Maximalj-Simplices in the Reald-Dimensional Unit Cube

✍ Scribed by Michael G Neubauer; William Watkins; Joel Zeitlin

• Book ID: 102583105
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 310 KB
• Volume: 80
• Category: Article
• ISSN: 0097-3165
• DOI: 10.1006/jcta.1997.2789

✦ Synopsis

For each positive even integer j there is an infinite arithmetic sequence of dimensions d for which we construct a j-simplex of maximum volume in the d-dimensional unit cube. For fixed d, all of these maximal j-simplices have the same Gram matrix, which is a multiple of I+J. For j even, a new upper bound for the volume of a j-simplex in the d-dimensional unit cube is given.