This program demonstrates the creation of a display list. The example is ported from C examples in the OpenGL Programming Guide (known as the "red book").

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 package glredbook11;

import javax.swing.*;
import javax.media.opengl.*;
import javax.media.opengl.glu.*;
import java.awt.event.*;

/**
 * This program demonstrates the creation of a display list.
 * 
 * @author Kiet Le (java port)
 */
public class torus
  extends JFrame
    implements GLEventListener, KeyListener
{
  private GLCanvas canvas;
  private GLCapabilities caps;
  private int theTorus;
  private KeyEvent key; 
  private float angleX = 30f;
  private float angleY = 30f;

  public torus()
  {
    super("torus");
    
    caps = new GLCapabilities();
    canvas = new GLCanvas(caps);
    canvas.addGLEventListener(this);
    canvas.addKeyListener(this);
    
    getContentPane().add(canvas);
  }

  public void run()
  {
    setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
    setSize(512, 512);
    setLocationRelativeTo(null);
    setVisible(true);
  }

  public static void main(String[] args)
  {
    new torus().run();
  }

  private void drawTorus(GL gl, int numc, int numt)
  {
    double s, t, x, y, z, twopi = 2 * Math.PI;
    for (int i = 0; i < numc; i++)
    {
      gl.glBegin(GL.GL_QUAD_STRIP);
      for (int j = 0; j <= numt; j++)
      {
        for (int k = 1; k >= 0; k--)
        {
          s = (i + k) % numc + 0.5;
          t = j % numt;
          x = (1 + 0.1 * Math.cos(s * twopi / numc))
              * Math.cos(t * twopi / numt);
          y = (1 + 0.1 * Math.cos(s * twopi / numc))
              * Math.sin(t * twopi / numt);
          z = 0.1 * Math.sin(s * twopi / numc);
          gl.glVertex3d(x, y, z);
        }// k
      }// j
      gl.glEnd();
    }// i
  }

  public void init(GLAutoDrawable drawable)
  {
    GL gl = drawable.getGL();
    
    theTorus = gl.glGenLists(1);
    gl.glNewList(theTorus, GL.GL_COMPILE);
    drawTorus(gl, 8, 25);
    gl.glEndList();
    
    gl.glShadeModel(GL.GL_FLAT);
    gl.glClearColor(0.0f, 0.0f, 0.0f, 0.0f);
  }

  public void display(GLAutoDrawable drawable)
  {
    GL gl = drawable.getGL();
    GLU glu = new GLU();
    //
    gl.glClear(GL.GL_COLOR_BUFFER_BIT);
    //
    if (key != null)
    {
      switch (key.getKeyCode()) {
        case KeyEvent.VK_X:
          gl.glRotated(angleX, 1f, 0f, 0f);  
          break;
        case KeyEvent.VK_Y:
          gl.glRotated(angleY, 0f, 1f, 0f);  
          break;
        case KeyEvent.VK_I:
          gl.glLoadIdentity();
          glu.gluLookAt(0, 0, 10, 0, 0, 0, 0, 1, 0);
          break;
        default:
          break;
      }
    }

    gl.glColor3f(1.0f, 1.0f, 1.0f);
    gl.glCallList(theTorus);
    gl.glPopMatrix();
    gl.glFlush();
  }

  public void reshape(GLAutoDrawable drawable, int x, int y, int width,
      int height)
  {
    GL gl = drawable.getGL();
    GLU glu = new GLU();
    //
    gl.glViewport(0, 0, width, height);
    gl.glMatrixMode(GL.GL_PROJECTION);
    gl.glLoadIdentity();
    glu.gluPerspective(30, (float) width / (float) height, 1.0, 100.0);
    gl.glMatrixMode(GL.GL_MODELVIEW);
    gl.glLoadIdentity();
    glu.gluLookAt(0, 0, 10, 0, 0, 0, 0, 1, 0);
  }

  public void displayChanged(GLAutoDrawable drawable, boolean modeChanged,
      boolean deviceChanged)
  {
  }

  public void keyTyped(KeyEvent key)
  {
  }

  public void keyPressed(KeyEvent key)
  {
    this.key = key;
    switch (key.getKeyCode()) {
      case KeyEvent.VK_ESCAPE:
        System.exit(0);
        break;

      default:
        break;
    }
    canvas.display();
  }

  public void keyReleased(KeyEvent key)
  {
  }
}

Source: Kiet Le's The Red Book Examples using JOGL