Imagining Beautiful Math

Here is a fresh perspective of Euler's beautiful equation. There are a wide variety of ways to view this equation. Here is a creative way to think of the infinite sum as an infinite set of dance steps. This video illustrates the creative opportunity we have to how we perceive math. An infinite sum could be viewed as simply a bunch of formulas. However, there are more creative and interesting ways to view this sum. In this video, we convert the complex plane to a 2 dimensional dance floor where every term in the formula is converted into a dance step. Where will the dance finish? Is it possible to identify where a dance will finish if we have an infinite number of dance moves. How can we incorporate pi into this dance perspective. These are just some of the questions and concepts we will dance with in this video.