I.K. Pour, D.J. Krajnovich, et al.
SPIE Optical Materials for High Average Power Lasers 1992
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 Π is said to be omittable if Π is free of ordinary lines of intersection - in other words, if all the lines of intersection of Π 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.
I.K. Pour, D.J. Krajnovich, et al.
SPIE Optical Materials for High Average Power Lasers 1992
Martin Charles Golumbic, Renu C. Laskar
Discrete Applied Mathematics
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997
A. Grill, B.S. Meyerson, et al.
Proceedings of SPIE 1989