The pursuit of order is an innate human instinct, and incorporating non-ordered graphic elements in visual communication design is a key method to create visual focus and break through the limitations of a single visual pattern. Innovations in generative non-ordered graphic technology allow for the exploration of new paradigms in graphic design within the visual communication field. Based on the principles of order in decorative arts, a system for evaluating non-ordered graphics was constructed. By combining computer code generation with interactive algorithms and dynamic graphic generation engines, a personalized creation method for non-ordered graphics was proposed. The developed system was applied in multiple design cases, demonstrating its effectiveness and retaining the visual characteristics of non-order while avoiding disorder. Through code generation technology, the application of generative non-ordered graphics in visual communication design is realized, breaking through traditional design thinking and offering a new methodology for visual communication design.