Darts in higher dimensions
While browsing YouTube, I came across the following video in which a little puzzle is presented that is solved mathematically. Using maths, an answer was presented that I validated by implementing a simulation. 

I thought this was a fun little challenge to program. Maybe others want to give it a go as well?   
How would you have approached this?   


Video: [https://www.youtube.com/watch?v=6\_yU9eJ0NxA](https://www.youtube.com/watch?v=6_yU9eJ0NxA)  
My code: [https://gitlab.com/JeroenStiers/scripts/-/blob/main/darts\_in\_higher\_dimensions.py](https://gitlab.com/JeroenStiers/scripts/-/blob/main/darts_in_higher_dimensions.py)