Hunting for reduced polytopes
Metric Geometry
2019-04-18 v1
Abstract
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 -dimensional Euclidean space for . Moreover, we prove a novel necessary condition on reduced polytopes in three-dimensional Euclidean space.
Keywords
Cite
@article{arxiv.1701.08629,
title = {Hunting for reduced polytopes},
author = {Bernardo González Merino and Thomas Jahn and Alexandr Polyanskii and Gerd Wachsmuth},
journal= {arXiv preprint arXiv:1701.08629},
year = {2019}
}
Comments
This is work is a merger of arXiv:1605.06791 and arXiv:1607.08125