We develop the idea that we can learn about special relativity, not through physics, but through a relativistic dot product. It's the ordinary dot product, but with a minus sign stuck in front of the final term. What difference could that make? You will see nonzero vectors of length zero, events that are both before and after other events, depending on who is asking, and even the twin paradox, where two travelers start and end at the same coordinates in spacetime, but one is actually older. We illustrate all this with mathematical art, as in the attached image. The pearls at the ends of curves are places where various travelers could arrive in spacetime, having traveled paths that are indistinguishable in any physical way!