Coding Challenge #140: Pi Approximation with Leibniz Series

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Published on March 18, 2019 12:40:31 PM ● Video Link: https://www.youtube.com/watch?v=uH4trBNn540

Duration: 13:04

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In this coding challenge, I use the Leibniz formula (aka infinite series) to approximate the digits of Pi and graph the convergence. Code: https://thecodingtrain.com/challenges/140-pi-leibniz

🕹️ p5.js Web Editor Sketch: https://editor.p5js.org/codingtrain/sketches/8nvCqk0-W

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References:
📓 Leibniz formula for Pi: https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80

Videos:
📽️ Pi and the Mandelbrot Set: https://youtu.be/d0vY0CKYhPY
🔴 Coding Train Live 172: https://youtu.be/78ZthTGcdPw?t=5795s

Related Coding Challenges:
🚂 #21 Mandelbrot Set with p5.js: https://youtu.be/6z7GQewK-Ks
🚂 #156 Peeking Inside Pi: https://youtu.be/MEdpRYyjz_0
🚂 #161 Estimating π from Random Numbers with Euclid's Algorithm: https://youtu.be/EvS_a921dBo
🚂 #169 Pi in the Sky Game: https://youtu.be/_H9JIwWP7HQ

Timestamps:
0:00 Introduction
1:22 The Leibniz method for approximating pi!
1:57 Let's start coding!
4:59 Visualizing the convergence
8:45 Drawing a line where pi originally exists
9:43 Debugging!
10:49 Refactoring the code a bit
11:43 Try other series!

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

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#leibnizformula #piapproximation #p5js #javascript