That looks like an Archimedean Spiral ( http://en.wikipedia.org/wiki/Archimedean_spiral )
import java.awt.BasicStroke;
import java.awt.BorderLayout;
import java.awt.Graphics;
import java.awt.Graphics2D;
import java.awt.Shape;
import java.awt.geom.AffineTransform;
import java.awt.geom.Path2D;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
public class SpiralDrawPanelTest
{
public static void main(String[] args)
{
SwingUtilities.invokeLater(new Runnable()
{
@Override
public void run()
{
createAndShowGUI();
}
});
}
private static void createAndShowGUI()
{
JFrame f = new JFrame();
f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
f.getContentPane().setLayout(new BorderLayout());
f.getContentPane().add(new SpiralDrawPanel(),BorderLayout.CENTER);
f.setSize(800, 800);
f.setLocationRelativeTo(null);
f.setVisible(true);
}
}
class SpiralDrawPanel extends JPanel {
@Override
public void paintComponent(Graphics gr)
{
super.paintComponent(gr);
Graphics2D g = (Graphics2D)gr;
AffineTransform at =
AffineTransform.getTranslateInstance(
getWidth()/2, getHeight()/2);
BasicStroke stroke =
new BasicStroke(1.0f,
BasicStroke.CAP_BUTT,
BasicStroke.JOIN_MITER,
10.0f, new float[]{10.0f}, 0.0f);
g.setStroke(stroke);
Shape shape =
at.createTransformedShape(
createArchimedeanSpiral(Math.PI*10, 10, 250));
g.draw(shape);
}
private static Shape createArchimedeanSpiral(
double totalAngleRad, double alpha, int steps)
{
Path2D path = new Path2D.Double();
path.moveTo(0, 0);
double angleDeltaRad = totalAngleRad / steps;
for (int i=0; i<=steps; i++)
{
double angleRad = i * angleDeltaRad;
double x = Math.sin(angleRad) * alpha * angleRad;
double y = Math.cos(angleRad) * alpha * angleRad;
path.lineTo(x, y);
}
return path;
}
}
EDIT for the comment.
import java.awt.BorderLayout;
import java.awt.Graphics;
import java.awt.geom.Path2D;
import javax.swing.JFrame;
import javax.swing.JPanel;
import javax.swing.SwingUtilities;
public class SpiralDrawPanelTest
{
public static void main(String[] args)
{
SwingUtilities.invokeLater(new Runnable()
{
@Override
public void run()
{
createAndShowGUI();
}
});
}
private static void createAndShowGUI()
{
JFrame f = new JFrame();
f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
f.getContentPane().setLayout(new BorderLayout());
f.getContentPane().add(new SpiralDrawPanel(),BorderLayout.CENTER);
f.setSize(800, 800);
f.setLocationRelativeTo(null);
f.setVisible(true);
}
}
class SpiralDrawPanel extends JPanel {
@Override
public void paintComponent(Graphics g)
{
super.paintComponent(g);
paintArchimedeanSpiral(g, getWidth()/2, getHeight()/2, Math.PI * 10, 10, 250);
}
private static void paintArchimedeanSpiral(
Graphics g,
double centerX, double centerY,
double totalAngleRad, double alpha, int steps)
{
Path2D path = new Path2D.Double();
path.moveTo(0, 0);
double angleDeltaRad = totalAngleRad / steps;
for (int i=0; i<=steps; i+=2)
{
double angleRad0 = i * angleDeltaRad;
double angleRad1 = i * angleDeltaRad + angleDeltaRad;
double x0 = centerX + Math.sin(angleRad0) * alpha * angleRad0;
double y0 = centerY + Math.cos(angleRad0) * alpha * angleRad0;
double x1 = centerX + Math.sin(angleRad1) * alpha * angleRad1;
double y1 = centerY + Math.cos(angleRad1) * alpha * angleRad1;
g.drawLine((int)x0, (int)y0, (int)x1, (int)y1);
}
}
}