Free planes in lattice sphere packings

Details Free planes in lattice sphere packings Free planes in lattice sphere packings

2003-08-11

arxiv.org/abs/math/0308098v1

Mathematics

Metric Geometry

7 pages

Scientific paper

We show that for every lattice packing of $n$-dimensional spheres there
exists an $(n/\log_2(n))$-dimensional affine plane which does not meet any of
the spheres in their interior, provided $n$ is large enough. Such an affine
plane is called a free plane and our result improves on former bounds.

Affiliated with

Also associated with

No associations

Rating

Free planes in lattice sphere packings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Free planes in lattice sphere packings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free planes in lattice sphere packings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-694837