As mathematicians, we are familiar with a wide array of numbersystems: integers, rationals numbers, real numbers, etc.,  but is that all there is? It turns out that there is another, much stranger number system known as the p-adic numbers. The p-adics arise as in a similar fashion to the real numbers, but act in a completely unique way. When working with something so unfamiliar, it would be helpful to have a picture of what the p-adic's look like, that is a topological model in Euclidean space to help visualize them. This talk will introduce p-adic numbers, explore some topological and algebraic curiosities, and give Euclidean models which are homeomorphic to p-adics.