The kissing problem in three dimensions

Details The kissing problem in three dimensions The kissing problem in three dimensions

2004-10-13

arxiv.org/abs/math/0410324v3

Discrete & Computational Geometry 35 (2006), no. 3, 375-384

Mathematics

Metric Geometry

10 pages, 5 figures

Scientific paper

The kissing number k(3) is the maximal number of equal size nonoverlapping spheres in three dimensions that can touch another sphere of the same size. This number was the subject of a famous discussion between Isaac Newton and David Gregory in 1694. The first proof that k(3)=12 was given by Sch\"utte and van der Waerden only in 1953. In this paper we present a new solution of the Newton-Gregory problem that uses our extension of the Delsarte method. This proof relies on basic calculus and simple spherical geometry.

Affiliated with

Also associated with

No associations

Rating

The kissing problem in three 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 The kissing problem in three dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The kissing problem in three dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-136771