展开立方体：网、填料、隔板、弦
Unfolding cubes: nets, packings, partitions, chords
摘要：
我们证明了$n$ -立方体的每个脊展开都没有自重叠，从而得到一个有效的网络。结果是通过开发机器，将立方体展开到组合框架。此外，这些立方体网络的边界框的几何形状进行分类使用整数分区，以及通过弦图的镜头看到的路径展开的组合。
英文摘要：
We show that every ridge unfolding of an $n$-cube is without self-overlap, yielding a valid net. The results are obtained by developing machinery that translates cube unfolding into combinatorial frameworks. Moreover, the geometry of the bounding boxes of these cube nets are classified using integer partitions, as well as the combinatorics of path unfoldings seen through the lens of chord diagrams.
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。
