Geodesic
Strongly symmetric polyhedra
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 8, Tome 299 (2003), pp. 314-325

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Strongly symmetric polyhedra in $3$-space are defined and classified. 
@article{ZNSL_2003_299_a21,
     author = {V. I. Subbotin},
     title = {Strongly symmetric polyhedra},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {314--325},
     publisher = {mathdoc},
     volume = {299},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_299_a21/}
}
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V. I. Subbotin. Strongly symmetric polyhedra. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 8, Tome 299 (2003), pp. 314-325. http://geodesic.mathdoc.fr/item/ZNSL_2003_299_a21/