Challenging Your Assumptions

One of the most important aspects of science is to challenge our assumptions about the world and universe around us. Take geometry for example. We believe that if we walk 10 feet, then turn left and walk ten feet, then turn left and walk then feet, and finally turn left again and walk ten feet we will have created a square. Of course, that is absolutely true. Our perception tells us so. But what happens when we do that on a curved surface and, more importantly, when the surface is moving? The...