The socio-cultural dimensions of the creative act is analysed by a mathematical model considering that the creative act is a mimes mutation as a result of an accumulation of evidences. So the mimes complex of a socio-cultural niche is changed explosively if given conditions which are mathematically determined, are accomplished. The equation determining the sociocultural dimensions of creativity is established and its solutions, are discussed.
It is shown that characterizing the creative activity by the aha! concept the creative processes can be described as singular points of a smooth surface. The cusp catastrophe from the theory of RenéThom is used to describe and to estimate quantitatively the creative process. The behaviour parameter is the flux of empirical laws and the control parameters are the experimental and the theoretical effort. The theoretical effort is the bifurcation parameter.