M. Laczkovich

collaborators

3 papers

math.MG2026

Invariants and equidecomposability in rings of polygons with sides of given directions

Gergely Kiss, MiklÃ³s 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,…

math.CO2026

Solution of Erdős Problem 633

Michael Beeson, Miklos Laczkovich, Yan X. Zhang

We classify triangles that can be tiled only into a square number of congruent triangles, settling Erdős Problem 633.

math.FA2025

Solutions to the discrete Pompeiu problem and to the finite Steinhaus tiling problem

Gergely Kiss, MiklÃ³s Laczkovich, Miklós Laczkovich

Let $K$ be a nonempty finite subset of the Euclidean space $R^{k}$ $(k \geq 2)$ . We prove that if a function $f : R^{k} \to C$ is such that the sum of $f$ o…