import java.awt.Color;
import java.awt.Graphics2D;
import java.util.Random;

public class DrawingPolygons {
	public static void main(String[] args) {
		DrawingPanel panel = new DrawingPanel(401,401);
        panel.setBackground(Color.white);
        Graphics2D g = panel.getGraphics();
		Random randy = new Random();

		//fillRegularPolygon(g, 200, 200, 150, randy.nextInt(10)+3);
		fillStar(g,200,200,200,7,0.1);
	}
	public static void fillRegularPolygon(Graphics2D g, int ctrX, int ctrY, int radius, int nPoints){
		int[] xCoords = new int[nPoints];
		int[] yCoords = new int[nPoints];

		double angle = 0;

		for (int i = 0; i < nPoints; i++){
			xCoords[i] = (int) (ctrX + radius * Math.cos(Math.toRadians(angle)));
			yCoords[i] = (int) (ctrX + radius * Math.sin(Math.toRadians(angle)));
			angle += 360/nPoints;
		}
		g.setColor(Color.BLACK);
		g.fillPolygon(xCoords, yCoords, nPoints);
	}
	public static void fillStar(Graphics2D g,int ctrX,int ctrY,int radius,int nPoints,double spikes){
		int[] xCoords = new int[nPoints];
		int[] yCoords = new int[nPoints];
		double inner = radius*(1.0 - spikes);
		int angle = 360/nPoints;
		int index = 0;

		for (int i = 0; i < 360; i += angle){
			xCoords[index] = (int) (ctrX + radius * Math.cos(Math.toRadians(i-90)));
			yCoords[index] = (int) (ctrY + radius * Math.sin(Math.toRadians(i-90)));
			index++;
			xCoords[index] = (int) (ctrX + inner * Math.cos(Math.toRadians(i-90)+(angle/2)));
			yCoords[index] = (int) (ctrY + inner * Math.sin(Math.toRadians(i-90)+(angle/2)));
			index++;
		}
		g.setColor(Color.BLACK);
		g.fillPolygon(xCoords, yCoords, nPoints*2);
	}

}