Haven't been in a great headspace lately, sorry this took so long! If you enjoyed it, let me know and please consider subscribing :D EDIT: I got a couple comments asking why I'm not entering it into SoME2, and my reasons are I don't feel like this is the best video I could've made in the 2-3 month period it was out, and I personally feel like it would be disingenuous and against the values of the contest for me to enter a sponsored video. And lastly, the contest is about publicizing lesser known creators, and I wouldn't want to take the spotlight from someone who could benefit a lot more from it than me.
Kek every time some UA-camr gets some following, they start talking about how they're not in a great headspace, how they are not depressed, and etc. Your need for attention and validation is what separates you from actually successful UA-camrs like 3b1b
lets be honest its not even unexpected at this point, i could find my social security and credit card numbers in the mandelbrot set and it would just be like "huh"
Definitely reminds me of 3blue1brown’s videos on block collisions counting digits of pi. This seems a little different cause the digits aren’t exact, and while tan(x) appears, the answer isn’t based on tan x being approximately x for small x like the block collision solution is. Still I wonder if there is a connection.
That was honestly my first thought too when I saw the bouncing line visual - it vaguely reminded me of the light explanation in his video. I also wonder if there's a connection!
The y=x becoming a tangent/secant line and limiting the process at the touch/intersection point was a nice geometrical reveal to me. So, I guess, for the full complex plane, we should consider a w=z hyperplane in a 4-dimentional complex space C² (with coordinates w and z analogous to y and x in R²), which limits the process when it becomes a tangent/secant to the hyperparabola w = z²+c, and boundaries of the Mandelbrot set are just values of the "offset" parameter "c" when it shifts the parabola so that w=z plane becomes exactly a tangential plane, right?
I don't know about opengl, but I've been playing around with opencl and I seem to be able to get a 1440p frame of an image orbit trap to render fast enough for around 24fps real time on a 6700xt gpu. I only have a basic pyqt script that renders that onto a qt label right now, but its nice to be able to play with image trap boundaries and see an image get warped around the mandelbrot set :) I wanted to also use gl (but not by itself) but it seems cl gl interop requires them to be compiled together :( edit: now that I'm thinking about this again, it was pyopencl that needed to be built with interoperability, my actual ocl install did have khr_gl_sharing
can you explain why at 9:46 the distance between the two poles is pi/sqrt(epsilon), i found it as 2pi/sqrt(epsilon) because the asymptotes occur at pi radians, so nsqrt(epsilon) = pi, which implies n = pi/sqrt(epsilon). Then the distance between two poles is 2n, as the asymptotes are at n and -n? am i missing something?
@@Snowflake_tv my main reasons for not entering are I don't think this is the best video I could've made over the summer, and I wouldn't wanna enter for the sake of entering, and I also feel like its disingenuous and against the values of the contest to enter with a sponsored video
I don't 100% accept the graph that a computer shows to me. A computer has a different output from the real result when it comes to computing numbers except binary that can't have finite lengths' of digits, such as 1/3, 1/5, 1/7. Floating point value or double value have error, as far as I know. We can't even imagine or watch what the set really looks like.
the actual constrains are, first, the resolution of the screen, and then the precision of the human eye floating point number are, compared to that, almost perfectly precise
I'm trying to make a post or a humble video about the relationship btw Mandelbrot's Set and a system of Bohmian's physics or pilot wave. But ah... 15th Aug is coming... I just have an idea... but my skill about visualizing or dealing with a computer, even mathematical skill like transformation of Cartisian complex is too humble to let users on UA-cam watch mine. And it's not even a math, but including physics, even unproven idea... I'm so shy...
So you are saying that anytime we have seen a Mandelbrot that it is digital and therefore dithered or pixelated somehow. We must make an analog Mandelbrot set!
Haven't been in a great headspace lately, sorry this took so long! If you enjoyed it, let me know and please consider subscribing :D
EDIT: I got a couple comments asking why I'm not entering it into SoME2, and my reasons are I don't feel like this is the best video I could've made in the 2-3 month period it was out, and I personally feel like it would be disingenuous and against the values of the contest for me to enter a sponsored video. And lastly, the contest is about publicizing lesser known creators, and I wouldn't want to take the spotlight from someone who could benefit a lot more from it than me.
take your time, you matter first. great video!
Did not enjoy it. A math buff choses his sponsors wisely. You, Sir, ruined it at the ending.
@@demezon6572 you sir, ruined the whole vibes. Don't watch if you don't like.
Kek every time some UA-camr gets some following, they start talking about how they're not in a great headspace, how they are not depressed, and etc. Your need for attention and validation is what separates you from actually successful UA-camrs like 3b1b
@@m4sterbr0s bro.. You're criminally underrated.
lets be honest its not even unexpected at this point, i could find my social security and credit card numbers in the mandelbrot set and it would just be like "huh"
I'm surprised no one has asked you to post them so we can verify ;)
This also has dark implications, anything that can be encoded with information can show up in irrational numbers, even the worst shit you can imagine
@@chonchjohnch Stego, e.g., hadn't occurred to me, and suddenly I'm going "huh". Interesting comment.
@@chonchjohnch π’s darkest secret
@@Your_choise does that mean having a circle could constitute CP?
beautiful video vivek! the connection to pi was indeed mind-blowing :)
aleph, will you consider making a series teaching people complex differential geometry and complex algebraic geometry?
Definitely reminds me of 3blue1brown’s videos on block collisions counting digits of pi. This seems a little different cause the digits aren’t exact, and while tan(x) appears, the answer isn’t based on tan x being approximately x for small x like the block collision solution is.
Still I wonder if there is a connection.
That was honestly my first thought too when I saw the bouncing line visual - it vaguely reminded me of the light explanation in his video. I also wonder if there's a connection!
Same thing that come to my mind, goes to show how math is interconnected
I just wanted to say that the quality of your videos has greatly improved since I last saw your channel. This is a great step up.
Thank you!!
The y=x becoming a tangent/secant line and limiting the process at the touch/intersection point was a nice geometrical reveal to me. So, I guess, for the full complex plane, we should consider a w=z hyperplane in a 4-dimentional complex space C² (with coordinates w and z analogous to y and x in R²), which limits the process when it becomes a tangent/secant to the hyperparabola w = z²+c, and boundaries of the Mandelbrot set are just values of the "offset" parameter "c" when it shifts the parabola so that w=z plane becomes exactly a tangential plane, right?
I really appreciate that you put the source code of the animations.
You really helped me so much learn manim, thanks ❤️
GOOD WORK! love to see the video learned a lot!!!
Amazing
It's nice to find inspirations that go a bit deeper than the math thought in school. I liked the way the ode appeared out of the blue.
Route 113 music was an exquisite choice sir
Glad someone noticed :D
@@vcubingx never change
that's insanely cool
I couldn’t of guessed it had to do with the poles of tan that’s so cool
This was fantastic :)
Exactly this is what makes math beautiful
id be curious to learn how a circle plays into that appearance of pi
π is everywhere.
Agree
Lovely explanation! Thank you.
Fantastic, love to see your videos. I request you to please make one video also on fixed point techniques.
how the escape number of iteration N comes to the tangent.function? I just wonder.that when n approach N, the diffrential function is not smooth!
I don't know about opengl, but I've been playing around with opencl and I seem to be able to get a 1440p frame of an image orbit trap to render fast enough for around 24fps real time on a 6700xt gpu. I only have a basic pyqt script that renders that onto a qt label right now, but its nice to be able to play with image trap boundaries and see an image get warped around the mandelbrot set :) I wanted to also use gl (but not by itself) but it seems cl gl interop requires them to be compiled together :(
edit: now that I'm thinking about this again, it was pyopencl that needed to be built with interoperability, my actual ocl install did have khr_gl_sharing
your videos are extermly important. could you tel me how you add such beutiful animations you created
Hello! Just asking a doubt based on the installation of Manim : Can we also do it with the Anaconda Distribution of Python? Thanks!
Cool. Thanks for sharing
bro the mandelbrot set kinda packing ngl. u know their number?
congratulations
can you explain why at 9:46 the distance between the two poles is pi/sqrt(epsilon), i found it as 2pi/sqrt(epsilon) because the asymptotes occur at pi radians, so nsqrt(epsilon) = pi, which implies n = pi/sqrt(epsilon). Then the distance between two poles is 2n, as the asymptotes are at n and -n? am i missing something?
The poles occur at pi/2sqrt(epsilon)
Is it apple or pecan pi?
Blueberry
It is an almond flour bread pi
You are joining 3B1B's Math 2nd contest based on this video, right?
No, I don't plan on
@@vcubingx Huh... I'm sad. Because this one is awesome, and I hope that more lots of people will watch this.
@@Snowflake_tv my main reasons for not entering are I don't think this is the best video I could've made over the summer, and I wouldn't wanna enter for the sake of entering, and I also feel like its disingenuous and against the values of the contest to enter with a sponsored video
Why isn't this tagged with#some2?
Bruh π is god as it is everywhere
mind blowing
me watching this even though i have no idea what is happening
😎 Smiling Face with Sunglasses Emoji
Oh no... I don't know exactly about Epsilon.
💜💜💜
Woah so cool :))
let’s goooo
Great stuff. Please skip the music though.
No Google Groups in 1991. Google was founded in 1998.
Yeah you’re right but I believe google groups was an acquisition (or something of the sort!) of another forum board so the old posts carried over
It may be useless, but it is beautiful, that's what I love in math
first!
Interesting topic. The music sucks.
I guess that's a matter of taste, I really liked it
I don't 100% accept the graph that a computer shows to me.
A computer has a different output from the real result when it comes to computing numbers except binary that can't have finite lengths' of digits, such as 1/3, 1/5, 1/7.
Floating point value or double value have error, as far as I know.
We can't even imagine or watch what the set really looks like.
The real computer for Mandelbrot's Set is a system that has a pilot wave which is described by Bohm, I think.
the actual constrains are, first, the resolution of the screen, and then the precision of the human eye
floating point number are, compared to that, almost perfectly precise
@@serbestianmilo1477 Ah ha. Thanks for your help.
I'm trying to make a post or a humble video about the relationship btw Mandelbrot's Set and a system of Bohmian's physics or pilot wave.
But ah... 15th Aug is coming... I just have an idea... but my skill about visualizing or dealing with a computer, even mathematical skill like transformation of Cartisian complex is too humble to let users on UA-cam watch mine.
And it's not even a math, but including physics, even unproven idea...
I'm so shy...
So you are saying that anytime we have seen a Mandelbrot that it is digital and therefore dithered or pixelated somehow.
We must make an analog Mandelbrot set!