But what if I told you that mathematicians have discovered curves that are so wild, so twisted, and so impossibly long that they can literally fill up a entire square? Not a thick marker blob. A true, one-dimensional line that visits every single point inside a two-dimensional area.
Take a 1x1 square. It contains an infinite number of points. Peano built a single, continuous line that touches every single one of them . monster curves
If I asked you to draw a curve—a simple line from Point A to Point B—you’d probably draw a smooth arc or a wavy line. You’d leave plenty of empty space on the page. But what if I told you that mathematicians