TL;DR
This paper investigates the concept of invisibility in billiards within geometrical optics, constructing bodies that are invisible in specific directions and proving the impossibility of universal invisibility.
Contribution
It introduces bodies with zero resistance in two orthogonal directions and establishes the non-existence of bodies invisible in all directions.
Findings
Bodies with zero resistance in two directions are constructed.
Universal invisibility in all directions is proven impossible.
Abstract
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 mutually orthogonal directions, and prove that there do not exist bodies which are invisible/have zero resistance in all possible directions of incidence.
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