V. I. Subbotin, “On noncomposite <nobr>$RR$</nobr>-polyhedra of the second type”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023, Volume 221,Pages <nobr>104

This article is cited in 1 paper

On noncomposite $RR$-polyhedra of the second type

V. I. Subbotin^ab

^a Don State Agrarian University
^b South-Russian State Polytechnic University named M. I. Platov

Abstract: The problem of the existence of one class of closed convex polyhedra in $E^3$—the so-called noncomposite $RR$-polyhedra—is examined. The existence test consists of finding an equation which implies the existence of a polyhedron and allows one to find the angle of rhombuses at a rhombic vertex.

Keywords: $RR$-polyhedron of the second type, rhombic vertex, vertex star, noncomposite $RR$-polyhedron.

UDC: 514.172.45

MSC: 52B15

DOI: 10.36535/0233-6723-2023-221-104-114