The Method of Secondary Grid Deformation

Abstract

The type of spherical grid plays a significant role in dome coverings realized as bar constructions. Triangular spherical grids should resemble the sphere surface as far as possible. For technological reasons the grid should be formed of the lowest number of edges of different lengths. The range of the necessary changes in the edge lengths should be as low as possible. It would be advantageous to have a grid consisting of the lowest number of triangular faces included between the grid segments. This paper presents a method which makes it possible to determine relatively regular spherical grids. The examples of the dimension relations of triangular spherical grids determined by this method on the basis of the selected group of regular polyhedrons were provided. The characteristics of the polyhedrons of a great number of faces, obtained in this way, were also given. In this paper is shown only the basic shape of the method of secondary grid deformation.

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