Hao Chen

activity

20102026

most citedWater Structures Reveal Local Hydrophobicity on the In2O3(111) Surface

33 citations · 172 across the 25 of their papers we have counts for

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5 papers · 1 filter

math.MG2017

Weakly Inscribed Polyhedra

Hao Chen, Jean-Marc Schlenker

We study convex polyhedra in $R P^{3}$ with all their vertices on a sphere. We do not require, in particular, that the polyhedra lie in the interior of the sphere, h…

math.MG2016★ 1 cited

Selectively Balancing Unit Vectors

Aart Blokhuis, Hao Chen

A set $U$ of unit vectors is selectively balancing if one can find two disjoint subsets $U^{+}$ and $U^{-}$ , not both empty, such that the Euclidean distance between the sum of $U^{+}$ a…

math.MG2015★ 9 cited

Scribability problems for polytopes

Hao Chen, Arnau Padrol

In this paper we study various scribability problems for polytopes. We begin with the classical $k$ -scribability problem proposed by Steiner and generalized by Schulte, which asks…

math.MG2013★ 13 cited

Apollonian Ball Packings and Stacked Polytopes

Hao Chen

We investigate in this paper the relation between Apollonian $d$ -ball packings and stacked $(d + 1)$ -polytopes for dimension $d \geq 3$ . For $d = 3$ , the relation is fully described: we…

math.MG2012

Distance Geometry for Kissing Spheres

Hao Chen

A kissing sphere is a sphere that is tangent to a fixed reference ball. We develop in this paper a distance geometry for kissing spheres, which turns out to be a generalization of…