I use procedural generation in my hobby game project and part of that involves creating noise. To help choose interesting noise parameters I made a tool to visualise the changes quickly called Noise Explorer. I love the emergent patterns as the parameters change!

Fractional Brownian Motion Pattern 1
Fractional Brownian Motion Pattern 2
Fractional Brownian Motion Pattern 3
Fractional Brownian Motion Pattern 4

The screenshots above show the effect of playing with the different fractional brownian motion parameters - I particularly like the weird metallic effect. The video below shows the noise varying with time which is an approach I’ve used for cloud and water motion.