English

The Lonely Vertex Problem

Metric Geometry 2007-10-26 v1

Abstract

In a locally finite tiling of n-dim Euclidean space by convex polytopes, each point of the space is either a vertex of at least two tiles, or no vertex at all.

Keywords

Cite

@article{arxiv.0710.4870,
  title  = {The Lonely Vertex Problem},
  author = {D. Frettlöh and A. Glazyrin},
  journal= {arXiv preprint arXiv:0710.4870},
  year   = {2007}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-21T09:36:26.326Z