Abstract: It expounds the iterative function systms (it is called IFS for short) theory and the deterministic algorithm. A series of the fractal IFS attractors are simulated by utilizing the computer. The changing regularity of the IFS attractors are discussed when the control parameters are changed, and the fractal dimension of some attractors are reached by the theorem about the fractal dimension of the IFS attractor.

Key words: iterative function systems, deterministic algorithm, fractal