There's a lot more to geometry than Euclid! Through discussion and problem-solving, this class will introduce students to the mathematics of symmetry and transformations, the foundation of modern geometry, and its historical development. We'll take a look at a few kinds of geometry you don't often see in school, including 3D polytopes, projective geometry (the kind artists use to draw in perspective), computational geometry, and the geometry of numbers. We'll also look at ways geometry can be applied, especially to problems in engineering like how to convert circular motion to straight-line motion, and physical demonstrations of geometric ideas.