Geodesic
On two classes of polyhedra with rhombic vertices
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 13, Tome 476 (2018), pp. 153-164

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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},
     publisher = {mathdoc},
     volume = {476},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_476_a11/}
}
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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/