[SHOW] DisplacementMapFilters!
As I've shown already, I'm working on a Geometry Wars clone. Obviously the coolest part of Geometry Wars was how the grid would bend away from powerful attacks or explosions, so I tried to recreate that with DisplacementMapFilters:
http://www.birchlabs.co.uk/GridDisplacement.swf
Now, it's not a perfect recreation of the effect (should be bending away, but instead it's just bending), but I think it's just as cool, and works just as well. In order to properly recreate it, that'd obviously require Drawing API and more complicated maths than I've ever encountered. :)
The difference with this DisplacementMapFilter example (as opposed to, say, the one I tinkered with to make it... not sure who made it, it's been gathering dust in my BitmapData folder for a while) is that it's a lot more optimized. The ripple is pre-rendered (so where there was originally a blur being done in real-time, I'm draw()ing it into an array of BitmapData objects), and I'm using copyPixels() instead of draw() to place the ripple onto the BitmapData object to be displaced.