The Application Of Topology In Contemporary Architectural Form And Space Creation

With the continuous development of modern architectural science and culture, architectural creation under traditional thinking can no longer meet the needs of esthetics and application for modern people. As a branch of elementary mathematics, topology has gradually penetrated into the architectural field and played its own role with whole new geometry and way of thinking, so architectural topologization has become one of the trends in modern architectural development. This paper tries to analyze the influences and applications of the topological concept and model in modern architectural form and space from the perspective of mathematics and architecture, so as to seek the theoretical root of topological architectural creation, conclude the hidden scientific and cultural basis, thus understanding topological architecture from theory and practice. This paper is mainly divided into four parts:First part: mainly introduces the development background of research subject, and determines the object of the study, which refers to the application of topology in contemporary architectural form and space creation. Meanwhile, it proposes the purpose and significance of the research.Part two: introduces the development process of topology and the topologization trend of modern architecture. It also discusses about the scientific basis of architectural topology, mainly focusing on the application and influence of mathematics, computer science & technology, complex science and chaos theory in architecture.Part three: mainly discusses about the application of topology in the creation of modern architectural appearance. Moreover, it illustrates the logics and type of architectural topological deformation, as well as the application of classical models (The Mobius strip and Klein bottle) and concept (manifold, knot, isotopic, etc.) in creating the form of architectures.Part four: mainly emphasizes the application of topological concept about space in the space creation for modern architecture. It combines the concept of space in topology with real architectural space, including the application of topological spatial perspective (spatial concept of"aperture"and"hole"), topological spatial concept (quotient space, phase space, etc.) in architectural creation. Besides, it also analyzes the characteristics of topological space in architecture.