For this week’s Looking Out, I have decided to pick James Tyrwhitt-Drake’s 2015 creation, 4-Dimensional Polytope visualization. A polytope is a geometric shape that has flat sides. Personally, I find this project admirable because I have been interested in visualizing shapes of greater than 3-dimensions for quite a while. As such, I appreciate this visualization a great deal. I am unsure about many of the algorithms that generated this work, but I can assume that many of the parameters of the polytope depend on its number of points, sides, and viewing angle of the polytope. I also believe that, because a polytope is constructed using lower dimensional shapes, the number of points is actually represented by shapes like that one seen below. Although we are unable to truly see what a 4D shape would look like, I find it very interesting that we still have ways to visualize them.