The Julia Sets: How it Works, and Why it's Amazing!

A concise description of how the Julia sets are generated, and their similarities to the famous fractal, the Mandelbrot set.

[Deus_]

The Mandelbrot set looks so nice but imagine having a bad fever and then having a hallucination or nightmare about falling into this.

[droneliveUK]

"A concise description of how the Julia sets are generated, and their similarities to the famous fractal, the Mandelbrot set."
The madebrot set is a collection of all julia sets, in one set, every julia set is present in the madebrot set, its maths combines all other sets to create it. So its has no similarities to the madebrot set , but exact replicas of it as its contained within it.

[amaral]

Gaston Julia appears to be the true founder of the fractal dimension. Mandelbrot used advanced computing to reinterpret Julia's discovery.

[KnakuanaRka]

Incidentally, how did you completely fail to mention the big connection that the Mandelbrot Set is also defined as where the Julia set of c is connected?

[cuervojones]

Trippy! Thank you for not getting hung up on the math. You explained it in such a way that I didn't have time to panic and instantly tune out. Bravo!

[RealLifeKyurem]

What program do you use to generated the Julia sets and the Mandelbrot sets?

[lugit]

Thank you so much, I had to do a presentation on Gaston Julia, and the way other sources explained julia sets didn't make sense to me.

[katet.]

Wow. I don’t understand a word of this or the mandlebrot video but you have the best visuals - pretty colors and other people’s are so slow. And I love the end where you back out of it to the start! Enjoyed it thx

[imanbio]

1:29 "A rather simple repeating pattern"
Understatement of the year
Nice video though

[Eltaurus]

It is funny how this is popping up in recommendations along with some Mortal Kombat videos, because you said "Sub-Zero" at 1:02

[stenoch]

Who are you and would you be open to the possibility of an email conversation?

[joshuawagner]

This is the most beautiful thing I have ever seen.

[peawormsworth]

Error at 0:25


Z2 = (-1.5+.5i)^2 + (-1.5+.5i)
= 0.5 - i


But the video shows the answer to be 2 - 1.5i which is the square without the constant... (-1.5+.5i)^2.

[larho]

Can there be a program that shows you the Julia Set corresponding to the Mandelbrot Set in the way shown at 2:16?

[numatiknumatik]

Epic!! Thanks for breaking this down, my friend!

[jules]

I came to this video by my nerdy self looking on the App Store for science apps. This app had a description and said something about Julia sets, and as my name is Julia, of course I’m interested! So I looked it up online and clicked on this video. Crazy

[R-D-sqpm]

Can you talk about the burning ship fractal, i went to a fractal generator website and found it and i have no idea what it is or what the formula is but it looks cool

[lotteborkowski]

I think you made a mistake calculating Z2 at 0:27 min. (Z1)^2=2.25-1.5i-0.25=2-1.5i, so Z2 should be Z2=2-1.5i+(-1.5+0.5i)=0.5-i.

[Siddhartha]

Since he pronounces C and Z the same, some parts of this becomes incomprehensible unless you already kind of know what he's getting at.

[mfcc]

Mandelbrot set vs Julia set, which one do you prefer?