In modern architecture it was found a widespread use of curvilinear surfaces which may be used as coverage of buildings and structures. A variety of forms of architectural objects can be achieved by changing the geometry of discrete models, which describes these surfaces, among these surfaces the paraboloids are describing the internal geometry of the objects fullest possibly. Using of algebraic surfaces of parabolic type, discrete analogues of which are balanced grid, will increase the capacity static-geometric method (SGM). The basic idea of the static-geometric method of forming discrete skeletons surfaces is the discrete mesh of arbitrary shape will be presented as balanced by the action of external forces the nodes and grid rods. In this paper we consider the geometric and static properties of symmetric paraboloids he order of which will be and section of the paraboloid in the horizontal plane (Z=0) split into n lines. Surfaces which have what geometric properties can be used for conceptual design curvilinear surfaces in architecture.