The Geometry of Our Universe

The Geometry of Our Universe

Through case studies, we will see how math, and geometry in particular, helps us understand various features of the space that surrounds us. Can we determine whether our Universe is finite or infinite? What is the shortest path between two points in space? How would our mundane three-dimensional existence change if we were suddenly pulled into the fourth dimension? What is a dimension? How many dimensions does our Universe have? We will introduce basic mathematical model of a black hole, and, as a fun application, will develop a reasonable scenario for time travel.