Coding Challenge 176: Buffon's Needle

How do toothpicks approximate the value of pi? I'll show you by coding a simulation in p5.js! Code: https://thecodingtrain.com/challenges/176-buffon-needle 🚀 Watch this video ad-free on Nebula https://nebula.tv/videos/codingtrain-coding-challenge-buffons-needle p5.js Web Editor Sketches: 🕹️ Buffon's Needle: https://editor.p5js.org/codingtrain/sketches/zqytzJAZN 🕹️ Line Line Intersection: https://editor.p5js.org/codingtrain/sketches/htO0scRB1 🕹️ Probability Density Function Graph: https://editor.p5js.org/codingtrain/sketches/eMaEGlfmu 🎥 Previous video: https://youtu.be/PHfKCxjsmos?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH 🎥 All videos: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH References: 🔗 Buffon's Needle: https://en.wikipedia.org/wiki/Buffon%27s_needle_problem 🔗 Analysis and Simulation: https://mste.illinois.edu/activity/buffon/ 🔗 Pickup Sticks & Pi: https://ogden.eu/pi/ Related Coding Challenges: 🚂 95 Approximating the Value of Pi: https://youtu.be/5cNnf_7e92Q 🚂 126 Toothpicks: https://youtu.be/-OL_sw2MiYw 🚂 145 Ray Casting 2D: https://youtu.be/TOEi6T2mtHo Timestamps: 0:00 Happy Pi Day 2023! 0:45 Introduce Buffon's Needle 1:40 Unpack the math 4:40 Let toothpick fall at an angle 7:08 The probability that the toothpick crosses the border 7:27 Uniform probability density function 8:12 Illustrate the probability with a graph 10:49 Approximating the value of Pi 11:11 Calculating the area under the curve 12:48 Resources for Buffon's Needle 13:28 Start Coding 13:53 Draw vertical lines 14:20 Add a toothpick 15:02 Draw background in setup 15:57 We have to use the built-in value of Pi 17:00 Find the closest column 17:22 Determine if the toothpick intersects the column 18:10 Rotate the line relative to the y-axis 18:50 Draw the toothpick as a vertical line 19:40 Improve the visuals 20:48 Approximate the value of Pi using the probability that a toothpick intersects a column 23:45 Suggestions for variations 24:08 New Passenger Showcase page on the Coding Train website 24:38 Easter egg Editing by Mathieu Blanchette Animations by Jason Heglund Pi Day Song by Will from America Music from Epidemic Sound 🚂 Website: https://thecodingtrain.com/ 👾 Share Your Creation! https://thecodingtrain.com/guides/passenger-showcase-guide 🚩 Suggest Topics: https://github.com/CodingTrain/Suggestion-Box 💡 GitHub: https://github.com/CodingTrain 💬 Discord: https://thecodingtrain.com/discord 💖 Membership: http://youtube.com/thecodingtrain/join 🛒 Store: https://standard.tv/codingtrain 🖋️ Twitter: https://twitter.com/thecodingtrain 📸 Instagram: https://www.instagram.com/the.coding.train/ 🎥 Coding Challenges: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6ZiZxtDDRCi6uhfTH4FilpH 🎥 Intro to Programming: https://www.youtube.com/playlist?list=PLRqwX-V7Uu6Zy51Q-x9tMWIv9cueOFTFA 🔗 p5.js: https://p5js.org 🔗 p5.js Web Editor: https://editor.p5js.org/ 🔗 Processing: https://processing.org 📄 Code of Conduct: https://github.com/CodingTrain/Code-of-Conduct This description was auto-generated. If you see a problem, please open an issue: https://github.com/CodingTrain/thecodingtrain.com/issues/new #piday #pi #buffonsneedle #buffon #p5js #javascript