Domical structure

Claim 1

A roof for a domical structure comprising: a plurality of scalene triangular panels, interconnected along their peripheries to form a domically shaped roof, each of said panels comprising three curved triangles formed in the corners of each curved triangular sector and interconnected by an interior plane triangle and bent in different directions along the interconnection of each curved triangle with the plane triangle to form a plurality of singly curved surfaces, each of said panels positioned adjacent to the edge of an adjoining panel to form a mirror image of the other and comprising a pair, each panel of each pair being interconnected with its mirror image of another panel of a juxtapositioned pair of said panels, and the interconnection between adjacent panels lying substantially along arcs of great circles of the domical structure and forming the framework of the structure, said panels overlapping to form said interconnection between adjacent panels, said roof comprising a structure formed only from edge to edge connected planar panels, and being free of other supporting framework.

Claim 3

A method of forming a roof for a spherical structure from a plurality of scalene spherical triangular panels the sides of which form arcs of great circles comprising the steps of: forming a plurality of pairs of originally flat plane triangular surfaces each pair having substantially the same area, bending said plane triangular surfaces along bend lines formed by bases of curved triangles one formed in each of the corners of said triangular surfaces to form a plurality of singly curved surfaces surrounding an interior plane triangle, said bends forming the sides of said interior plane triangle and being sufficient to cause the edges of each of said curved surfaces to substantially conform to a scalene spherical triangular panel, and overlapping edges of adjacent panels to form parallel great circle arcs, connecting each panel of each pair with the mirror image of a juxtapositioned pair of said panels along arcs of great circles of the spherical structure, thereby forming the framework of the spherical structure by said interconnection.

Claim 4

A method of forming a roof for a spherical structure from a plurality of scalene spherical triangular panels the sides of which form arcs of great circles comprising the steps of: forming a plurality of pairs of originally flat plane triangular surfaces each pair having substantially the same area, bending said plane triangular surfaces along bend lines formed by bases of curved triangles one formed in each of the corners of said triangular surfaces to form a plurality of singly curved surfaces surrounding an interior plane triangle, said bends forming the sides of said interior plane triangle and being sufficient to cause the edges of each of said curved surfaces to substantially conform to a scalene spherical triangular panel, and overlapping edges of adjacent panels to form parallel great circle arcs, connecting each panel of each pair with the mirror image of a juxtapositioned pair of said panels along arcs of great circles of the spherical structure, thereby forming the framework of the spherical structure by said interconnection.