This has been one of Simon’s most ambitious (successful) projects so far and a beautiful grand finale of 2019, also marking his channel reaching 1K subscribers. The project – approximating Euler’s number (e) in a very weird way – is based upon a Putnam exam puzzle that Simon managed to prove:
The main part of the project was inspired by 3Blue1Brown Grant Sanderson’s guest appearance on Numberphile called Darts in Higher Dimensions, showing how one’s probable score would end up being e to the power of pi/4. Simon automated the game and used the visualization to approximate e. Below is the main video Approximating pi and e with Randomness. You can run the project online at: https://editor.p5js.org/simontiger/present/fNl0aoDtW
Code: https://editor.p5js.org/simontiger/sketches/fNl0aoDtW
The history and the math behind the project:
Simon’s proof od the math behind the project:
Simon has visualized this problem and proof at: https://editor.p5js.org/simontiger/present/2uMPZ8THW
Geeks out of the box 