Abstract: A reseach is made into the fractals and fractal dimensions of a dynamic economy system dX i/dt=f i(X 1,X 2,…,X n), from which the allometric relationship,X i∝X α ij j,is derived as a dynamic similarity model, where X iandX jare some kind of measurements of the ith and jth elements of the system given,α ij =(dX i/(X idt))/(dX j/(X jdt))=D i/D j,is the scaling factor, in this expression D i is the general dimension of X i and D j dimension of X i. On the other hand, on the c...