This paper describes the generation and rendering of three-dimensional (3D) surface cellular automata (CA). Our model’s main advantage is that it gives direct texturing simulation based on the actual shape of anytriangulated input object. We first introduce general CA concepts and summarize works in the literature. We then describe our 3D surface CA method, emphasizing how it avoids potential problems in data structure and rendering steps. We then detail, two examples of specific 3D surface CA with their respective cell structures and corresponding computer graphics images.