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math.FA2023
Non-central sections of the -ball
Hermann König
We determine the maximal non-central hyperplane sections of the n-dimensional -ball if the fixed distance of the hyperplane to the origin is between and $1 / \sq…
math.FA2023
Non-central sections of the regular n-simplex
Hermann König
We show that the maximal non-central hyperplane sections of the regular n-simplex of side-length sqrt 2 at a fixed distance t to the centroid are those parallel to a face of the si…