Polynomiography is defined as "the art and science of visualization in approximation of zeros of complex polynomials, via fractal and non-fractal images created using the mathematical convergence properties of an infinite family of iteration functions." An individual image is called a "polynomiograph." Polynomiographs are obtained using new algorithms for the computation of polynomial roots and are a by-product of more than a decade of research on this fundamental, historically influential, and ancient problem.