Fermat's Principle of Least Time
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Q. In the course of a series of duels with your arch nemesis Badok, both he and you (Goodok) are made to stand at the foci of a perfectly reflecting elliptical chamber, with a thick iron obstacle in the center between you. Which point on the wall should you aim your high powered laser gun at the chamber walls so that you are sure to hit Badok? (for simplicity, let both of you exist in a 2-D world)
- Point 1 only.
- Point 2 only.
- Point 3 only.
- You can close your eyes and hit any point on the ellipse, and your job will be done.