The Golden Section and the Aesthetics of Form and Composition: A Cognitive Model

Abstract

Previous work on the aesthetics of simple figures such as rectangles and triangles, as well as on the aesthetics of color, suggests that although there are clear population level preferences, there are also large individual differences which are temporally stable, and which any adequate theoretical analysis must take into account. Data presented here show similar phenomena in a related problem in composition—where to place an object within the frame of a picture to produce the optimal aesthetic effect. A novel and powerful “method of randomized paired comparisons” first showed that there are overall population level preferences, with objects being placed preferentially at the two golden sections horizontally, and between the two golden sections vertically. As in the studies of simple figures and colors, there are large individual differences. A cognitive model of “sensory aesthetics” is proposed in which continua of any type (space, geometric objects, colors, or whatever), are described categorically, usually in terms of words such as “square,” “rectangle,” “line,” etc., each of which is a fuzzy set. Preference functions are then derived from the union and intersection of the fuzzy set functions, which differ between individuals as their categories differ or as they prefer objects which are prototypical, or are at the boundaries between prototypes. There is therefore wide inter-individual variability.