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Applications of mathematics for the design and analysis of games and puzzles

7 votes
Accepted

Can the thief escape (from a smooth, simple closed curve)?

Claim. The thief $T$ can escape if $C$ is a circle, with a simple strategy of dribbling left and right each policeman at a time in such a way that he is left out of reach of the thief no matter what t …
Yaakov Baruch's user avatar
0 votes

Can the thief escape (from a smooth, simple closed curve)?

The cops should always win. Here is a sketch of a proof. One cop (for short) trying to catch the thief crossing a segment: the cop can run on the segment at top speed towards the thief (provided the …
Yaakov Baruch's user avatar