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Circle and Spots (Posted on 2004-12-27) Difficulty: 4 of 5
Two or more spots are placed anywhere on a circle's circumference. Every pair is joined by a straight line. Given n spots, what is the maximum number of regions into which the circle can be divided?

No Solution Yet Submitted by SilverKnight    
Rating: 3.0000 (6 votes)

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re(3): researched | Comment 7 of 10 |
(In reply to re(2): researched by Charlie)

Indeed, A000127 is the solution, which I think is equal to my solution being (n+A006522).  Where n cares for the parts between the n gon sides and the circle. Example 4 points, a square, 4 sides, 4 parts is (4 + AOO6522 )
  Posted by Hugo on 2004-12-28 17:34:58

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