This is my first time ever making anything like this and it was a lot of fun! If you have any feedback for me, I'd be happy to hear it so I can improve for my next video.

This video is also my entry into 3blue1brown's SoME competition.

I used Manim community edition to make the animations.

Sources used:
https://stackoverflow.com/questions/5837572/generate-a-random-point-within-a-circle-uniformly
https://www.hindawi.com/journals/ijmms/2017/3571419/#derivation-of-the-irwin-hall-distribution
https://programming.guide/random-point-within-circle.html


00:00 Introduction
00:23 Rejection Sampling
02:59 Coordinate Systems
04:59 Inverse Transform Sampling
10:34 Infinite Triangle Sampling
12:49 random() + random() vs random() * 2
13:59 Irwin-Hall Distribution
16:17 max(random(), random())
17:37 Conclusion

wargame