package spiroGraphic;

import javax.swing.JFrame;

public class Main {




    public static void main(String[] args) {

        boolean persist=true;

        SpiroFrame window=new SpiroFrame(8);

        window.setSize(600, 400);
        window.setLocation(640, 140);

        window.setResizable(false);
        window.setTitle("Spirograph");
        window.setUndecorated(false);
        window.setOpacity(1F);

        window.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);


        window.setVisible(true);


        while(persist){
            window.repaint();
            window.step();
            window.setAlwaysOnTop(true);

            try {
                Thread.sleep(15);
            } catch (InterruptedException e) {
                e.printStackTrace();
            }

        }


    }

}





package spiroGraphic;

import java.awt.*;
import java.awt.geom.*;
import java.awt.image.*;
import java.util.*;

import javax.swing.*;



public class SpiroFrame extends JFrame {

    private Spirograph spiral;

    private int width, height;

    SpiroFrame(int size){
        spiral=new Spirograph(size);
    }
    SpiroFrame(int size, double x, double y){
        spiral=new Spirograph(size, x, y);
    }

    public void paint(Graphics g){
        Graphics2D image=(Graphics2D) g;

        BufferedImage bufferBase=new BufferedImage(width, height, BufferedImage.TYPE_INT_ARGB);
        Graphics2D bufferImage=bufferBase.createGraphics();

        ArrayList<Line2D> lines=spiral.getLines();

        bufferImage.setBackground(Color.WHITE);
        bufferImage.setColor(Color.BLACK);
        bufferImage.fillRect(0, 0, width, height);
        bufferImage.setColor(Color.GREEN);

        for(int a=0; a<lines.size(); a++){
            bufferImage.draw(lines.get(a));
        }


        image.clearRect(0, 0, width, height);
        image.drawImage(bufferBase, null, 0, 0);

    }



    public void setSize(int width, int height){
        super.setSize(width, height);
        this.width=width;
        this.height=height;

        spiral.setCoord(width/2, height/2);

    }

    public void step(){
        spiral.rotate((Math.PI)/300);
        //spiral.step();
    }

}





package spiroGraphic;

import java.awt.geom.Line2D;
import java.util.ArrayList;

public class Spirograph {


    private int size; // Size

    private double rotation; // Rotation from standard position
    private double scaleStage;
    private int step;
    private boolean growing=true;

    private double a,b;

    private double x,y;


    Spirograph(int scale){
        size=scale;
        rotation=0;
        scaleStage=0;
        x=0;
        y=0;
        step=0;
        a=10;
        b=7;
    }
    Spirograph(int scale, double x, double y){
        size=scale;
        rotation=0;
        this.x=x;
        this.y=y;
        step=0;
        a=10;
        b=7;
    }

    public ArrayList<Line2D> getLines(){
        ArrayList<Line2D> lines=new ArrayList<Line2D>();

        a=10;
        b=7;



        double quality=Math.PI/30; // Theta range between checks

        for(double theta=0; theta<16*(Math.PI); theta+=quality){

            double x1,x2,y1,y2;

            x1=Math.cos(theta+rotation)*(a+b);
            x2=Math.cos(theta+rotation+quality)*(a+b);
            y1=Math.sin(theta+rotation)*(a+b);
            y2=Math.sin(theta+rotation+quality)*(a+b);

            x1-=b*Math.cos( (theta)*        (a+b)/b );
            x2-=b*Math.cos( (theta+quality)*(a+b)/b );
            y1-=b*Math.sin( (theta)*        (a+b)/b );
            y2-=b*Math.sin( (theta+quality)*(a+b)/b );

            x1*=size;
            x2*=size;
            y1*=size;
            y2*=size;
            double xmod=1, ymod=.4;

            x1*=xmod;
            x2*=xmod;

            y1*=ymod;
            y2*=ymod;



            x1+=x;
            x2+=x;
            y1+=y;
            y2+=y;


            lines.add(new Line2D.Double(x1, y1, x2, y2));

        }

        return lines;
    }


    public void step(){
        step++;

        if(!growing){
            a-=0.01;
        }

        if(growing){
            a+=0.01;
            if(a>=12){
                a=12;
                growing=false;
            }
        }
        if(a<=8){
            a=8;
            growing=true;
        }



    }



    public void rotate(double angle){
        rotation+=angle;
    }

    public void setCoord(double x, double y){
        this.x=x;
        this.y=y;
    }


}