This paper presents a model for the mechanism of creativity which is derived from the concepts and conclusions of analytic psychology. Creativity is presented as the intended goal of sexual staging with each of the three stages oral, anal, and genital yielding a distinct psychic subsystem which is integral to the mechanism. The influence of pathology on the mechanism as well as the ontogenetic roots of the mechanism are also presented. Finally this qualitative outline is made precise with a quantitative model for the mechanism of creativity. This model is presented in algorithmic form suitable for simulation on a digital computer. The algorithm is also shown to implicitly accommodate pathology and ontogenesis. Its structure and mechanics are illustrated with an example from infancy.