[Flash8]Help needed! creating "false fractals"

Hi there!

I am looking to generate some lines in a certain manner so they create an image similar to the attached one.

I have tried some loops and duplicate movieclip functions but it seems to get slower and slower once I have started to duplicate a line, scale the copy 101% and rotate it one degree.

Do you have any idea in Actionscript for Flash 8, I could try to generate these lines keyframe by keyframe without going the way that slows the whole thing down?

I would be very grateful and sponsor a to the forum.
Cheers!