An experiment

Geometry Level pending

Given a cubic box, you make a small hole in the middle of one face. You then shoot a laser beam through the hole making an angle of α \alpha with the imaginary perpendicular line called the normal. The light beam suffers 3 reflections inside the box and comes out of the same hole.

What is α \alpha (in degrees) when this scenario is possible?


The answer is 45.

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