Yes. The applet that draws the single stars has calculated the endpoints of all these lines.
Here is an applet that extends the basic star by drawing another star centered at the tip of each of the six lines:
The new stars are drawn in red. Each new star partially overlaps a line of the central star. This could be avoided by doing more math, but the the overlap does not hurt.
Can you think of a way to draw a star at the end of each line?