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.
If the ellipses each have the same center but each has a greater hoizontal axis and smaller minor axis than the next the formula is
2nē  2n  2
I don't know if this is the maximum.
but its time to go so I won't tackle the others now
Jer

Posted by Jer
on 20040913 14:11:37 