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

 Subject Author Date Part II Solution David Shin 2004-09-15 00:24:00 Part I Solution David Shin 2004-09-15 00:18:00 re(2): Reason, don't guess David Shin 2004-09-14 17:24:40 re: Reason, don't guess nikki 2004-09-14 17:00:42 Reason, don't guess David Shin 2004-09-14 16:47:37 re(3): Part 3?? what was I thinking? nikki 2004-09-14 15:20:23 re(2): Part 3?? nikki 2004-09-14 14:52:43 re: Part 3?? Brian Smith 2004-09-14 12:55:27 Part 3?? nikki 2004-09-14 10:51:42 Some ideas... David Shin 2004-09-14 08:52:02 Pt. 3 Ira Jewell 2004-09-13 23:05:34 Parts 1 and 2 nikki 2004-09-13 15:43:03 Part 2 solution? Jer 2004-09-13 14:11:37

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