English

Hunting for reduced polytopes

Metric Geometry 2017-02-01 v2

Abstract

By correcting an example by Polyanskii, we show that there exist reduced polytopes in three-dimensional Euclidean space. This partially answers the question posed by Lassak on the existence of reduced polytopes in dd-dimensional Euclidean space for d3d\geq 3.

Keywords

Cite

@article{arxiv.1607.08125,
  title  = {Hunting for reduced polytopes},
  author = {Bernardo González Merino and Thomas Jahn and Gerd Wachsmuth},
  journal= {arXiv preprint arXiv:1607.08125},
  year   = {2017}
}

Comments

This paper has been withdrawn by the authors. This paper has been superseded by arXiv:1701.08629 (merged from arXiv:1605.06791 and arXiv:1607.08125)

R2 v1 2026-06-22T15:05:42.576Z