Geodesic
Intersection of plane boundaries of a polytope with acute angles
Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 521-527

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the planes of nonadjacent faces of a polytope with angles not exceeding $90^\circ$ cannot intersect. It is also proved that the dimension of the intersection of any set of hyperplanes is equal to the maximum dimension of a boundary lying in this intersection. 
@article{MZM_1970_8_4_a11,
     author = {E. M. Andreev},
     title = {Intersection of plane boundaries of a polytope with acute angles},
     journal = {Matemati\v{c}eskie zametki},
     pages = {521--527},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a11/}
}
TY  - JOUR
AU  - E. M. Andreev
TI  - Intersection of plane boundaries of a polytope with acute angles
JO  - Matematičeskie zametki
PY  - 1970
SP  - 521
EP  - 527
VL  - 8
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a11/
LA  - ru
ID  - MZM_1970_8_4_a11
ER  - 
%0 Journal Article
%A E. M. Andreev
%T Intersection of plane boundaries of a polytope with acute angles
%J Matematičeskie zametki
%D 1970
%P 521-527
%V 8
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a11/
%G ru
%F MZM_1970_8_4_a11
E. M. Andreev. Intersection of plane boundaries of a polytope with acute angles. Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 521-527. http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a11/