Coding Challenge 176: Buffon's Needle

From the creator

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

Published 2023-03-14 · Watch on YouTube ↗
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