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.
(In reply to
re(3): Part 3?? what was I thinking? by nikki)
Guessing formulas to match the first few experimental values is not the
right way to go. The aim should be to geometrically reason about
the problem and give a proof. If you have a guess of a formula,
it should be labeled as such, not as a solution.
Reason, don't guess
