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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: ( You must be logged in to post comments.)
  Subject Author Date
SolutionPart II SolutionDavid Shin2004-09-15 00:24:00
SolutionPart I SolutionDavid Shin2004-09-15 00:18:00
re(2): Reason, don't guessDavid Shin2004-09-14 17:24:40
re: Reason, don't guessnikki2004-09-14 17:00:42
Reason, don't guessDavid Shin2004-09-14 16:47:37
Solutionre(3): Part 3?? what was I thinking?nikki2004-09-14 15:20:23
Solutionre(2): Part 3??nikki2004-09-14 14:52:43
re: Part 3??Brian Smith2004-09-14 12:55:27
SolutionPart 3??nikki2004-09-14 10:51:42
Some ThoughtsSome ideas...David Shin2004-09-14 08:52:02
Pt. 3Ira Jewell2004-09-13 23:05:34
SolutionParts 1 and 2nikki2004-09-13 15:43:03
Some ThoughtsPart 2 solution?Jer2004-09-13 14:11:37
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