Five-neighbour packings of centrally symmetric convex discs
Metric Geometry
2018-07-06 v1
Abstract
In an old paper of the author the thinnest five-neighbour packing of translates of a convex disc (different from a parallelogram) was determined. The minimal density was , and was attained for a certain packing of triangles. In that paper it was announced that for centrally symmetric convex plates (different from a parallelogram) the analogous minimal density was , and was attained for a certain packing of affine regular hexagons, and a very sketchy idea of the proof was given. In this paper we give details of this proof.
Keywords
Cite
@article{arxiv.1807.01907,
title = {Five-neighbour packings of centrally symmetric convex discs},
author = {Endre Makai},
journal= {arXiv preprint arXiv:1807.01907},
year = {2018}
}
Comments
8 pages