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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 221, Pages 104–114
DOI: https://doi.org/10.36535/0233-6723-2023-221-104-114 (Mi into1133) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On noncomposite $RR$-polyhedra of the second type

V. I. Subbotinab

a Don State Agrarian University
b South-Russian State Polytechnic University named M. I. Platov
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DOI: https://doi.org/10.36535/0233-6723-2023-221-104-114
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.
Document Type: Article
UDC: 514.172.45
MSC: 52B15
Language: Russian
Citation: V. I. Subbotin, “On noncomposite $RR$-polyhedra of the second type”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 221, VINITI, Moscow, 2023, 104–114
Citation in format AMSBIB
\Bibitem{Sub23}
\by V.~I.~Subbotin
\paper On noncomposite $RR$-polyhedra of the second type
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 221
\pages 104--114
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1133}
\crossref{https://doi.org/10.36535/0233-6723-2023-221-104-114}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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