How do you make a Julia set: an escape time algorithm in python

An introduction to "what are Julia sets" and escape time algorithms by answering the question, "how do you make a Julia set". After going through the mathematical definition of a Julia set, I talk through an escape time algorithm in python that can be used to generate a Julia set. The methods used in this video can be generalized to address the question of how do you make a fractal in certain cases as escape time algorithms can be used to visualize many other types of fractal structures. The video can be broken up into the following sections:

00:00 Intro
00:38 How do you generate a Julia Set?
02:42 Building an Escape Time Algorithm for Julia Sets
05:14 Example What Points Escape for f(z) = z^2+c
06:14 An Escape Time Algorithm in Python for Julia Sets

*Correction: When talking about zpq in the explanation of the escape time algorithm in python, I say something about it being a pixel, it is, instead, the complex representative of the square region represented by the pixel.
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#CHALK #FractalGeometry #JuliaSets

[elijahbuchanan]

Congratulations, you just earned a new subscriber.

[ayushdeep]

It is a nice channel, I will definitely watch all your videos

[AT-zrtv]

Thank you for this enjoyable video.
You explain the important bits very clearly.
I would have liked to see a few more visual examples of Julia sets, with varying degrees for the polynomial, the constant C, etc.

[okayultra]

Epic work, do you mind if with credit I try adapting it into p5?

[eric]

Great video, i always liked Programming the mandelbrotset the Most efficient way possible.. If only I knew C++ 😂😭