Shaping Innovative Forms of Buildings Roofed with Corrugated Hyperbolic Paraboloid Sheeting

The aim is to propose an innovative method of shaping free original building forms roofed with profiled sheeting transformed effectively from plane into shell shapes. The effectiveness of the transformation consists in effective twisting of each fold, so its effort is minimized. In addition, a contraction of each shell sheeting passes crosswise fold's directions through halves of the shell folds. The effort of the subsequent folds in the shell is controlled by means of auxiliary tetrahedrons making it possible to adopt a mutual position and curvature of two skew lines supporting the sheeting. The way of the shape integration of the shell roof and oblique elevations in the building form as well as its natural and built environments is considered. the way may be used for creating spatial network determining a complex shell roof and a system of folded oblique plane-walled elevations integrated with each other and the built and natural environments.