Imagine trying to paint a picture with three colors--say red, blue, and yellow--with a blue region between any red and yellow regions, a red region between any blue and yellow regions, and a yellow region between any red and blue regions, down to infinitely fine details. Regions arranged in this way satisfy what is called the Wada property. At first thought, it may not be so clear that any regions at all satisfy the Wada property. Borrowing a simple geometrical construction from a first course on dynamical systems, we show that the Wada property arises naturally in Newton's method as introduced in first-semester calculus.