earticle

영어

Topology provides a new approach to understanding contemporary architecture from a perspective different from Euclidean geometry. For this purpose, concepts such as homeomorphism, topological space, continuous deformation, and the Möbius band are particularly important. This allows for a topological intervention in architecture through the application of the concept of 'folding' to explain the relationships and positions of spaces. Until now, topology has been applied without distinction between formal and informal architecture. However, the spatial structure of three-dimensional curved surfaces allows for more effective analysis when approached topologically. Therefore, topological concepts become more suitable tools for grasping the structures of informal architecture. This paper explores the potential of appropriating topological geometry architecturally by analyzing the Möbius House as a case of 'homeomorphism' and the Kunsthal as a case of the topological operation 'piercing.' Subsequently, it conducts a comprehensive analysis of the topological spaces of the Yokohama International Terminal and the Mercedes-Benz Museum, presenting topological geometry as a medium for research in informal architecture. Additionally, it emphasizes the necessity for topological architectural research to connect with the horizons of the mobility paradigm, which has recently gained more attention.