Synthetism held that they should not. Fauvism held that artists should paint flat, abstract decorations; Cubism, that the subject should be broken up into planes. Futurism, Orphism, Expressionism ...

abstract art can be broken down into sub-genres. Abstract expressionism à la Pollock, cubism à la Picasso and fauvism à la Matisse to name a few. Surrealism, colour field, futurism, dada and ...