Geodesic
Omittable planes
The electronic journal of combinatorics, Tome 18 (2011) no. 1

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl
In analogy to omittable lines in the plane, we initiate the study of omittable planes in $3$-space. Given a collection of $n$ planes in real projective $3$-space, a plane $\Pi$ is said to be omittable if $\Pi$ is free of ordinary lines of intersection – in other words, if all the lines of intersection of $\Pi$ with other planes from the collection come at the intersection of three or more planes. We provide two infinite families of planes yielding omittable planes in either a pencil or near-pencil, together with examples having between three and seven omittable planes, examples that we call "sporadic," which do not fit into either of the two infinite families.
DOI : 10.37236/662
Classification : 52C35
Mots-clés : omittable planes, aggregate, arrangement 
Branko Grünbaum; Jonathan Lenchner. Omittable planes. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/662
@article{10_37236_662,
     author = {Branko Gr\"unbaum and Jonathan Lenchner},
     title = {Omittable planes},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/662},
     zbl = {1230.52032},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/662/}
}
TY  - JOUR
AU  - Branko Grünbaum
AU  - Jonathan Lenchner
TI  - Omittable planes
JO  - The electronic journal of combinatorics
PY  - 2011
VL  - 18
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/662/
DO  - 10.37236/662
ID  - 10_37236_662
ER  - 
%0 Journal Article
%A Branko Grünbaum
%A Jonathan Lenchner
%T Omittable planes
%J The electronic journal of combinatorics
%D 2011
%V 18
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/662/
%R 10.37236/662
%F 10_37236_662

Cité par Sources :