Abstract
AbstractOne of the methods of formation of geometric networks of arches of the same radius using regular spherical polyhedra is Investigated. The solution of one variant of the problem of placing the network on a spherical icosahedron and, accordingly, on a sphere is given. The placement on the sphere of arches of one radius, different from the placement of the meridians, has an effective solution in the form of a network with the minimum size of the arch segments and with nodes of two intersecting arches, formed on the basis of circles of the same radius, formed on the basis of regular spherical polyhedra. Several variants of structures with a given form of loss of overall stability of domes from paired arches of the same radius are presented.KeywordsPrecast spherical domArchGeometric networkDescribed circleRegular spherical polyhedronCuttingDomeCoatingOptimizationConstructionTechnology
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