Press the blue "draw" button and input an odd or even number of vertices.
This program draws the most basic star for each possible number of vertices. If p = number of points and p is even, it draws two p/2-gons. If p is odd, it draws a star with vertex angles of 180-720/p. For my next trick, I'd really like to use modular arithmetic to draw all possible stars for a given number of vertices. Thanks to Vi Hart for getting me and my math students into this question.