An example figure (pictures of the Applet)
One of the more interesting examples is a figure called the Van Koch Curve.
To create the curve draw a line with a triangle sticking out of it, like the one shown below.
To draw lines, simply use the mouse and click once on the display area to make a point. Every point you make after the first will be connected by a line. By the way, when I drew the figure I used the "snap" feature. If you click on the checkbox labeled Snap in the lower left corner of the Applet, any points you draw on the Applet will automatically "snap" to a shown grid.
After finishing the figure, push the Generate button to draw the figure with a recursion depth of 1. Each line segment on the original figure is now a smaller version of the entire figure, and each side now has a triangle stuck on it.
Push the Generate button again, and each of the 16 line segments in the figure above now have triangles stuck on them.
After a few pushes, the figure gets very busy, and takes much more time to draw.
The first time the Generate button is pushed 4^2(numOriginalSegments^2) = 16 lines are drawn. The second time 4^3 (numOriginalSegments^3) = 64, then 4^4 = 256, then 4^5 = 1024, etc.
To start a new figure, hit the New button once.