Coding Challenge #139: Calculating Digits of Pi with Collisions
11,797Happy Pi Day! To celebrate I attempt to compute the digits of Pi using the “collisions” method, thanks to 3Blue1Brown for the idea! Code: https://thecodingtrain.com/challenges/139-calculating-digits-of-pi-with-collisions
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References:
📄 Playing Pool with Pi: https://www.maths.tcd.ie/~lebed/Galperin.%20Playing%20pool%20with%20pi.pdf
💥 Elastic Collisions: https://en.wikipedia.org/wiki/Elastic_collision
📓 Euler Method: https://en.wikipedia.org/wiki/Euler_method
🥧 Additional Pi Day Code Examples: https://github.com/CodingTrain/Pi-Day-2019
Videos:
👁️🗨️ The Block Collision Puzzle: https://youtube.com/playlist?list=PLZHQObOWTQDMalCO_AXOC5GWsuY8bOC_Y
🔢 Pi and Bouncing Balls: https://youtu.be/abv4Fz7oNr0
⭐️ Member-Exclusive Pi Day Prep: https://youtu.be/yii2P7WVfNE
🔴 Coding Train Live 172: https://youtu.be/78ZthTGcdPw?t=1398s
Related Coding Challenges:
🚂 #95 Approximating the Value of Pi: https://youtu.be/5cNnf_7e92Q
🚂 #140 Leibniz Formula for Pi: https://youtu.be/uH4trBNn540
🚂 #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!
1:51 Basic code of the structure
7:00 Simulating elastic collision between two blocks
12:03 Simulating the wall
13:59 Adding the clack!
14:29 Counting the collisions!
18:09 Adding timesteps to control approximation
24:12 Adding constraints to speed up animation
26:47 Watching collisions upto 11 digits of pi!
28:46 Other methods to simulate elastic collisions and things to try!
30:50 Fake outro (and a special Pi Day song!)
Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound
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#3blue1brown #elasticcollision #piday #eulermethod #p5js #javascript