import java.awt.*;

public class Polygons {
	// Some constants to make formulas nicer
	public static final int CENTER = 300;
	public static final int PENTAGON_SIZE = 100;
	public static final int TRIANGLE_SIZE = 250;
	
	public static void main(String[] args) {
		DrawingPanel p = new DrawingPanel(CENTER * 2, CENTER * 2);
		Graphics g = p.getGraphics();
		
		// Don't get tripped up by the math here. The important part is
		// creating arbitrary shapes with polygons.
		
		// Draws a Triangle
		int sin = (int)(Math.sin(Math.PI * 2 / 3) * TRIANGLE_SIZE);
		int cos = (int)(Math.cos(Math.PI * 2 / 3) * TRIANGLE_SIZE);
		Polygon tri = new Polygon();
		tri.addPoint(CENTER - sin, CENTER + cos);
		tri.addPoint(CENTER, CENTER + TRIANGLE_SIZE);
		tri.addPoint(CENTER + sin, CENTER + cos);
		g.drawPolygon(tri);
		
		// Draws a Pentagon
		int s1 = (int)(1.0 / 4 * Math.sqrt(10 + 2 * Math.sqrt(5)) * PENTAGON_SIZE);
		int s2 = (int)(1.0 / 4 * Math.sqrt(10 - 2 * Math.sqrt(5)) * PENTAGON_SIZE);
		int c1 = (int)(1.0 / 4 * (Math.sqrt(5) - 1) * PENTAGON_SIZE);
		int c2 = (int)(1.0 / 4 * (Math.sqrt(5) + 1) * PENTAGON_SIZE);
		Polygon pent = new Polygon();
		pent.addPoint(CENTER, CENTER - PENTAGON_SIZE);
		pent.addPoint(CENTER + s1, CENTER - c1);
		pent.addPoint(CENTER + s2, CENTER + c2);
		pent.addPoint(CENTER - s2, CENTER + c2);
		pent.addPoint(CENTER - s1, CENTER - c1);
		g.fillPolygon(pent);
	}
}