Sierpinski Carpet: Fractal Dimension

Fractal Playlist:    • Fractals   This video continues with the Sierpinski Carpet by determining the fractal dimension of the object. Video on Fractal Dimension:    • Fractal Dimension   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 Sierpinski Carpet has a fractal dimension equal to approximately 1.89 and has an area equal to zero. These topics will be explored in later videos. EulersAcademy.org