[pugworthy]

2-ball (disk) distribution is kind of interesting in gaming when simulating gun projectile hit locations.

If the circle represents the area in which a simulated projectile will hit, you probably don't want a truly random distribution of points but instead have a bias towards the middle of the circle. A real gun shot multiple times at a fixed target will probably (assuming perfect aim but some variation on every shot) have more shots hit the middle of the pattern than the edges.

Some early Valve shot code actually had a purely random distribution, but at some point an alternate version got written and shared at https://developer.valvesoftware.com/wiki/CShotManipulator

Ironically the biased version is based on a pretty simple method that in fact people sometimes get wrong when they want a truly random point distribution in a circle. Just doing a random radius and theta will lead to a biased distribution. Wolfram Mathworld has a good writeup on it at https://mathworld.wolfram.com/DiskPointPicking.html

[xanderlewis]

> truly random distribution

> purely random distribution

Nitpick: you don’t mean random; you mean uniform.

[pugworthy]

Game players live and die (virtually) by the fabled RNG and pray to RNGesus even. So though mathematically uniform is the right word, gamer-wise, random is a pretty good word to use.