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
Excursions in Sylvester-Gallai land
Imre Barany, Julia Q. Du, Dan Schwarz +2
The Sylvester-Gallai theorem states that for a finite set of points in the plane, if every line determined by any two of these points also contains a third, then the set is necessa…