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Partitioning Space (Posted on 2004-09-13) Difficulty: 5 of 5
From Pizza Cut, we know the formula for maximum partitioning (pieces) of the circle, given n straight lines (cuts).

  1. Determine the maximum number of regions of the plane produced by n intersecting circles.

  2. Determine the maximum number of regions of the plane produced by n intersecting ellipses.

  3. Determine the maximum number of regions of space produced by n intersecting spheres.

No Solution Yet Submitted by SilverKnight    
Rating: 4.5000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Reason, don't guess | Comment 10 of 13 |
(In reply to Reason, don't guess by David Shin)

Sorry.  Next time I won't try to solve a problem unless it is the "right" way to go about it.

Well, if my improper approach (what would be the solution) yields the correct formula (answer), how should I label that?  It's not a Question.  Regular, Some Thoughts, and Hints/Tips don't seem right because someone could see that label and think "oh, that's not a solution, so it's 'safe' to look at it without seeing any spoilers" and then they might be disappointed when they see a formula.

But if I label it as a solution, then I am falsely calling my guess a solution.  I did put question marks in my subject.

Any suggestions?

  Posted by nikki on 2004-09-14 17:00:42
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