On two classes of polyhedra with rhombic vertices
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 13, Tome 476 (2018), pp. 153-164
Voir la notice du chapitre de livre
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.
@article{ZNSL_2018_476_a11,
author = {V. I. Subbotin},
title = {On two classes of polyhedra with rhombic vertices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {153--164},
year = {2018},
volume = {476},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_476_a11/}
}
V. I. Subbotin. On two classes of polyhedra with rhombic vertices. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 13, Tome 476 (2018), pp. 153-164. http://geodesic.mathdoc.fr/item/ZNSL_2018_476_a11/
[1] H. S. M. Coxeter, Regular Polytopes, Dover, N. Y., 1973 | MR
[2] P. R. Cromwell, Polyhedra, Cambridge University Press, Cambridge, 1997 | MR | Zbl
[3] V. A. Zalgaller, “Vypuklye mnogogranniki s pravilnymi granyami”, Zap. nauchn. semin. LOMI, 2, 1967, 5–221
[4] V. I. Subbotin, “Ob odnom klasse silno simmetrichnykh mnogogrannikov”, Chebyshevskii sbornik, 17:4 (2016), 132–140 | DOI | MR | Zbl
[5] G. M. Tsigler, Teoriya mnogogrannikov, MTsNMO, M., 2014