import java.awt.*;       // Import Abstract Window Toolkit
import java.applet.*;    // Import Applet stuff


public class NestedPolygonWorld extends TurtleWorld {
  
  String parameterNames [] = {"size", "number"};
  ParameterFrame params;
  
  public void setup() {
    params = new ParameterFrame(" Parameters",200, 50, parameterNames);
  }
  
  public void run() {
    PolygonMaker polly = new PolygonMaker();
    // Move to good initial position using simple geometry
    double size = params.getDoubleParam("size");
    int number = params.getIntParam("number");
    double innerAngle;
    if (number>0) {
      innerAngle = 360/number;
    } else {
      innerAngle = 120;
    }
    double halfInnerAngle = innerAngle/2;
    double innerRadius = (size/2) / Math.sin(halfInnerAngle*Math.PI/180);
    polly.pu();
    polly.lt(90-halfInnerAngle);
    polly.bd(innerRadius);
    polly.rt(90-halfInnerAngle);
    polly.pd();

    polly.nestEquiPolygons(size, number);
  }
    
}


class PolygonMaker extends Turtle {

  public void nestEquiPolygons(double size, int number) {
    System.out.println("nestEquiPolygons("+size+", "+number+");");
    if (number>0) {
      equiPolygon(size,number+2);
      nestEquiPolygons(size,number-1);
    }  
  }
  
  public void equiPolygon(double size, int sides) {
    System.out.println("equiPolygon("+size+", "+sides+")");
    double outerAngle = 360.0/sides;
    equiPolySide(size, outerAngle, sides);
  }
  
  public void equiPolySide(double size, double angle, int count) {
    System.out.println("equiPolySide("+size+", "+angle+", "+count+")");
    if (count>0) {
      fd(size);
      lt(angle);
      equiPolySide(size, angle, count-1);
    }
  }

}