Sometimes a topological space looks locally like some kind of product space, but globally there may be some kind of 'twist' which prevents us from viewing it globally as a product. Such spaces are called fiber bundles, and arise frequently in topology, geometry and algebraic geometry (or so I've heard). In this talk I will introduce fiber bundles in a fairly informal way, explaining what kinds of structure and features such spaces have, how we generalize graphs of functions to these spaces, and what sorts of questions are natural to ask about them. I will focus on the two examples of the cylinder and the Mobius strip, and explain ways in which we can show that these two spaces are different. I have even constructed some fiber bundles out of paper to use as props, which is the closest thing I've done in a while to anything practical as a math student!