Certain cultural information is expressed in the morphology of projectile points. The present paper presents a technique that can extract a large amount of information in the shape of these points. Using a concept from fractal geometry, the degree of shape irregularity is quantified. This technique can be used to document variability in shape of individual points within a point type, or among point types. In this study, the shapes are segmented into two components (structural and textural), and points of similar characteristics plot closely in bivariate plots of these components. If necessary, the method can be modified to provide information at more than two scales.