立方体镶嵌的一个稳定性定理
A stability theorem on cube tessellations
摘要：
它表明，如果一个$d$维立方体被分解成n立方图，其边长属于区间$\left(1-\frac{1}{n^{1/d}+1}, 1\right], then $ n $ is a perfect $ d$次幂和所有立方体的大小相同。这个结果基本上是紧的。
英文摘要：
It is shown that if a $d$-dimensional cube is decomposed into n cubes, the side lengths of which belong to the interval $\left(1-\frac{1}{n^{1/d}+1}, 1\right], then $n$ is a perfect $d$-th power and all cubes are of the same size. This result is essentially tight.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
