perplexus.info :: Geometry : Partitioning Space

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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Determine the maximum number of regions of the plane produced by n intersecting circles.
Determine the maximum number of regions of the plane produced by n intersecting ellipses.
Determine the maximum number of regions of space produced by n intersecting spheres.

No Solution Yet Submitted by SilverKnight

Rating: 4.4000 (5 votes)

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Pt. 3

| Comment 3 of 13 |

Wow! Pt. 3 is hard to visualize. Tempted to think it's the same as for part 1 though...

Posted by Ira Jewell on 2004-09-13 23:05:34

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