2 papers
math.CO2026
The orthogonal connectedness of polyhedral surfaces
Julia Q. Du, Xuemei He, Xiaotian Song +3
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 doi…
math.CO2025
Orthogonally connected sets
Xuemei He, Xiaotian Song, Liping Yuan +1
In this paper, we further investigate the orthogonally connected sets and establish necessary and sufficient conditions for a set to be staircase connected.