Umbrella-Type Surfaces in Architecture of Spatial Structures

This paper provides information on the 16 new umbrella-type surfaces and on two umbrella surfaces from the identical parts of translational surface, formed by a generating circle of constant radius, using methods of differential geometry and computer graphics. Parametrical equations of the surfaces are presented and the influence of constant parameters containing in the equations of these surfaces on their form is studied in detail. All surfaces are pictured by means of computer graphics. Architecture can be a main sphere of their application.