Spatial Distribution Patterns of Urban Historic Building Groups Combined with Algebraic Geometry and Their Planning and Design Strategies Research

Six historical building clusters in the main city of Changchun, namely People's Street, Xinmin Street, the Palace of the Forged Manchus, the South Square, the First Automobile Manufacturing Plant, and the Kuanchengzi Station of the Middle East Railway, with a total of 2,501 historical building sites, are taken as the research objects.Using ArcGIS software, the morphology and spatial distribution pattern of the historic building clusters in the main city are discussed based on the perspective of spatial layout by invoking spatial measurement methods such as kernel density, standard deviation ellipse, algebraic geometry, and spatial correlation, etc.The results are summarized in the following table.The results show that the spatial distribution of historic buildings in the main city of Changchun is dominated by a "single center (People's Square)" agglomeration, with a maximum kernel density of 0.9950.At the same time, the periphery also appeared to diffuse re-agglomeration, hierarchically showing a "twoaxis" diffusion pattern.Among them, the main axis resides in the center of the city and extends infinitely from north to south.The secondary axis is the administrative office and center of the pseudo-Manchukuo State, which is the pseudo-Manchu Imperial Palace and Xinmin Street respectively.Finally, from the perspective of planning and design, it tries to put forward the strategy of protection and utilization, including environment, function, and culture, etc., to provide methods and bases for the holistic protection and utilization of Changchun's historical buildings.