Parallelepipeds circumscribed about a convex body in 3-space
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 9, Tome 329 (2005), pp. 79-87 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

It is proved that each convex body $K\subset\mathbb R^3$ of volume $V(K)$ is contained in a parallelepiped of volume $3\sqrt2\,V(K)$.
@article{ZNSL_2005_329_a6,
     author = {V. V. Makeev},
     title = {Parallelepipeds circumscribed about a~convex body in 3-space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {79--87},
     year = {2005},
     volume = {329},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_329_a6/}
}
TY  - JOUR
AU  - V. V. Makeev
TI  - Parallelepipeds circumscribed about a convex body in 3-space
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2005
SP  - 79
EP  - 87
VL  - 329
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2005_329_a6/
LA  - ru
ID  - ZNSL_2005_329_a6
ER  - 
%0 Journal Article
%A V. V. Makeev
%T Parallelepipeds circumscribed about a convex body in 3-space
%J Zapiski Nauchnykh Seminarov POMI
%D 2005
%P 79-87
%V 329
%U http://geodesic.mathdoc.fr/item/ZNSL_2005_329_a6/
%G ru
%F ZNSL_2005_329_a6
V. V. Makeev. Parallelepipeds circumscribed about a convex body in 3-space. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 9, Tome 329 (2005), pp. 79-87. http://geodesic.mathdoc.fr/item/ZNSL_2005_329_a6/

[1] A. Bielecki, K. Radziszewski, “Sur les parallélépipédes inscrits dans les corps convexes”, Ann. Univ. Mariae Curie–Sklodowska, Sect. A, 8 (1954), 101–103 | MR

[2] V. V. Makeev, “O priblizhenii trekhmernogo vypuklogo tela tsilindrami”, Algebra i analiz, 17:2 (2005), 133–144 | MR

[3] V. V. Makeev, “Affinno-vpisannye i affinno-opisannye mnogougolniki i mnogogranniki”, Zap. nauchn. semin. POMI, 231, 1995, 286–298 | MR

[4] V. V. Makeev, “O nekotorykh geometricheskikh svoistvakh vypuklykh trekhmernykh tel”, Algebra i analiz, 14:5 (2002), 96–109 | MR | Zbl