, Volume 21, Issue 3, pp 449-462

Parallelotopes of Maximum Volume in a Simplex

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It is proved that the maximum possible volume of a parallelotope contained in a d -dimensional simplex S is equal to (d! / d d ) vol(S) . A description of all the parallelotopes of maximum volume contained in S is given.

Received May 15, 1997, and in revised form December 21, 1997.