Abstract: A method for constructing a multi-edged shell surface using elongated strips of wood or other materials. The positioning of the strips and the shaping of the ends of the strips are defined by a procedure employing circumscribed cones.

Abstract: A domical structure is provided in concert with, and as an embodiment of, a novel means for subdividing the spherical surface into spherical triangles which are appropriate as constructional elements. The method of subdivision permits a high degree of standardization in terms of limiting the number of different elements utilized and it results in element proportions and dimensions which allow the most efficient utilization of standard construction materials.

Abstract: This improved domical structure is constructed of scalene triangular panels secured together along great circle arcs formed by the overlapping edges of the panels. Because of the reinforcing action of the great circle panel overlap, the structure requires no supporting framework.

Abstract: This disclosure describes an improved concept for using flat sheathing materials to construct the curved roof of a domical structure with the underlying dome frame and the shape of the roof panels designed to permit originally flat sheathing material to be curved in different directions. Thus, a single flat sheet of sheathing material may contain several different curved surfaces, improving the appearance and the shell effect of the roof and increasing the strength and economic efficiency of the domical structure.

Abstract: This disclosure describes an improved prefabricated domical structure employing connected arches and beams having an interlocking truss-type configuration. Tensional rods secure the footings of the primary arches of the structure. The skeletal structure can either be covered with a draped, initially flexible sheating material which acts in tension between the arches, or by a curved surface shell which adds overall strength to the entire structure.