Applet not displaying anything

A simple question with a perhaps not so simple solution. My code is supposed to show a triangle on a black background that can be moved around onscreen. Only nothing displays, just a white area that can't be right-clicked on. It does not work in either the appletviewer or an HTML document, and shows no syntax errors. What is wrong with my code?

import java.awt.*;
import java.applet.*;
import java.awt.geom.*;
import java.awt.image.BufferedImage;
import java.awt.event.*;


public class Shipmovementtest extends Applet implements Runnable,KeyListener{

    Graphics2D g2d;
    Ship ship1 = new Ship();
    BufferedImage backbuffer;
    AffineTransform identity = new AffineTransform();
    Shape ship1shape;
    Thread gameloop;
    public void start()
    {
        gameloop = new Thread(this);
        gameloop.start();
    }
    public void run()
    {
        Thread t = Thread.currentThread();
        while(gameloop==t)
        {
        try
        {
            Thread.sleep(20);
        }
        catch(InterruptedException e)
        {
            e.printStackTrace();
        }
        repaint();
        }
    }
    public void stop()
    {
        gameloop = null;
    }

    public void init()
    {
        ship1shape = ship1.getShape();
        backbuffer = new BufferedImage(640,480,BufferedImage.TYPE_INT_RGB);
        g2d = backbuffer.createGraphics();
        addKeyListener(this);
        setFocusable(true);
        requestFocusInWindow();

    }
    public void update(Graphics g)
    {
        g2d.setTransform(identity);
        g2d.setPaint(Color.BLACK);
        g2d.fillRect(0,0,getSize().width,getSize().height);
        drawShip();
        paint(g);
    }
    public void keyTyped(KeyEvent e){}
    public void keyPressed(KeyEvent e)
    {
        int ke = e.getKeyCode();
        switch(ke)
        {
        case KeyEvent.VK_LEFT:
            ship1.setFaceAngle(ship1.getFaceAngle()-5);
            break;
        case KeyEvent.VK_RIGHT:
            ship1.setFaceAngle(ship1.getFaceAngle()+5);
            break;
        case KeyEvent.VK_UP:
            ship1.incX(-ship1.calcAngleMoveX(ship1.getFaceAngle())*ship1.velocity);
            ship1.incY(-ship1.calcAngleMoveY(ship1.getFaceAngle())*ship1.velocity);
            break;
        case KeyEvent.VK_DOWN:
            ship1.incX(ship1.calcAngleMoveX(ship1.getFaceAngle())*ship1.velocity);
            ship1.incY(ship1.calcAngleMoveY(ship1.getFaceAngle())*ship1.velocity);
            break;
       }
    }
    public void paint(Graphics g)
    {
        g2d.drawImage(backbuffer,0,0,this);
    }
    public void keyReleased(KeyEvent e){}
    public void drawShip()
    {
        g2d.setTransform(identity);
        g2d.translate(ship1.getX(),ship1.getY());
        g2d.rotate(Math.toRadians(ship1.getFaceAngle()));
        g2d.setColor(ship1.getColor());
        g2d.fill(ship1.getShape());
    }
}

In the end of paint you need to actually draw the buffer to the real graphics g. Currently you are only painting in the buffer.

So correct code would be

public void paint(Graphics g)
{
    g.drawImage(backbuffer,0,0,this);
}