Domical-type structure

Claim 1

A circular domical type structure constructed from four basic triangular, rigid structural units A, B, C and D, wherein each structural unit is an isosceles triangle having a predetermined desired thickness, a planar outer surface, an inner surface, and predetermined dimensional lengths for the equal and third sides, and wherein each of said equal and third sides of said triangular unit have a predetermined acute edge angle as measured inwardly from the plane of said outer surface; said four basic units being interrelated in their respective dimensional side lengths and acute side edge angles; said units A, B, C and D each having the following dimensional side lengths: a. units A, B, and C have lengths E on their equal sides, b. unit A has third side length F, unit B has third side length G, units C and D have third side length H, and unit D has length I on its equal sides; said units A, B, C and D each having the following acute side edge angles: c. units A and B have edge angles X on all three sides and unit C has edge angle X on the equal sides; d. units C and D have edge angles Y on the third sides, e. unit D has edge angle Z on its equal sides; said structure comprising a first circular tier of substantially perpendicular alternating upright and inverted A units, wherein said equal sides E of said alternating upright and inverted A units abut and mate with each other along said equal side edge angles X of each unit thereof, and said outer planar surfaces of each of said alternating units cant inwardly and outwardly; an inwardly canted, second circular tier of alternating upright A units and inverted B units, wherein said third sides F of upright A units of said second tier abut and mate with said third sides F of said inverted A units of said first tier along said third side edge angles X of each unit thereof, and wherein said equal sides E of said upright A units abut and mate with said equal sides E of said inverted B units along said equal side edge angles X of each unit thereof; an inwardly canted third circular tier of alternating upright B units and inverted C units, wherein said third sides G of said upright B units abut and mate with said third sides G of said inverted B units of said second tier along said third side edge angles X of each unit thereof, and wherein said equal sides E of said upright B units abut and mate with said equal sides E of said inverted C units along said equal side edge angles X of each unit thereof; an inwardly canted fourth circular tier of upright D units which form a conical top for said structure and which abut and mate with said inverted C units of said third tier along said third side H and said third side edge angles Y of each unit thereof, and wherein said equal sides I of said upright D units abut and mate with adjacent equal sides I and equal side edge angles Z of each unit thereof; said edge angle X and the number of said A units in said first circular tier are determined by the selected radius of the basic of said structure and the selected dimensional third side lengths F of the A units; said structure having a center height which is less than the radius of said first circular tier of structural A units, wherein said center height is determined by the selected dimensional equal side length E and the selected side edge angle Y; said edge angle Y being determinant of said inward cantation of said fourth tier of D units, whereby said edge angle Y is selected to obtain a desired inward cant which produces a center height which is less than the radius of said first circular tier of structural A units.