Classification and Characteristics of Taihu Lake Stone Spatial Forms in Jiangnan Traditional Gardens Based on Topological Theory

Taihu Lake Stone is a crucial element in Chinese classical gardens, renowned for its qualities of "thinness, wrinkles, porosity, and permeability," which set the standard for traditional aesthetics. By skillfully utilizing the form, lines, and color of Taihu Lake rocks, the beauty of nature is perfectly integrated with human artistry. At the same time, the spatial configuration of landscape Taihu Lake rocks plays a significant role in the design of traditional Jiangnan gardens. They are not merely objects of appreciation but also, through their combination with other landscape elements such as water and plants, shape the spatial layers and visual effects of the garden. Thus, the spatial form of landscape Taihu Lake rocks holds significant research value. This study employs fractal geometry and topological theory to analyze the spatial topological relationships of different types of landscape Taihu Lake rocks in traditional gardens, focusing on surface structure, pore distribution, connection and isolation, aggregation and dispersion, and boundary contours. It examines the spatial variation of topological indicators of landscape Taihu Lake rocks in gardens across different regions, clarifying the distinct spatial topological characteristics of these rocks in various regional gardens. The aim is to provide new research perspectives and data support for the landscape construction of traditional Jiangnan gardens.