Parallelotopes of maximum volume in a simplex

Authors
Lassak, M
Citation
M. Lassak, Parallelotopes of maximum volume in a simplex, DISC COM G, 21(3), 1999, pp. 449-462
Citations number
14
Categorie Soggetti
Engineering Mathematics
Journal title
DISCRETE & COMPUTATIONAL GEOMETRY
ISSN journal
01795376 → ACNP
Volume
21
Issue
3
Year of publication
1999
Pages
449 - 462
Database
ISI
SICI code
0179-5376(199904)21:3<449:POMVIA>2.0.ZU;2-J
Abstract
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.