The volume of central diagonal hyperplane sections of the unit n-cube is strictly monotonically increasing in n for n ≥ 3.
Validated Numerics: A Short Introduction to Rigorous Computations ; Princeton University Press: Princeton, NJ, USA, 2011
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Central diagonal sections of the $n$-cube
The volume of central diagonal hyperplane sections of the unit n-cube is strictly monotonically increasing in n for n ≥ 3.