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math.MG2020
On the convex hull and homothetic convex hull functions of a convex body
Ákos G. Horváth, Zsolt Lángi
The aim of this note is to investigate the properties of the convex hull and the homothetic convex hull functions of a convex body in Euclidean -space, defined as the volume…
math.MG2020
A solution to some problems of Conway and Guy on monostable polyhedra
Zsolt Lángi
A convex polyhedron is called monostable if it can rest in stable position only on one of its faces. The aim of this paper is to investigate three questions of Conway, regarding mo…
math.MG2020
On -diametral point configurations in Minkowski spaces
Károly Bezdek, Zsolt Lángi
The structure of -diametral point configurations in Minkowski -space is shown to be closely related to the properties of -antipodal point configurations in .…