Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences


In this paper, we study the development of a polyhedron in the Galilean space. A development of a polyhedron is an isometric mapping of a polyhedron to a plane, in which the gluing sides are indicated. Since the motion of the Galilean space differs significantly from the motion of the Euclidean space, the development of a polyhedron of the Galilean space will also differ from the development of a polyhedron of the Euclidean space. We prove that the total angle around the vertex of the polyhedral angle is preserved in the development. We also give illustrations of the developments for a triangle and tetrahedron on the plane in the Galilean space.

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