Geodesic
Equipartitioning of a convex body by a system of cones and inscribed polytopes
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 13, Tome 476 (2018), pp. 125-130

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Two new theorems are proved about equipartitionings of a convex body by a system of cones with common vertex. Limit cases of these theorems yield some previously known theorems about polytopes inscribed in a convex body. 
@article{ZNSL_2018_476_a7,
     author = {V. V. Makeev and N. Yu. Netsvetaev},
     title = {Equipartitioning of a convex body by a system of cones and inscribed polytopes},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {125--130},
     publisher = {mathdoc},
     volume = {476},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_476_a7/}
}
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V. V. Makeev; N. Yu. Netsvetaev. Equipartitioning of a convex body by a system of cones and inscribed polytopes. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 13, Tome 476 (2018), pp. 125-130. http://geodesic.mathdoc.fr/item/ZNSL_2018_476_a7/