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Results tagged with recreational-mathematics
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user 2480
Applications of mathematics for the design and analysis of games and puzzles
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 …
- 5,103
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 …
- 5,103