Flights of the butterfly

  • Intersections and other stuff

    Here are three lines intersecting at a point: Well, actually, it’s not. As any engineer will tell you, it isn’t quite like that, it looks like this: There is always a slight error. In fact, when you get closer, it looks like this: Actually, nobody ever drew a straight line anyway, they all look like…

  • How big is infinity?

    This seems a silly question. You would think the answer is “bigger than that.” But take a look at this: All of these sequences go on “forever” (we’ll get back to that later) So they are all infinite series. But, logically, the lower rows seem to have fewer numbers than the “all” row. These are…