Sierpinski Carpet: Area

Fractal Playlist:    • Fractals   This video continues with the Sierpinski Carpet, specifically focusing on finding the area of the object and showing that it is equal to zero after the process for creating the fractal is carried out infinitely many times. The general process for creating this fractal is to start with a square, divide it into 9 smaller, equally sized squares, and then remove the middle square. This process will then be repeated on the remaining 8 smaller squares. The Sierpinski Carpet is created after carrying out this process infinitely times. The area of each successive step in the process is 8/9ths of the area of the previous step. EulersAcademy.org