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Repetitive practice with isomorphic math problems is crucial for mathematics education. To automate the creation of such problems at scale, recent techniques using Large Language Models(LLM) have shown promise, yet they remain unsuitable for production environments due to their failure to ensure mathematical correctness and structural consistency. To bridge this gap, we introduce the task of Isomorphic Math Problem Generation (IMPG) and propose Computational Blueprints for Isomorphic Twins (CBIT) to tackle it. In this framework, the LLM authors a reusable program that generates problems, rather than the problem text itself. Extensive experiments demonstrate that CBIT achieves mathematical accuracy, structural consistency, and efficiency. Furthermore, problems generated via CBIT shows competitive performance against those from human experts when deployed in a real-world educational setting.