Translation of the paper ``Simplizialzerlegungen von Beschrankter Flachheit'' by Hans Freudenthal (https://doi.org/10.2307/1968813), in which Freudenthal answers ``a question by Brouwer about the construction of an infinite series of subdivisions of a polytope, such that the next element in the sequence is a subdivision of the previous one and such that the subsimplices that arise do not become arbitrarily flat.''

翻译：论文《有界平坦性的单纯形剖分》[德文原名：Simplizialzerlegungen von Beschrankter Flachheit] 的翻译，作者汉斯·弗洛伊登塔尔（DOI: 10.2307/1968813）。该文中，弗洛伊登塔尔解答了“布劳威尔提出的一个问题：如何构造多胞体剖分的无穷序列，使得序列中每个后续元素均为前一个的细分，且由此产生的子单纯形不会变得任意平坦”。