29 citations · 60 across the 28 of their papers we have counts for
5 papers · 1 filter
Bodies with mirror surface invisible from two points
Alexander Plakhov, Vera Roshchina
Here we are concerned with a special issue of billiard invisibility, where a bounded set with a piecewise smooth boundary in Euclidean space is identified with a body with mirror s…
Invisibility in billiards is impossible in an infinite number of directions
Alexander Plakhov, Vera Roshchina
We consider the billiard in the exterior of a piecewise smooth body in two-dimensional Euclidean space and show that the maximum number of directions of invisibility in such billia…
Fractal bodies invisible in 2 and 3 directions
Alexander Plakhov, Vera Roshchina
We study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct…
Invisibility in billiards
Alexander Plakhov, Vera Roshchina
The question of invisibility for bodies with mirror surface is studied in the framework of geometrical optics. We construct bodies that are invisible/have zero resistance in two mu…
Finiteness in the Card Game of War
Evgeny Lakshtanov, Vera Roshchina
The game of war is one of the most popular international children's card games. In the beginning of the game, the pack is split into two parts, then on each move the players reveal…