perplexus.info :: Geometry : Circle and Spots

Circle and Spots (Posted on 2004-12-27)

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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Puzzle Thoughts

Comment 10 of 10 |

(n^4 - 6n^3 + 23n^2 - 18n + 24)/24.

The sequence is included in oeis.org A000127

Edited on March 13, 2023, 12:24 am

Posted by K Sengupta on 2023-03-13 00:19:24

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