Answered: Discuss the Sierpinski Gasket and run…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Discuss the Sierpinski Gasket and run the appropriate program/code in Java to produce said gasket.

Please and thank you... Also if its not too much to ask can you please include comments as to what each section of code is doing/give an understanding. It helps me in my learning.

Expert Solution

Step 1: Algorithm:

Start.
Create a Java Swing application.
Define a custom JPanel class called SierpinskiGasket.
Initialize the depth of the Sierpinski Gasket.
Override the paintComponent method to draw the Sierpinski Gasket recursively.
Define the initial triangle vertices and call the recursive drawSierpinski method.
In the drawSierpinski method, check if the depth is 0, and if so, draw a filled triangle.
If the depth is greater than 0, calculate midpoints of the sides and make three recursive calls with smaller triangles.
Create a JFrame, set its properties, and add an instance of SierpinskiGasket with a specified depth.
Display the JFrame.
End.

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