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.

@m4sterbr0s

2 жыл бұрын

take your time, you matter first. great video!

@demezon6572

2 жыл бұрын

Did not enjoy it. A math buff choses his sponsors wisely. You, Sir, ruined it at the ending.

@arnavvirmani8688

2 жыл бұрын

@@demezon6572 you sir, ruined the whole vibes. Don't watch if you don't like.

@omarwulfgang4975

2 жыл бұрын

Kek every time some KZreadr 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 KZreadrs like 3b1b

@asifalamgir5135

Жыл бұрын

@@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"

@trollme.trollmehard.9524

2 жыл бұрын

I'm surprised no one has asked you to post them so we can verify ;)

@chonchjohnch

2 жыл бұрын

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

@trollme.trollmehard.9524

2 жыл бұрын

@@chonchjohnch Stego, e.g., hadn't occurred to me, and suddenly I'm going "huh". Interesting comment.

@Your_choise

2 жыл бұрын

@@chonchjohnch π’s darkest secret

@chonchjohnch

2 жыл бұрын

@@Your_choise does that mean having a circle could constitute CP?

beautiful video vivek! the connection to pi was indeed mind-blowing :)

@mastershooter64

2 жыл бұрын

aleph, will you consider making a series teaching people complex differential geometry and complex algebraic geometry?

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?

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.

@vcubingx

2 жыл бұрын

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!

@acuriousmind6217

Жыл бұрын

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.

@vcubingx

Жыл бұрын

Thank you!!

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!!!

@vcubingx

2 жыл бұрын

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.

that's insanely cool

Route 113 music was an exquisite choice sir

@vcubingx

2 жыл бұрын

Glad someone noticed :D

@TheHenrykH

2 жыл бұрын

@@vcubingx never change

Fantastic, love to see your videos. I request you to please make one video also on fixed point techniques.

Exactly this is what makes math beautiful

I couldn’t of guessed it had to do with the poles of tan that’s so cool

Lovely explanation! Thank you.

π is everywhere.

@ouvie

2 жыл бұрын

Agree

id be curious to learn how a circle plays into that appearance of pi

This was fantastic :)

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!

your videos are extermly important. could you tel me how you add such beutiful animations you created

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

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

congratulations

😎 Smiling Face with Sunglasses Emoji

bro the mandelbrot set kinda packing ngl. u know their number?

mind blowing

Bruh π is god as it is everywhere

Is it apple or pecan pi?

@vcubingx

2 жыл бұрын

Blueberry

@onebronx

2 жыл бұрын

It is an almond flour bread pi

Oh no... I don't know exactly about Epsilon.

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?

@vcubingx

2 жыл бұрын

The poles occur at pi/2sqrt(epsilon)

You are joining 3B1B's Math 2nd contest based on this video, right?

@vcubingx

2 жыл бұрын

No, I don't plan on

@Snowflake_tv

2 жыл бұрын

@@vcubingx Huh... I'm sad. Because this one is awesome, and I hope that more lots of people will watch this.

@vcubingx

2 жыл бұрын

@@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

💜💜💜

No Google Groups in 1991. Google was founded in 1998.

@vcubingx

7 ай бұрын

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

Why isn't this tagged with#some2?

me watching this even though i have no idea what is happening

Woah so cool :))

It may be useless, but it is beautiful, that's what I love in math

let’s goooo

Great stuff. Please skip the music though.

first!

Interesting topic. The music sucks.

@rserserserse

2 жыл бұрын

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.

@Snowflake_tv

2 жыл бұрын

The real computer for Mandelbrot's Set is a system that has a pilot wave which is described by Bohm, I think.

@serbestianmilo1477

2 жыл бұрын

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

@Snowflake_tv

2 жыл бұрын

@@serbestianmilo1477 Ah ha. Thanks for your help.

@Snowflake_tv

2 жыл бұрын

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 KZread watch mine. And it's not even a math, but including physics, even unproven idea... I'm so shy...

@comic4relief

2 жыл бұрын

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!