Monster Curves [LATEST]

Take a 1x1 square. It contains an infinite number of points. Peano built a single, continuous line that touches every single one of them .

Meet the . The Problem With "Simple" For most of mathematical history, "curve" meant something tidy: a circle, a sine wave, a parabola. But in 1890, Italian mathematician Giuseppe Peano dropped a bomb. He constructed a curve that passes through every point of a unit square. 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. Take a 1x1 square