| Currently, the society is in a new era with rapid development and integration of information. Globalization is resulting in a multiple situation of collision and intersection among regions. And the emergence of the trend of imitating “Western modernity†blindly. As a classic means, which assist in architectural design, the development of Euclidean geometry has been showing a trend of stagnation. And it had suffered the impact of emerging geometry. "Architectural Geometry" is proposed basing on the concept of non-Euclidean geometry. The object of researching and application is nonlinear geometric space. Architect have paid more attention on computing technology of modern geometric, which cause the importance of Euclidean geometry in architecture be affected. As a classic geometric, Euclidean geometry has played a crucial role in the development of architecture. We should not lightly abandon it, and we should to excavate the deeper meaning.From the origins of geometry and the application and development of geometry in the field of architecture, the paper has discussed the construction of architectures in the space order of Euclidean geometry. “Architectural typology†is the carrier of inheriting the culture and history. It is able to interpret the relationship among history, rational and modern aesthetics.Combined with Euclidean geometry and architecture typology, regional and diversity can be preserved in architectural design basing on the “Modernityâ€. Through the research, people can get a clear understanding of the development of urban architecture at present. |