I'm not entirely thrilled with this, but I'll go with it for now. The green and purple, of course, are the traditional colors of the Brainiacs, good and evil. And the three-dot symbol, created for the Superman cartoons if I recall correctly, has become a very good visual symbol for Brainiac. And the hexagons call back to the robot Brainiac. I remember when I was a kid, I really enjoyed drawing his evil robot skull ship.
Ah, happy days....
Brainiac 5 is owned by DC Comics.
*wish to one day own that badge* *w*