The Geometric Attributes of Paintings

Abstract

Within a painting, two forms of geometry can be identified: 2D and 3D. 2D geometry is defined by such things as the corner, the centre, the edge and the middle. 3D geometry is defined as simplified planes, such as foreground, middle ground and background and is particularly important in enhancing the depth of a landscape painting. These geometries function as structural scaffolding around which the painter builds their contrasts. The composition of a painting is covered by its 2D geometry. We examine the rule of thirds which, through an examination of its history, is shown to be more complex and interesting than its current form. We also look at the placement of the region of interest and of the horizon and find them to be governed by simple principles. A photographer’s vignette is simple: a darkening of the edges and corners, and perhaps also a lightening of the centre. In contrast, a painter’s vignette is complex and involves interplay between the 2D and 3D geometries of the painting.