2 papers
math.FA2016
The discrete Pompeiu problem on the plane
Gergely Kiss, Miklós Laczkovich, Csaba Vincze
We say that a finite subset of the Euclidean plane has the discrete Pompeiu property with respect to isometries (similarities), if, whenever $f:\mathbb{R}^2\to \…
math.MG2014
Magic mirrors, dense diameters, Baire category
Imre Bárány, Miklós Laczkovich
An old result of Zamfirescu says that for most convex curves in the plane most points in lie on infinitely many normals to , where most is meant in Baire category sens…