This paper tries to identify the creative processes of Generative Art that brings to the construction of dynamic procedures of transformation, generative algorithms, by departing from interpretative logics. This structure becomes possible through a proactive approach to Geometry. In fact, overcoming the logic of the figures and related rules, this approach opens to the logic of the progressive processes and the dynamics of transformation inside the geometric space. This dynamic use of Geometry can be performed crossing the revolution operated by Brunelleschi, by Piero Della Francesca and Leonardo da Vinci again. This Renaissance revolution funds on the convergence of Art and Science and the discovery of the Perspective Logic.