How can I make JOptionPane dialogs show up as a task on the taskbar?

Edit:

The question follows the horizontal rule; my own answer precedes it.

Based on help from Oscar Reyes, I crafted this solution:

import javax.swing.JOptionPane;
import javax.swing.JFrame;

public class MyApp extends JFrame {
    public static void main(String [] args) {
        new MyApp();
    }

    public MyApp() {
        super("MyApp");
        setUndecorated(true);
        setVisible(true);
        setLocationRelativeTo(null);
        String i = JOptionPane.showInputDialog(this, "Enter your name:", getTitle(), JOptionPane.QUESTION_MESSAGE);
        if(null != i) {
            JOptionPane.showInputDialog(this, "Your name is:", getTitle(), JOptionPane.INFORMATION_MESSAGE, null, null, i.concat(i));
        }
        dispose();
    }
}

Notice I display my output in a JOptionPane.showInputDialog also. This way the output is highlighted in a text field so I can simply press CTRL+C to copy the output to the system clipboard and them press ESC to dismiss the application.

I've created a trivial GUI for my trivial application. My application prompts for a single input with a JOptionPane.showInputDialog, performs a calculation, and then displays a single output with a JOptionPane.showMessageDialog. I sometimes switch to a maximized browser window or something else to copy from, and then want to switch back to my JOptionPane dialog to paste into.

I want to have my JOptionPane dialog show up as a task on the taskbar so I could switch to it like nearly any other running program. I prefer JOptionPane's simplicity, rather than having to create a JFrame, a FlowLayout, an Icon, a JTextField, a JButton, an ActionListener, and so on, and so on.

• Can JOptionPane show up as a task on the taskbar?
• If so, how do I get it to show up?
• If