If we consider the equation f(z) = z^3 - 1 for complex z, we recall that are three solutions to this equation, the three cube roots of 1. We will start with any point in the complex plane and then we will use the Newton-Raphson technique to determine which of the three solutions this technique converges to. Every point which converges by this method to z=1 will be colored red. The points which converge to the other two roots will be colored green and blue respectively. This will create three basins of attraction in the three colors. The result is an unexpected surprise.