I can form colonies, But without the people, There are good and bad kinds of me, But people tend to steer clear.

I wear a train of vibrant hue, a thousand eyes in plainest view. I strut and fan with regal grace, a living rainbow in this place. My voice is not a song so sweet, but beauty's banner I complete.

I can Breathe in places unknown, but I cannot walk in places known. You might see me in a Bowl.

I rise when given the opportunity, though in the upper atmosphere you won’t find much of me. Both too much and too little can quickly prove fatal, but I am always in all places, even if just faint traces. What am I?

I'm by design a sign of turbulence, though often symmetrical. I raise your arms in patterns, yet am found in the mathematical.