22 citations · 77 across the 38 of their papers we have counts for
7 papers · 1 filter
Invariants and equidecomposability in rings of polygons with sides of given directions
Gergely Kiss, Miklós Laczkovich
We investigate equidecomposability in the ring of polygons with sides restricted to given directions and using only translations. Extending classical results of Dehn and Hadwiger,…
Optimal embedded and enclosing isosceles triangles
Aron Ambrus, Monika Csikos, Gergely Kiss +2
Given a triangle , we study the problem of determining the smallest enclosing and largest embedded isosceles triangles of with respect to area and perimeter. This problem wa…
Nonstandard -distances based on certain geometric constructions
Gergely Kiss, Jean-Luc Marichal
The concept of -distance was recently introduced to generalize the classical definition of distance to functions of arguments. In this paper we investigate this concept thro…
Minimum area isosceles containers
Gergely Kiss, János Pach, Gábor Somlai
We show that every minimum area isosceles triangle containing a given triangle shares a side and an angle with . This proves a conjecture of Nandakumar motivated by a comput…
On the best constants associated with -distances
Gergely Kiss, Jean-Luc Marichal
We pursue the investigation of the concept of -distance, an -variable version of the classical concept of distance recently introduced and investigated by Kiss, Marichal, and…
A generalization of the concept of distance based on the simplex inequality
Gergely Kiss, Jean-Luc Marichal, Bruno Teheux
We introduce and discuss the concept of \emph{-distance}, a generalization to elements of the classical notion of distance obtained by replacing the triangle inequality with…
Decomposition of balls in
Gergely Kiss, Gábor Somlai
We investigate the decomposition problem of balls into finitely many congruent pieces in dimension . In addition, we prove that the dimensional unit ball can be div…