The Library
Packing twelve spherical caps to maximize tangencies
Tools
Tools
Tools
Flatley, Lisa, Tarasov, Alexey, Taylor, Martin and Theil, Florian (2013) Packing twelve spherical caps to maximize tangencies. Journal of Computational and Applied Mathematics, volume 254 . pp. 220-225. doi:10.1016/j.cam.2013.03.036
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1016/j.cam.2013.03.036
Abstract
The maximum number of non-overlapping unit spheres in R3 that can simultaneously touch another unit sphere is given by the kissing number, k(3)=12. Here, we present a proof that the maximum number of tangencies in any kissing configuration is 24 and that, up to isomorphism, there are only two configurations for which this maximum is achieved. The result is motivated by a three-dimensional crystallization problem.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal of Computational and Applied Mathematics | ||||
| Publisher: | Elseivier Science BV | ||||
| ISSN: | 0377-0427 | ||||
| Official Date: | 2013 | ||||
| Dates: |
|
||||
| Volume: | volume 254 | ||||
| Page Range: | pp. 220-225 | ||||
| DOI: | 10.1016/j.cam.2013.03.036 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
