The mentality of Kazimir Malevich, Vladimir Tatlin, Kandinsky, Aleksander Rodchenko, Olga Rozanova, Varvara Stepanova, Nadezhda Udaltsova and other representatives of the Russian avant-garde was formed under the influence of different types of anarchism. In turn, Malevich, Rodchenko, Rozanova, Tatlin, Udaltsov had a great influence on the theory and practice of the (post-)revolutionary anarchism. From September 1917 to July 1918 in the pages of the newspaper «Anarchy» came out of their manifestos and declarations. The first artist, tried by means of visual arts to develop a model of anarchism was Malevich. His «Black Square» is marked, with the transition to non-objective art, to represent the shape of the destruction of «things» and the form of the destruction of statehood. In 1920–1930, after Malevich, Alexander Rodchenko and Varvara Stepanova developed a visual model of anarchist society, the gap state myth.