From the very beginning painting and all the other forms of art bases on geometry. Mostly it is found in architecture, but is also a base for every drawing, painting or a statue. This is why art is closely connected to mathematics. It uses numbers and especially geometry. In painting it is used as a base for a composition and is found in form of a perspective, golden ratio, musical consonances, rule of thirds ... or can also show in forms of geometric shapes, such as circle, triangle, square or an ellipse. The question that appears is, where this geometry pops up and where it hides in a painting. Indeed some paintings are based on geometry what shows also on their surface (for example Piet Mondrian), the others are again based on geometry, but their surface structure shows as very abstract (for example De Kooning), whereas the third look like geometric paintings, but their depth does not hide anything of a geometry and is actually quite simple and the structures on the painting's surface put in no order (for example Kazimir Malevich). Therefore we can distinguish between depth and surface geometry in painting and how a composition, dictated by depth geometry, shows up on the surface of the painting in form of surface geometry.
|