某些多边形立方体没有边拉链展开
Some Polycubes Have No Edge Zipper Unfolding
摘要：
不知道是否每个多面体（由面对面的立方体粘合而成的多面体）都有一个边展开，也就是说，沿着立方体的边切割，将多面体展开为平面上的一个不重叠的多边形。在这里，我们构造没有 * 边拉链展开 * 的多边形立方体，其中切割边被进一步限制以形成路径。
英文摘要：
It is unknown whether every polycube (polyhedron constructed by gluing cubes face-to-face) has an edge unfolding, that is, cuts along edges of the cubes that unfolds the polycube to a single nonoverlapping polygon in the plane. Here we construct polycubes that have no *edge zipper unfolding* where the cut edges are further restricted to form a path.
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。
