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Endpoint Rotation Paradox (Posted on 2024-10-03) Difficulty: 3 of 5
A needle (a segment) lies on a plane. One can rotate it 45 degree round any of its endpoints. Is it possible that after several rotations the needle returns to initial position with the endpoints interchanged?

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
Some ThoughtsSpeculation without proofLarry2024-10-03 12:30:42
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