Fengshui pagodas are one of the predominant types of ancient Chinese pagodas, possessing architectural, cultural, educational, and folkloric research value; their form serves as a central vehicle for the study of cultural relics and architectural styles. Currently, academic research relies solely on architectural proportions to deduce structural components, and there is a lack of research into the implicit mathematical logic underlying the pagoda’s structure; both research methods and mathematical analysis have shortcomings. This study abstracts the standard geometric forms of the Pagoda body, constructs a system of mathematical equations using parametric geometry, and verifies the effectiveness of this method through cross-validation experiments on samples. All data sources consist of precise, field-surveyed architectural measurements. The results indicate that the parametric geometry method is suitable for the quantitative study of feng shui pagodas in northeastern Sichuan, offering greater precision than traditional methods and clarifying the mathematical relationships underlying their architectural forms. This study innovates the mathematical modeling of ancient pagoda forms, breaking through traditional approaches to feng shui pagoda research, and provides a scientific framework for tracing the origins of Qing Dynasty pavilion-style feng shui pagodas and for mathematical research on similar ancient structures.
Qiu et al. (Fri,) studied this question.