| As an emerging frontier science,the vigorous development of recursion theory in computer science,philosophy,art and other fields provides a clear theoretical framework for complex phenomena and helps people understand the simple causes of complex phenomena,becoming an important methodology and epistemology.This thesis attempts to use the recursion theory as a guide,to extract the rules and methods that are suitable for graphic design from mathematical logic and recursive functions,to form a rule system that can be used to guide graphic design,and to build a methodological framework between mathematical logic and graphic design.bridge.This thesis proposes a recursive theoretical model and its visual form,explains the recursive phenomenon in art design from the perspective of interdisciplinary integration,and tries to propose a methodology applied in graphic design to provide designers with possible algorithmic tools and design means.As well as experimental ideas that comprehensively use multiple methods to solve design problems.The thesis is divided into four main parts.The first part(introduction)expounds the background,purpose,significance,current situation and method of the topic selection,and clarifies the necessity and feasibility of the topic selection.The second part(Chapter 1)analyzes mathematical logic,G?del’s incompleteness theorem,recursion and its visual form,and recursive visual system.The third part(Chapter 2)analyzes the recursive theoretical model,graphic design in Gestalt psychology,recursive logic in graphic design,etc.,and studies cases at the same time.On the one hand,it studies the recursive object model and the double diamond model.,on the other hand,conduct a mathematical analysis of the excellent design cases of epidemic prevention posters.The fourth part(Chapter 3)starts from the recursive theoretical model,and analyzes the design information,determines the expression content,and integrates visual elements in turn for the epidemic prevention stories in history,and finally designs an epidemic prevention poster with a recursive visual form based on the above analysis.The design results verify the rationality of this paper,and provide scientific theoretical research and case reference for the future application of the recursive theoretical model to the creative activities of graphic design and the field of art design. |