These animations are part of my experiments with complex numbers, conformal mapping and particle movement.
The code was written in ActionScript 2, right before ActionScript 3 came out. Due to the size of the program I used a procedural approach. They were shown in a larger Flash animation environment and in the present display the "close" button at the top right doesn't have any functionality. Details and the code are posted on GitHub.
Various functions graphs
Press the buttons to see some preset functions graphs.
Change the arguments and press PLOT.