Abstract:
Morphology is a new basic theoretical subject created in recent years. The architectural design naturally has the "priority of morphology" as a modeling art developed from design concept for moulding substance shape and space. Mathematics is also a kind of culture, and geometry is the best language describing the natural phenomenon and rule. The thought and method of contemporary architectural modeling are breaking through the constraint of traditional concept of Euclidean space, and it starts creating with manifold. This paper discusses the geometric modeling of immersion of classical 2D non-orientable manifold in
E3 from the perspective of geometry. The creations of several classical digital building forms at home and abroad are analyzed, and it also provides the 3D demonstration on Rhino platform by NURBS technology. It focuses on presenting the immersions of various classical
Klein bottle and real projection plane in
E3.