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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 476, Pages 153–164
(Mi znsl6732)
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This article is cited in 5 scientific papers (total in 5 papers)
On two classes of polyhedra with rhombic vertices
V. I. Subbotin South-Russian State Polytechnic University named M. I. Platov, Novocherkassk, Russia
Abstract:
Two classes of closed convex polyhedra in $E^3$ ($RS$- and $RR$-polyhedra) are introduced; the stars of some vertices of the polyhedra under consideration consist of equal rhombi. In addition to the complete enumeration of $RS$-polytopes, the proof of the existence of two polyhedra of the class $RR$ is given.
Key words and phrases:
strongly symmetric polyhedron, rhombic vertex, mirror-rotational rotation axis, $ TE $ -transformation, $RS$ - and $RR$-polyhedra.
Received: 06.07.2018
Citation:
V. I. Subbotin, “On two classes of polyhedra with rhombic vertices”, Geometry and topology. Part 13, Zap. Nauchn. Sem. POMI, 476, POMI, St. Petersburg, 2018, 153–164
Linking options:
https://www.mathnet.ru/eng/znsl6732 https://www.mathnet.ru/eng/znsl/v476/p153
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Abstract page: | 100 | Full-text PDF : | 39 | References: | 21 |
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