The orthogonal connectedness of polyhedral surfaces
Combinatorics
2026-03-10 v1
Abstract
Using the orthogonal connectedness, we introduce the notion of orthogonal decomposability of convex polytopes and study it in the case of Platonic and Archimedean solids. While doing so, we also encounter polytopes which are not orthogonally decomposable.
Keywords
Cite
@article{arxiv.2603.07734,
title = {The orthogonal connectedness of polyhedral surfaces},
author = {Julia Q. Du and Xuemei He and Xiaotian Song and Daniela Stiller and Liping Yuan and Tudor Zamfirescu},
journal= {arXiv preprint arXiv:2603.07734},
year = {2026}
}
Comments
16 pages, 12 figures