A method of constructing spherical enclosures and tubular corridors providing the steps of:
- a.) providing a plurality of hollow polygonal frustums including frustums that are hollow hexagonal frustums and hollow pentagonal frustums and hollow tri-angular frustums with dimensions chosen, assembling and fastening together the plurality of hollow polygonal frustums to form larger hexagonal and larger pentagonal frustums:
- b.) repeating the above steps until a desired lower level of said hollow hexagonal and said hollow pentagonal frustums is obtained and where the individual frustums are cast such that each side surface of each hollow frustum forms a structural assemblage;
- c) wherein said step of assembling and fastening said polygonal frustums produces a structural assemblage;
- said structural assemblage having two joining surfaces forming a flush join for the entire length and the entire width of each of the joining surfaces and where the said hollow frustums are fastened together using bolts that protrude through each flush joining side surface of each said hollow frustum in the network of flush joining surfaces and where such flush joining surfaces are made possible by an angle of taper of the outer side surfaces of said hollow frustums wherein said polygonal frustums of each structural assemblage are combined individually;
- d) and wherein the polygonal frustums of said structural assemblage have the angle of taper which is the angle by which the side surfaces joining an inner base and an outer base of a frustum slant away from the plane perpindicular to a plane of the outer base of the hollow frustum whereby for a spherical enclosure or tubular corridor;
- said angle of taper for said hollow hexagonal pyramidal frustum as a function of the level is 36/(2a) degrees, and whereby;
- said angle of taper for said hollow pentagonal pyramidal frustum as a function of the level is 36/(3a-1)*(2) degrees;
- where a is the level and;
- where the term level relates to the process of frequency subdivision of a polyhedron such that the so formed level of the spherical enclosure or tubular corridor refers to and is determined by the number of smaller hollow frustums contained within a boundary of a largest hexagonal or pentagonal frustum in the spherical enclosure or tubular corridor where a lower level formation of the Geodesic skeleton signifies a higher frequency subdivision of the largest frustums and where the terms desired level or desired lower level refer to and form part of the design selection criteria and are determined by;
- (i) the material of which the hollow frustums are made from;
- (ii) the dimensions of the largest level hollow pyramidal frustums;
- and
- (iii) the anticipated wind velocities impacting upon the structure to tear the structure apart ;
- where the resulting assemblage of said hollow polygonal frustums are defined as a Geodesic Honeycomb Skeleton.