PURPOSE: A geometric solution for parametric design is disclosed is to minimize the numerical instability in designing CAD models by concentrating on the constructive approach and the numerical approach. CONSTITUTION: A parametric design's geometric solution method is composed of graph generation(100), construction plan generation(200), plan evaluation(300), and model modification(400). The CAD model input(11), based on geometric entities and constraints is processed by supervised input(c1)(100). A new graph is generated and processed through (11), (c1), second supervised input(c2), graph reduction and classification(M2), rule reasoning method(M1) and results in the creation and classification of design history(200). Design history is then processed by (11), (c1), (M1), and cluster analysis algorithm (M3), and the evaluation of system and output of variable model design is made(300). Based on the (300)'s variable model design, a new measurement and constraints is created by API calls system and evaluated by (300), and a new variable model design is created.
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