论文标题
展开的立方体：网，包装，分区，和弦
Unfolding cubes: nets, packings, partitions, chords
论文作者
论文摘要
我们表明，$ n $ cube的每个山脊都没有自行封锁，产生有效的网。结果是通过开发将立方体展开为组合框架的机械获得的。此外，这些立方体网的边界框的几何形状是使用整数分区进行分类的，以及通过和弦图镜头看到的路径展开的组合。
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.
