After some minor adjustments to the DistortedPlane class it was possible to render more than one plane at a time (the interpolatedPoints array was static...). Class has now been extended with a front and backside material, and here is a small demonstration of putting a number of planes together.
The material was a quick paintjob done in Photoshop on my wacom.
One major thing is that I found the solution to a certain problem: the player locks up when drawing certain bitmapfills using smooth set to true. The fix is to also set repeat to true. Hope that fixes it for you as well.