arXiv subjects

Xuemei He

Publications and source records attributed to Xuemei He.

2 recordsLinked to original sources

arXiv2026

The orthogonal connectedness of polyhedral surfaces

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.

math.CO↗

arXiv2025

Orthogonally connected sets

In this paper, we further investigate the orthogonally connected sets and establish necessary and sufficient conditions for a set to be staircase connected.

math.CO↗