Can you cut a square in pieces and rearrange them to form an equilateral triangle of equal area? Of course! Can you cut a cube in pieces and rearrange them to form a regular tetrahedron? Of course not! Come to this class to learn: why you can cut and rearrange any polygon into another of equal area, but you can't do the same with polyhedra; why you can evenly cut sandwiches with as many as $$n$$ ingredients in $$n$$ dimensions in two equal parts with a single cut; and maybe even why you can cut one 3-D ball into two identical copies of it. For a demonstration, we may even have ham-sandwiches. They'll be 3-dimensional, we promise!