The goal is to design a box in a way, that the light beam will never escape.
- The walls are perfectly smooth and reflective. The beam will always reflect under the same angle it impacts the wall. There is no absorption. Also, no quantum-mechanical effects exist in this universe. One-directional mirrors are not permitted either
- If the beam escapes the box and points away to infinity, the game is over
- If the beam ever returns back to its source, it is also game over
- Neither the box or any part of it, or light source can move. The setup is completely static, except for the laser beam
- This is not a hard rule, but the simple the solution is, the better. Ideally using only basic 2D/3D geometry. However, if you have an interesting solution using some more advanced geometric, or mathematical concepts, it is more than welcome!
Disclaimer: I do not have a solution. Let's create one!
Based on the feedback from other users, I provide additional details here:
- The shape of the box is not limited to a rectangle, it can be anything, polygon, sphere, even more exotic shapes are allowed (like fractals for examples), or shapes from non-euclidean geometry, higher number of dimensions than 3 is also allowed, although not preferred. Mirrors do not need to be straight lines, they can be curved in any way you see fit.
- Laser source and box hole sizes are not negligible.