Coding Challenge #21: Mandelbrot Set with p5.js

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Published on June 13, 2016 2:35:40 PM ● Video Link: https://www.youtube.com/watch?v=6z7GQewK-Ks

Duration: 25:28

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In this coding challenge, I program from scratch the Mandelbrot set with p5.js Code: https://thecodingtrain.com/challenges/21-mandelbrot-set-with-p5js

🕹️ p5.js Web Editor Sketch: https://editor.p5js.org/codingtrain/sketches/KsV1wWLqd

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References:
🗄 Wikipedia on Mandelbrot Set: https://en.wikipedia.org/wiki/Mandelbrot_set
💾 Mandelbrot Set Explorer: https://meiamso.me/old/mandelbrot/mandelbrot.php

Related Coding Challenges:
🚂 #22 Julia Set in Processing: https://youtu.be/fAsaSkmbF5s
🚂 #140 Leibniz Formula for Pi: https://youtu.be/uH4trBNn540
🚂 #168 The Mandelbulb: https://youtu.be/NJCiUVGiNyA

Timestamps:
0:00 Introducing today's coding challenge: the Mandelbrot set
1:22 What is a complex number?
6:06 Multiplying two complex numbers
7:51 The Mandelbrot set is all of the complex numbers that stay bounded
8:40 The initial sketch sets every pixel to gray
12:00 Calculate the real and complex components for the next generation
13:03 What does it mean to be bounded?
14:58 Set the brightness based on number of iterations
16:46 Store the original values of a and b
20:05 Set the brightness by maping to maxIterations
21:50 Add sliders to add ability to zoom in on the Mandelbrot set
24:58 Conclusion and suggestions for variations

Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound

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🔗 p5.js: https://p5js.org
🔗 p5.js Web Editor: https://editor.p5js.org/
🔗 Processing: https://processing.org

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#mandelbrot #fractal #complexnumber #imaginarynumber #p5js #javascript