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In this paper, we address the demanding task of developing intelligent systems equippedwith machine creativity that can perform design tasks automatically. The main challenge is howto model human beings creativity mathematically and mimic such creativity computationally. Wepropose a synthesis reasoning model as the underlying mechanism to simulate human beingscreative thinking when they are handling design tasks. We present the theory of the synthesisreasoning model, and the detailed procedure of designing an intelligent system based on the model.We offer a case study of an intelligent Chinese calligraphy generation system which we have developed.Based on implementation experiences of the calligraphy generation system as well as a few othersystems for solving real-world problems, we suggest a generic methodology for constructing intelligentsystems using the synthesis reasoning model.