Upper Bounds for Non-Congruent Sphere Packings

Samuel Reid

Upper Bounds for Non-Congruent Sphere Packings

Metric Geometry 2015-10-05 v1

Authors: Samuel Reid

Abstract

We prove upper bounds on the average kissing number $k(\mathcal{P})$ and contact number $C(\mathcal{P})$ of an arbitrary finite non-congruent sphere packing $\mathcal{P}$ , and prove an upper bound on the packing density $\delta(\mathcal{P})$ of an arbitrary infinite non-congruent sphere packing $\mathcal{P}$ .

Keywords

sphere packings sphere packings and spherical designs upper bounds

Cite

@article{arxiv.1510.00407,
  title  = {Upper Bounds for Non-Congruent Sphere Packings},
  author = {Samuel Reid},
  journal= {arXiv preprint arXiv:1510.00407},
  year   = {2015}
}

Comments

6 pages

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