import java.util.*;


public abstract class RegularPolygon {
	private  Point2D center;
	private final double radius ;
	private final int numberOfEdges;
	private double inclination;
	
	//
	RegularPolygon (int numberOfEdges){
		this.center = new Point2D();
		this.radius = 1;
		this.numberOfEdges = numberOfEdges;
		this.inclination = 0;
	}
	
	RegularPolygon (Point2D center, int numberOfEdges){
		this.center = center;
		this.radius = 1;
		this.numberOfEdges = numberOfEdges;
		this.inclination = 0;
	}
	
	RegularPolygon (Point2D center, double radious, int numberOfEdges, double inclination){
		this.center = center;
		this.radius = radious;
		this.numberOfEdges = numberOfEdges;
		this.inclination = inclination;
	}

	//methods
	
	ArrayList<Point2D> verticesOf (){
		ArrayList<Point2D> vertices = new ArrayList<Point2D>();
		
		//I found the "first" vertex of the polygon
		Point2D vertex = new Point2D(this.radius, 0d).rotateOf(this.inclination).translate(this.center);
		
		for (int i = 0; i< this.numberOfEdges; i++) {
			// for every 0<= i <n  take the "first" vertex, rotate of i times 2*PI/n to have the others vertices
			vertices.add( vertex.rotateOfWithCenter(i*2*Math.PI/this.numberOfEdges, this.center ));
		}
		
		return vertices;		
	}
	
	
}