A Note on the Simplex with Odd Integral Edge-Lengths
Citation：
Yang Lu,Zhang Jingzhong.A Note on the Simplex with Odd Integral Edge-Lengths[J].Chinese Annals of Mathematics B,1982,3(3):343~348
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Authors：
Yang Lu; Zhang Jingzhong
Abstract：
In this paper the following result is proved:
Theorem.In an n-dimensional Euclidean space,there exists an n-simplex such that
(i)Its all edge-lengthsare odd integers;
(ii)The distances from all its vertices to a hyperplane are integers,if and only if $n\equiv \pm (mod 8)$.
