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The Cake Problem

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

Note by Martin Nikolov
2 years, 6 months ago

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2^n Prateek Gupta · 2 years, 6 months ago

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@Prateek Gupta So this should mean that f(1)=2.However the max. value of f(1) is 3 Martin Nikolov · 2 years, 6 months ago

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