Yestrerday I came up with a very nice problem.However, I wasn't able to solve it :-( So, here it is:

I have a cake that looks like the shape in the picture. If n planes divide it into f(n) pieces, what is the maximum value of f(99)

Note: The pieces can have different shapes or sizes

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So this should mean that f(1)=2.However the max. value of f(1) is 3

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