Perfect and almost perfect homogeneous polytopes
Metric Geometry
2024-02-28 v1
Abstract
The paper is devoted to perfect and almost perfect homogeneous polytopes in Euclidean spaces. We classified perfect and almost perfect polytopes among all regular polytopes and all semiregular polytopes excepting Archimedean solids and two four-dimensional Gosset polytopes. Also we construct some non-regular homogeneous polytopes that are (or are not) perfect and posed some unsolved questions.
Keywords
Cite
@article{arxiv.2304.12211,
title = {Perfect and almost perfect homogeneous polytopes},
author = {V. N. Berestovskii and Yu. G. Nikonorov},
journal= {arXiv preprint arXiv:2304.12211},
year = {2024}
}
Comments
18 pages, 2 figures