Various General Tips
Collect Green Gems whenever you can. By picking them up your score multiplier will increase into amazing numbers.
As with any Geometry Wars game the trick is to keep moving at all times and never stay still.
Once you activate Black Hole (the bright blue anomalies), it begins to suck in a bunch of enemies and the faster it spins, the more enemies its capable of sucking in and destroying. Keep in mind if you shoot it too much it gets to spin a bit too faster (you'll hear that warning sound).
Shooting connected red shapes does them no good. You'll have to fly through them to make 'em disappear and get those green gems.
As much as you can try to get a hold of 3-star rating it does wonders to your leader board position.