Geodesic
On noncomposite $RR$-polyhedra of the second type
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 221 (2023), pp. 104-114

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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, vertex star, noncomposite $RR$-polyhedron.
Mots-clés : rhombic vertex 
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     title = {On noncomposite $RR$-polyhedra of the second type},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {104--114},
     publisher = {mathdoc},
     volume = {221},
     year = {2023},
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V. I. Subbotin. On noncomposite $RR$-polyhedra of the second type. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 221 (2023), pp. 104-114. http://geodesic.mathdoc.fr/item/INTO_2023_221_a9/