Z. Lángi

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20172025

most citedA characterization of affinely regular polygons

2 citations · 2 across the 2 of their papers we have counts for

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math.MG2025

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 $d \geq 2$ , $n \geq d + 1$ , $d$ -dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by…

math.MG2020

An analogue of a theorem of Steinitz for ball polyhedra in $R^{3}$

Sami Mezal Almohammad, Márton Naszódi, Zsolt Lángi

Steinitz's theorem states that a graph $G$ is the edge-graph of a $3$ -dimensional convex polyhedron if and only if, $G$ is simple, plane and $3$ -connected. We prove an analogue of…

math.MG2019

On some average properties of convex mosaics

G. Domokos, Z. Lángi

In a convex mosaic in $R^{d}$ we denote the average number of vertices of a cell by $v ˉ$ and the average number of cells meeting at a node by $n ˉ$ . Except for the $…

math.MG2017★ 2 cited

A characterization of affinely regular polygons

Zsolt Langi

In 1970, Coxeter gave a short and elegant geometric proof showing that if $p_{1}, p_{2}, \dots, p_{n}$ are vertices of an $n$ -gon $P$ in cyclic order, then $P$ is affinely regular if, a…

Variants of a theorem of Macbeath in finite dimensional normed spaces

An analogue of a theorem of Steinitz for ball polyhedra in R3

On some average properties of convex mosaics

A characterization of affinely regular polygons

An analogue of a theorem of Steinitz for ball polyhedra in $R^{3}$