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Partitioning the Regions (Posted on 2004-08-23) Difficulty: 4 of 5
From Pizza Cut, we know the formula for maximum partitioning (pieces) of the circle, given n straight lines (cuts).

  1. Determine the formula for the maximum number of pieces if you cut a crescent moon (think capital letter 'C') with n straight lines.

  2. Determine the formula for the maximum number of pieces of cheesecake (a cylinder) produced by n plane cuts.

No Solution Yet Submitted by SilverKnight    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: I think this is right. | Comment 2 of 3 |
(In reply to I think this is right. by nikki)

nikki, I think you may be half right. Since part 1 mentions cutting with straight lines, I'll assume the crescent moon means a 2D area which can be divided with lines.

Part two however mentions a 3D Cylindar which can be divided horizontally or at an infinite number of angles with plane cuts. One horizontal cut through the center of you cheesecake will double your answer.  
  Posted by bob909 on 2004-08-26 03:57:26

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