In this article, the author describes a study that proposes the use of cellular automata (CA) as a useful tool for a creative pattern-generating art system. A one-rule firing CA is used to efficiently represent basic CA patterns. The key idea in this method is to mix basic patterns in order to design complex patterns. Two types of mixing—iterative and hierarchical—are introduced. The results are demonstrated through example patterns, including ornamental and tiling patterns. The concept of an expanded neighborhood is introduced and applied to the generation of flower-like images. The author concludes with several suggestions for future research topics in relation to the proposed method.