In order to solve the existing texture mapping seams, avoid excessive distortions and to make the topology of the mesh compatible to the one of the texture domain, with the help PolyCube allows texture mapping for the purpose of the three-dimensional network seamlessly set up parametric texture model characterized by the introduction of PolyCube. First analysis respective characteristics to obtain the formation of methods of implementation. then use the reaction-diffusion-specific examples of the implementation of three-dimensional model on the PolyCube texture synthesis, and show the whole dynamic of the reaction-diffusion simulation. the results generated seamless portrait, and the degree of distortion is very small, to achieve the expected results. Finally a follow-up research prospects: will be closed on the three-dimensional model of reaction-diffusion texture synthesis can also be PolyCube applied to other areas, the implementation of some applications.