Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



The extreme projections of the regular simplex

Author: P. Filliman
Journal: Trans. Amer. Math. Soc. 317 (1990), 611-629
MSC: Primary 52A25; Secondary 52A40
MathSciNet review: 989573
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Abstract: The largest and smallest projections of the regular $ n$-dimensional simplex into a $ k$-dimensional subspace are determined for certain values of $ n$ and $ k$. These results suggest that the smallest $ k$-dimensional projection and the largest $ (n - k)$-dimensional projection occur in orthogonal subspaces of $ {R^n}$.

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Article copyright: © Copyright 1990 American Mathematical Society