>Although we’ve successfully generated uniformly distributed points on a sphere, it feels messy. Some points seem too close together, and some seem too far apar

>Although we’ve successfully generated uniformly distributed points on a sphere, it feels messy. Some points seem too close together, and some seem too far apart. This is how randomness should look. If you randomly generate (using a high-quality random engine) uniformly distributed points on a square plane or even a line, you'll see the same apparent clustering. Put another way, if you plot every point on a coordinate grid with integer coordinates, you'll have a uniform distribution, but it will hardly be "random."