几何数理角度下中西方建筑比例关系比较研究

A Comparative Study of the Proportional Relations between Chinese and Western Architectures from the Perspective of Geometrical Mathematical

方圆、黄金段形式与"数"理关系共同作用下的整体结构和比例尺度影响着对建筑形式美的认知。通过比较中西方建筑平立面几何关系在意识形态来源的认知共性;结合实际案例分析中西方√2、√3/2比例与1.4倍/1.6倍矩形比例在场地感知和空间体验的作用,比较各自在建造数理转化中的优势;考虑到当代建造的模数关系,在平面几何关系上,重点将中式一丈模数与西方网格法进行差异性比较,立面几何关系通过中式压白、材栔组合对西方矩形对角比例关系进行灵活性补充,形成能够适用于当代轴网模数比例关系的建筑平立面几何关系汇总。文章为既有或传统建筑原有比例关系分析提供了理论依据,同时也为当代新建筑对既有或传统建筑的形式延续提供了思路。

The overall structure and scale of scale under the joint action of the square and gold segments and the"number"theory influence the perception of the beauty of architectural form.By comparing the cognitive commonality of the geometric relationship between Chinese and Western architectures in the façade;combining the actual case analysis,the role of Western√2,√3/2 ratio and 1.4 times/1.6 times rectangular ratio in the field perception and spatial experience Comparing the advantages of each in the construction of mathematical transformation;considering the modulus relationship of contemporary construction,in the plane geometric relationship,the emphasis is on comparing the difference between the Chinese model and the Western grid method,and the geometry of the facade is passed through the Chinese version.The combination of white and concrete combines the flexibility of the diagonal relationship of the western rectangle to form a summary of the geometric relationship of the building's flat surfaces that can be applied to the contemporary shaft modulus.It provides a theoretical basis for the analysis of the original proportional relationship of existing or traditional buildings,and also provides ideas for the continuation of existing or traditional buildings in contemporary new buildings.