The article is devoted to the development of new forms of work with experimental, mathematical, geometrical compositions of Master’s students at art higher education institutions. It is claimed that science and art (art practices, design, architecture) develop the knowledge of what could be if we did not exist – and that this procedure is connected with what makes its originality: mathematisation and geometrisation of nature. Mathematisation of the world carries the possibility of understanding the world, which became more indifferent to human existence and knowledge than ever. Respectively, the author believes that any mathematical art statement is capable to formulate the absolutised possible, at least as a hypothesis or experiment. 

Key words: modern geometrical practice, hypothesis, experiment, world mathematisation, correlationism, experimental art, possible.