アドベンチャー数学　(Adventures in Math Class)

When we think of animations, the first thing that probably pops into our minds are drawings that have simply come to life. Though this seems so simple, it process of animating a film per say or video game requires a complexity of skillfulness. Computer animation typically deals with objects that are modeled on a larger scale and in precise details, take Dash from the Incredible's series and something as simple as his hair as it blows past him when he's on the move. While he's in motion, his hair  there are probably around 100,000 individual elements all working their magic at once, so we see this little insignificant aspect of the film. While surfing the internet for information of animations and computers, I came across a TED talk about the details and elements that are implemented into Pixar Films, it's really fascinating!  Link: https://www.ted.com/talks/danielle_feinberg_the_magic_ingredient_that_brings_pixar_movies_to_life/transcript?language=en  http://graph

We humans life in a three-dimensional world. Those three dimensions are commonly known as length, width, and height. An example of a three-dimensional shape is a cube. Whether an object is three-dimensional or two-dimensional, our minds can visualize what that object may be or look like. When we jump into shapes that are in the 4th dimension however, our minds get fuzzy and we scratch our heads in confusion. If we can think about how the volumes of shapes play a role in number of dimensions a shape has, then it's quite straightforward. The volume of a side of a cube has the expression, x 3   or "x  cubed". This means that for a hypercube it is simply  x 4 . https://vignette.wikia.nocookie.net/alldimensions/images/6/64/Tesseract_the_four-dimensional_hypercube_-GIF-_-_Imgur.gif/revision/latest?cb=20130219082716 The animation above shows what is commonly known as a four-dimensional cube: a hypercube, or tesseract. The  4D object is being rotated for