アドベンチャー数学　(Adventures in Math Class)

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. 

From a young age, we learn to be kind. This can be hard at times especially since the world we live in is prone to greediness and self-centered behavior from all of us. We all desire to get the things we want. Unfortunately at times, that factor of kindness is hindered and instead harmful actions or words are inflicted among others when only thinking about ourselves. As we grow older and wiser, we also learn the kindness can be one of the easiest things to achieve whether it's giving a helping hand by offering help, going the extra mile to make someone's day, or just as simple as holding the door for someone else. Being kind to one another is one of the best gifts we have. It can range from helping out with a close friend or family member to a stranger across the ocean or somewhere out there in the world just waiting for you to create a simple bond all by kindness. Kindness brings us together and is a reminder of what  unites us can be far greater than what is divides us. ...