On defects of polyhedra isometric on sections at vertices
Fayzulla TopvoldiyevFergana state university, 19, Murabbiylar str., Fergana 150100, UzbekistanAnvarjon SharipovBranch of National Research Nuclear University MEPhI in Tashkent, 1, Khuroson str., Tashkent 100214, Uzbekistan
ABI
Abstract
In this paper, we study convex polyhedra that are uniquely projected onto the XOY plane and one of the edges is perpendicular to vector e→(OX), but do not have support planes perpendicular to vector e→(OX), and it is shown that the conditional total angle of such polyhedral angles is bounded. This conditional full angle is shown to be invariant with respect to a given linear transformation with a non-orthogonal and non-symmetric matrix, but whose determinant is equal to one.