Perfect Delaunay Polytopes in Low Dimensions

Details Perfect Delaunay Polytopes in Low Dimensions Perfect Delaunay Polytopes in Low Dimensions

2007-02-06

arxiv.org/abs/math/0702136v1

Mathematics

Metric Geometry

44 pages

Scientific paper

A lattice Delaunay polytope is known as perfect if the only ellipsoid, that can be circumscribed about it, is its Delaunay sphere. Perfect Delaunay polytopes are in one-to-one correspondence with arithmetic equivalence classes of positive quadratic functions on the n-dimensional integral lattice that can be recovered, up to a scale factor, from the representations of its minimum. We develop a structural theory of such polytopes and describe all known perfect Delaunay polytopes in dimensions one through eight. We suspect that this list is complete.

Affiliated with

Also associated with

No associations

Rating

Perfect Delaunay Polytopes in Low Dimensions 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 Perfect Delaunay Polytopes in Low Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perfect Delaunay Polytopes in Low Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-427370