Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question

Does the below program use recursion to create a sierpinski triangle?

Souce code:

package application;

 

public class Triangle {

publicstaticvoid main(String [] args) {

TriangleFrame tf = new TriangleFrame();

}

}

package application;
import java.awt.*;
import javax.swing.*;

public class SierpinskiGasket extends JPanel {
    public SierpinskiGasket() {
        
    }
    public void drawTriangle (Graphics g, int x, int y, int width, int height) {
        if (height == 1) {
            g.drawRect(x, y, width, height);    
        }
        else {
            drawTriangle(g, x + (width / 4), y, width / 2, height / 2);
            drawTriangle(g, x, y + (height / 2), width / 2, height / 2);
            drawTriangle(g, x + (width / 2), y + (height / 2), width/ 2, height / 2);
        }
    }
    public void paintComponent (Graphics g) {
        super.paintComponent(g);
        drawTriangle(g, 0, 0, this.getWidth(), this.getHeight());
    }
}

 

Expert Solution
Check Mark
Step 1: Introduce Sierpinski triangle:

The Sierpinski triangle is a well-known fractal pattern that can be created by recursively subdividing an equilateral triangle into smaller equilateral triangles. It exhibits self-similar and intricate geometric properties.

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