// Author: Ika, Date: 08/04/2015 -->
// The following code can be used to generate the SVG image of ordinals \omega^2.
// Anyone can copy and revise this code without any copyright concern.

import java.io.File;
import java.io.FileInputStream;
import java.io.FileOutputStream;
import java.io.FileWriter;
import java.io.PrintWriter;

public class Ordinal
{
	public static void main(String[] args)
	{
		try{
			File output = new File("ordinal_ww.svg");
			FileWriter fw = new FileWriter(output);
			PrintWriter pw = new PrintWriter(fw);
			
			pw.println("<?xml version=\"1.0\" standalone=\"no\"?>");
			pw.println("<!-- Author: Ika, Date: 08/04/2015 -->");
			pw.println("<!-- Anyone can copy and revise this code without any copyright concern. -->");
			pw.println("<svg width=\"512\" height=\"384\" version=\"1.1\" xmlns=\"http://www.w3.org/2000/svg\">");
			pw.println("\n\t<g style=\"stroke:black; stroke-width:1\" >");
			// Draw the vertical lines...
			double magic_frac = 0.875;	// the length ratio between each pair of segments
			double min_l = 0.1;	// the least length of each segment
			double x=1.0, y=0.0, l=384.0;
			double L=l; // restored length after each loop
			do{
				do{
					pw.println("\t\t<path d=\"m"+x+" "+y+" v"+l+"\" />");
					x += l*(1-magic_frac)/6;
					y += l*(1-magic_frac)/2;
					l *= magic_frac;
				}while(l>min_l);
				l = L *= magic_frac;
				y = (384-l)/2;
			}while(L>min_l);
			
			pw.println("\t</g>");
			pw.println("\n</svg>");
			
			fw.close();
		}
		catch (Exception e){}
	}
}