The volume of the cevian simplex inside an n-simplex reaches a maximum of 1/n^n of the total volume at the centroid, with two related optimization problems solved via barycentric coordinates.
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The Maximum of the Volume of a Cevian Simplex and its Parts
The volume of the cevian simplex inside an n-simplex reaches a maximum of 1/n^n of the total volume at the centroid, with two related optimization problems solved via barycentric coordinates.