Measurement of Spatial Openness of Indoor Space Using 3D Isovists Methods and Fibonacci Lattices

The measurement of spatial openness in three dimensions has gained much popularity for recent years because it is helpful both in architecture theory research and actual design practices. Traditional tools have been developed to solve related problems but they have various limitations. In this paper, based on the 3D isovists theory, we propose a new index called spatial openness degree index (SODI). First, the paper introduces a feasible discrete sampling and computing method for the index. Second, the index is applied in several simple spatial configurations and one actual architecture case to verify its effectiveness. The new index has good adaptability to complex spatial environment, and it proves closely related to architectural factors such as openings. The study has the potential to make contributions to the development of quantitative spatial assessment system and the establishment of rational design criteria in practical design process.