A method for the formation of spatial configurations in the form of semiregular polyhedra is described. The algorithm of geometrical calculation allowing to determine the coordinates of nodes of constructive networks of polyhedral hemispherical domes, edge lengths, and the size of triangular faces is given. Spatial configurations in the form of 20-, 80-, 320-, and 1280-grannikov were obtained. The results are illustrated by two projections of the above-mentioned polyhedra. Geometrical schemes of sectorial parts of hemispherical domes on cutting of 320- and 1280-grannikov with designation of typical units and triangular panels are given.

Keywords: icosahedron, edge, face, hemisphere, duplication, sectorial part, polyhedron, dome, size, triangular panel