A Delaunay polytope $P$ is said to be {\em extreme} if the only (up toisometries) affine bijective transformations $f$ of $\R^n$, for which $f(P)$ isagain a Delaunay polytope, are the homotheties. This notion was introduced in\cite{DGL92}; also some examples in dimension 1, 6, 7, 15, 16, 22, 23 wereconstructed and it was proved that in dimension less than 6 there are noextreme Delaunay polytopes, except the segment. In this note, for every $n\geq6$ we build an extreme Delaunay polytope $ED_n$ of dimension $n$.
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机译：如果唯一的（向上等距）仿射双射变换$ \ R ^ n $，而$ f（P）$同样是Delaunay多义词，则Delaunay多义词$ P $被称为{\ em Extreme}。同性恋。此概念是在\ cite {DGL92}中引入的；还构造了尺寸为1、6、7、15、16、22、23的一些示例，并且证明了尺寸小于6的尺寸中，除了片段之外，没有极端的Delaunay多表位。在本注释中，我们为每个$ n \ geq6 $建立一个尺寸为$ n $的极端Delaunay多面体$ ED_n $。
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