The Menger Sponge!!

While researching the Menger Sponge, I was truly fascinated and didn't know that such a cool fractal existed! The fractal dimensions of the Menger Sponge are endless with an infinite number of cavity holes ~ almost like windows or a giant super city! When actually looking at this type of fractal, it reminded me very much of the once standing Kowloon Walled City in Hong Kong due to the endless amounts of windows or spaces left open in the sponge. The formation of the sponge starts with the splitting into 27 identical cubes. The center cube of all six sides is then removed which leaves 20 cubes. (8 cubes on the front face, 8 on the back, and then 4 in between).  The sponge exemplifies the attributes of self-similarity which is shown that similar copies of this type of fractal can be found in the original object just at smaller scales. 

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