23 citations · 101 across the 29 of their papers we have counts for
34 papers
Variants of a theorem of Macbeath in finite dimensional normed spaces
Z. Lángi, S. Wang
A classical theorem of Macbeath states that for any integers , , -dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by…
Discrete isoperimetric problems in spaces of constant curvature
Bushra Basit, Zsolt Langi
The aim of this paper is to prove isoperimetric inequalities for simplices and polytopes with vertices in Euclidean, spherical and hyperbolic -space. In particular, we fin…
A characterization of the symmetry groups of mono-monostatic convex bodies
G. Domokos, Z. Lángi, P. Várkonyi
Answering a question of Conway and Guy in a 1968 paper, Lángi in 2021 proved the existence of a monostable polyhedron with -fold rotational symmetry for any , and arbi…
An analogue of a theorem of Steinitz for ball polyhedra in
Sami Mezal Almohammad, Márton Naszódi, Zsolt Lángi
Steinitz's theorem states that a graph is the edge-graph of a -dimensional convex polyhedron if and only if, is simple, plane and -connected. We prove an analogue of…
On some average properties of convex mosaics
G. Domokos, Z. Lángi
In a convex mosaic in we denote the average number of vertices of a cell by and the average number of cells meeting at a node by . Except for the $…
Balancing polyhedra
Gábor Domokos, Flórián Kovács, Zsolt Lángi +2
We define the mechanical complexity of a convex polyhedron interpreted as a homogeneous solid, as the difference between the total number of its faces, edges and vertic…