BulletML style solutions?

BulletML? Bullet Hell Pattern Generation?

Goal of thread - identify different ways to make pleasing bullets 'blooming' out from a single coordinate or 'turret' perimeter.

I have been successful in the following heuristic:

• Set turret on random spin rate.
• Set rate of fire to random interval
• set upper and lower limits that are pleasing.

I was just wondering what types of algorithms/heuristic methods people use to make pleasing and realistic bullet hell patterns? Is there an easier way?... similar to BulletML in Unity?

What I am working on is procedural so I am nervous that certain bosses are going to create patterns that are essentially impossibilities.

Has anyone achieved the same type thing with Sine or Waves?

Thanks. Also found some clues on stack today:

Something like this...

Create object with bullet behavior measuring angle back to origin The below algorithm creates an object at some random point along the diameter (measuring from the radius)... I just need the think of a way to space them evenly now.. I think I couple with Sine and bingo.

x = cos(random(0,1)*(3.14159)*2)*radius

y = sin(random(0,1)*(3.14159)*2)*radius

*Edit* perhaps I take the original random spot and then divide the number of desired evenly spaced bullets but 360 and loop on that... Let me give it a try.