that length be smaller each time and if every line was exactly the same length with no errors I would judge it precise. I think that's more simple, but I don't have one so I can't test it. One thing is for sure, having a mandebulb on your desk would look amazing
Reading the 'True 3D mandelbrot type fractal' thread on fractal forums is reading the moments of the actual discovery of a new art form. wonderful stuff.
I know it has infinite surface area, and is infinitely complex. If we got as precise as putting protons in specific places, I think we can conclude that it is a good 3D printer.
How does one do Mandelbrot in 3D? Mandelbrot itself is in 2D (real and imaginary), and each point in it corresponds to a different Julia set, also in 2D. So together they would make 4D, not 3. So what is a Mandelbulb, and how does it relate to Mandelbrot?
I have a program that draws Julia and Mandelbrot sets and I plan to make it able to do Mandelbulb too so I did some research. I still don't know for sure how it works but apparently Mbrot and Julia both have a real and an imaginary axis so you could technically set the imaginary axis of Julia as the third Z axis of the third dimension and use many (or infinite) Julia sets as slices to make the Mandelbulb. I don't know much more so I can't tell you how the computer algorithm works yet.
You're sorta on the right track. This "mandelbulb" as they call it is in fact one "interpretation" of Mandelbrot set in 3D. That is, mandelbulbs are not canonical; there is not "one" mandelbulb. 4D is possible, but the 3D representation is ambiguous so the mandelbulb is defined as the set of C in R3 space, bounded by through the iteration V -> V^n + c where V^n is something I'm not going to get Into cause it's a big equation not on my keyboard. The gist though is there's not a single "mandelbulb". n = 3 looks different from n = 2 mandelbulbs.
I have a phobia about watching MandleBULBs zoom in on me and threaten to emerge from the screen and gulp me ! Oddly, until just a minute ago, a mandlebrot did not trigger said phobia, but that rapid zoom down into it, caused shock at the start. I was NOT warned !
It is neither 2D nor 3D The Mandelbrot Set(s. There are more than just one Mandelbrot Set) can be contained in a finite 2D plane but is not a 2D object. Fractal stands for fractionary dimensional. And object whose dimensions are not whole numbers but rational numbers. There are 1.5 dimensional objects, 3.734719409 dimensional objects And so on. Mandelbrot is an NDimensional object. The value of N (the number of dimensions of the mandelbrot set) is unkown but It is certainly not 2 nor any number you or I could think of. It's probably irrational like Pi And simmilar to that, the mandelbulb can be contained in a finite 3D space, but the Mandelbub is definitely Not 3D. Also idk what does this have to do with conciousness or things Like that It has a cardoid in it and it is mathematical So I can see there is a relation between reality and Mandebrot's Sets cause reality is mathematical but I can't believe someone would look at the mandebulb and say "Hmm it looks like conciousness." i mean what? There isnt even a definitive definition for conciousness We don't even know what it is and how it works Maybe we all have cardoids in our brains
@Og3990 - there's no such thing as NONexistence...existence in this experience is a given. The structure represents (or is a metaphor for) ALL of existence.
You can approach the infinite but you'll never get there; and beside at infinity all the points will merge into some kind of surface that's not fractal. EXAMPLE Polygon; as the number face increases, the length each face approaches zero; thus at infinity, there're no flat faces despite the intuition there should be infinite, at infinity the faces are dead; all that's left is the circle, a continuous stream of points equidistant to the circle centre, there are no flat faces on a circle.
@ophello - Once again the original Groove Armada song I used was flagged by RUclips, and I already have 2 strikes against my account, so therefore I had to change the god damn tune. Understand or do I need to type in ALL CAPS? ---original music info: The first 20 seconds is 'Magic' from the Ghostbusters soundtrack - the main song is 'History' by Groove Armada. Here's an idea: mute this and play that instead and stop wasting my time with shitty music complaints.
Great vid and I love the text at the start, Mandelbrot meets Zen. I'd like to think that when science cottons on to the reality of enlightenment then the 'mysticism' bag can be thrown out and the underlying process behind whats happening will be taught in schools like any other subject.
it could very well replicate a mandlebulb, but their would be a point in which the printer would just be to large to print the smallest details that are perhaps the size of protons, you see it goes on forever..
Yes! You may be the first person that i've come across who's said what i've said verbatim; "there's no such thing as nonexistence". There is no alternative but eternal existence. It's so obvious when you realized this but utterly confounding to most people. It's not even a theory that might be true, it's a self evident unequivocal truth requiring zero faith!
So there are Julia images around the Mandelbrot set, and within these Julia's are more Mandelbrot shapes…in those mini-Mandelbrots (Benoit sounds narcißistic, doesn't he!) are there points relating to more contiguous Julia sets?
+segura2112 He certainly didn't have to name it after himself. He could have named it after Koch, who preceded him with the discovery of the Koch snowflake.
Uh Oh...someone cracked the ''make it'' code....all the shapes, forms and actions laid out in 3D mathematics....good goin'..!! now let's get busy making our Own Universes...
2-dimensional representation of infinity? can you cite for that? I know that the mandelbrot set is very important, but exactly what do you mean by that?
sina chiniforoush Look at any Mandelbrot deep zoom. Any single point within the set goes on forever. It’s infinitely captured in a finite space with circles that have a radius of no more than two.
@@carmennegron958 is it so clear? I wrote a longer comment on this topic some time ago, and after that I did some research to clarify some questions I had. Fractal means an object which's number of dimensions is a rational number (aka a fraction, like 3/2=1'5). Mandelbrot is about 1'5849 dimensional or logarithm base two of three. As I said in that longer comment, Mandelbrot Set can be contained within a finite 2D plane but it is not 2-D but 1'5849-Dimensional, aka a fractal dimension. This is the same for the Mandelnulb. And now that I remember, no, Mandelbrot is not 2-D, its number of dimensions is unknown. Sierpinski's triangle is about 1'59-D. You could try to aproximate the value of the number of dimensions of Mandelbrot Set with a computer program but there is still no exact way of knowing the value (as in the value of the number of dimensions of the Sierpinski Triangle being exactly log2 of 3, or log3/log2) I suggest you calm down. This is just some healthy critique/review. I want science to be taught precisely, not telling people fractals are objects with self similarity at different scales which is not generally the case (as in the coastline of Britain for example). Also I suggest you study some more, and please calm down.
youtube compression wrecks the whole effect of the deep zoom.
Maybe the Mandlebulb could be a test of the precision of a 3D printer?
It could if you had a microscope. But I would try to make the printer just print straight lines of the same length and make that length be smaller each time and if every line was exactly the same length with no errors I would judge it precise. I think that's more simple, but I don't have one so I can't test it. One thing is for sure, having a mandebulb on your desk would look amazing
Reading the 'True 3D mandelbrot type fractal' thread on fractal forums is reading the moments of the actual discovery of a new art form. wonderful stuff.
I know it has infinite surface area, and is infinitely complex. If we got as precise as putting protons in specific places, I think we can conclude that it is a good 3D printer.
How do you make those protons stick without using some glue that will decrease precision?
This is amazing. For it to go on forever and get more and more complex..
A very organic looking structure
How does one do Mandelbrot in 3D? Mandelbrot itself is in 2D (real and imaginary), and each point in it corresponds to a different Julia set, also in 2D. So together they would make 4D, not 3. So what is a Mandelbulb, and how does it relate to Mandelbrot?
I have a program that draws Julia and Mandelbrot sets and I plan to make it able to do Mandelbulb too so I did some research. I still don't know for sure how it works but apparently Mbrot and Julia both have a real and an imaginary axis so you could technically set the imaginary axis of Julia as the third Z axis of the third dimension and use many (or infinite) Julia sets as slices to make the Mandelbulb.
I don't know much more so I can't tell you how the computer algorithm works yet.
You're sorta on the right track. This "mandelbulb" as they call it is in fact one "interpretation" of Mandelbrot set in 3D. That is, mandelbulbs are not canonical; there is not "one" mandelbulb. 4D is possible, but the 3D representation is ambiguous so the mandelbulb is defined as the set of C in R3 space, bounded by through the iteration V -> V^n + c where V^n is something I'm not going to get Into cause it's a big equation not on my keyboard. The gist though is there's not a single "mandelbulb". n = 3 looks different from n = 2 mandelbulbs.
The first 20 seconds is 'Magic' from the Ghostbusters soundtrack - the main song is 'History' by Groove Armada.
I have a phobia about watching MandleBULBs zoom in on me and threaten to emerge from the screen and gulp me ! Oddly, until just a minute ago, a mandlebrot did not trigger said phobia, but that rapid zoom down into it, caused shock at the start. I was NOT warned !
I think this is the best intro to Mandelbrot & Mandelbulb I've seen so far!
I admit I did mute the music, as Evasius advised...
It is neither 2D nor 3D
The Mandelbrot Set(s. There are more than just one Mandelbrot Set) can be contained in a finite 2D plane but is not a 2D object. Fractal stands for fractionary dimensional. And object whose dimensions are not whole numbers but rational numbers.
There are 1.5 dimensional objects, 3.734719409 dimensional objects And so on. Mandelbrot is an NDimensional object. The value of N (the number of dimensions of the mandelbrot set) is unkown but It is certainly not 2 nor any number you or I could think of. It's probably irrational like Pi
And simmilar to that, the mandelbulb can be contained in a finite 3D space, but the Mandelbub is definitely Not 3D.
Also idk what does this have to do with conciousness or things Like that
It has a cardoid in it and it is mathematical So I can see there is a relation between reality and Mandebrot's Sets cause reality is mathematical but I can't believe someone would look at the mandebulb and say "Hmm it looks like conciousness." i mean what?
There isnt even a definitive definition for conciousness We don't even know what it is and how it works
Maybe we all have cardoids in our brains
@Og3990 - there's no such thing as NONexistence...existence in this experience is a given. The structure represents (or is a metaphor for) ALL of existence.
"Structure" = Intelligent Design, the 'backbone' of existence.
Also...Paul Nylander (Bugman) was the first to realise Davids wonderful work could use power eight, which gives the classic mandelbulb.
You can approach the infinite but you'll never get there; and beside at infinity all the points will merge into some kind of surface that's not fractal.
EXAMPLE
Polygon; as the number face increases, the length each face approaches zero; thus at infinity, there're no flat faces despite the intuition there should be infinite, at infinity the faces are dead; all that's left is the circle, a continuous stream of points equidistant to the circle centre, there are no flat faces on a circle.
@ophello - Once again the original Groove Armada song I used was flagged by RUclips, and I already have 2 strikes against my account, so therefore I had to change the god damn tune. Understand or do I need to type in ALL CAPS? ---original music info: The first 20 seconds is 'Magic' from the Ghostbusters soundtrack - the main song is 'History' by Groove Armada. Here's an idea: mute this and play that instead and stop wasting my time with shitty music complaints.
Amazing stuff
How do you deal with the floating point imprecision with the first long zooming part?
What version of History' by Groove Armada? Can't find it on iTunes
organic,it looks like it should already exist.amazing.
Turn the music off and put Lapalux - There are monsters in this bed on and you've got a winning combination!
Right. Existence makes no sense. I agree.
Great vid and I love the text at the start, Mandelbrot meets Zen. I'd like to think that when science cottons on to the reality of enlightenment then the 'mysticism' bag can be thrown out and the underlying process behind whats happening will be taught in schools like any other subject.
I think most of the issue is just translation of terminology
That kind of science would be exactly what mysticism is about. Not the other way around.
it could very well replicate a mandlebulb, but their would be a point in which the printer would just be to large to print the smallest details that are perhaps the size of protons, you see it goes on forever..
Fantastic
I wish I could live there
beuatiful work. amazing, the beautul organic lookin form that chaos maths can create.
Hmmm...Fractals in 3D...
Mandelbrot set is the most popular. Are there other fractals in 3D?
incredible
Yes! You may be the first person that i've come across who's said what i've said verbatim; "there's no such thing as nonexistence". There is no alternative but eternal existence. It's so obvious when you realized this but utterly confounding to most people. It's not even a theory that might be true, it's a self evident unequivocal truth requiring zero faith!
so beautiful
The only thing I don't like about the mandelbulb is that it appears static. The set is anything but static!
It's more than that it's life !
AWESOME Vibes, GREAT images,....very interestin' vid,...thumbs up to ya Evasius and thankin' my pal pure2warrior for the GRAND share! =)
So there are Julia images around the Mandelbrot set, and within these Julia's are more Mandelbrot shapes…in those mini-Mandelbrots (Benoit sounds narcißistic, doesn't he!) are there points relating to more contiguous Julia sets?
Rohan Zener That's the nature of fractals and it would be hard for him not sound a that way since the set was named after him.
+segura2112 He certainly didn't have to name it after himself. He could have named it after Koch, who preceded him with the discovery of the Koch snowflake.
Good point/
This is awesome, I'm just getting into Mandlebulb. I'm gonna post a link to this on my art page. Great job :)
Is this the alien from annihilation?
very very cool
3:24 kind of looks like a Romanesco Broccoli.
@HungryTacoBoy I am freaked out about touching a fractal too but they are still cool
I actually kind of like the current song. Now I know I've heard it before but I forget the name or who plays it? Thanks, if your time allows it.
Uh Oh...someone cracked the ''make it'' code....all the shapes, forms and actions laid out in 3D mathematics....good goin'..!! now let's get busy making our Own Universes...
I heard the music, and then I knew this vid was from 2010!
Anybody else think this 1:45 could be the shape of our universe if you were able to view it from outside?
The music is going on after the video? O_O
2-dimensional representation of infinity? can you cite for that? I know that the mandelbrot set is very important, but exactly what do you mean by that?
sina chiniforoush Look at any Mandelbrot deep zoom. Any single point within the set goes on forever. It’s infinitely captured in a finite space with circles that have a radius of no more than two.
Some how unsettling
the universe on the turtle's back..
Beau travail et chapeau! Merci!
found it: 009 Sound System "Trinity"
at 1:50 i see you found your self a quaternion
Thank you my sun
my pc would explode if it had to calculate this.
my mind would probably explode if i tried to calculate this...
awesome !
what happened to the "Trinity" song? the video isn't as cool anymore without that song.
the only thing that makes less sense than non-existence is existence
WAT IS THE SONG
WATWAT
well not exactly equivalent.
Next stop: 4d mandelbrot
Wonderful pictures ! In 1:52 looks like a hornet's nest :)
Sad music
fucking ncie song
its true..
Mandelbulb is awesome! But Chopin is pure genius!
Anyone else freaked out about touching a fractal or am I alone of this front?
dont call a person an ignorant if you couldnt understand what he said.
Mandelbrot set is not 2Dimensional. You know what fractal means? XD
Umm i do you dont. Clearly mandelbrot set is 2d mandelbulb is 3d
@@carmennegron958 is it so clear?
I wrote a longer comment on this topic some time ago, and after that I did some research to clarify some questions I had.
Fractal means an object which's number of dimensions is a rational number (aka a fraction, like 3/2=1'5).
Mandelbrot is about 1'5849 dimensional or logarithm base two of three. As I said in that longer comment, Mandelbrot Set can be contained within a finite 2D plane but it is not 2-D but 1'5849-Dimensional, aka a fractal dimension.
This is the same for the Mandelnulb.
And now that I remember, no, Mandelbrot is not 2-D, its number of dimensions is unknown. Sierpinski's triangle is about 1'59-D.
You could try to aproximate the value of the number of dimensions of Mandelbrot Set with a computer program but there is still no exact way of knowing the value (as in the value of the number of dimensions of the Sierpinski Triangle being exactly log2 of 3, or log3/log2)
I suggest you calm down. This is just some healthy critique/review. I want science to be taught precisely, not telling people fractals are objects with self similarity at different scales which is not generally the case (as in the coastline of Britain for example).
Also I suggest you study some more, and please calm down.
Oh yeah i forgot about fractal dimension also i wasnt trying to be rude
@@carmennegron958 I know you weren't. I didn't say rude, I said maybe nervous
Anyways let's keep learning and improve in life!
A little too fast...
i know what he said. But he is saying that he cannot accept something that is a fact, something that he knows that is real, so he is a coward.
Or it WAS.
then you are saying that you are a coward
Those 3D sculptures were gross! Ew