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Scrutiny (Posted on 2023-05-01) Difficulty: 2 of 5
A puzzle by V. Dubrovsky, from Quantum, January-February 1992:

In a certain planetary system, no two planets are separated by the same distance. On each planet sits an astronomer who observes the planet closest to hers.

Prove that if the total number of planets is odd, there must be a planet that no one is observing.

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
My versionbroll2023-05-02 11:36:51
proof by contradictionxdog2023-05-02 10:14:55
A start, but incompleteLarry2023-05-01 23:42:39
re(2): solnSteven Lord2023-05-01 19:24:27
re: solnKenny M2023-05-01 17:28:04
solnSteven Lord2023-05-01 16:34:21
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