Discrete & Computational Geometry

, Volume 21, Issue 3, pp 449-462

First online:

Parallelotopes of Maximum Volume in a Simplex

  • M. LassakAffiliated withInstytut Matematyki i Fizyki ATR, Kaliskiego 7, 85-796 Bydgoszcz, Poland lassak@atr.bydgoszcz.pl

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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.