Why is the "central limit" a normal distribution?

A visual trick to compute the sum of two normally-distributed variables. 3b1b mailing list: Help fund future projects: Special thanks to these supporters: #thanks For the technically curious who want to go deeper, here’s a proof of the central limit theorem using Moment generating functions: ~yuvalf/ And here’s a nice discussion of methods using entropy: Relevant previous videos Central limit theorem Why π is there, and the Herschel-Maxwell derivation Convolutions and adding random variables Time stamps 0:00 - Recap on where we are 2:10 - What direct calculation would look like 3:38 - The vi