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math.MG2019
On the volume of non-central sections of a cube
Hermann König, Mark Rudelson
Let be the cube of side length one centered at the origin in , and let be an affine -dimensional subspace of having distance to the or…
math.MG2018
On the maximal perimeter of sections of the cube
Hermann Koenig, Alexander Koldobsky
We prove that the (n-2)-dimensional surface area (perimeter) of central hyperplane sections of the n-dimensional unit cube is maximal for the hyperplane perpendicular to the vector…