哪些凸多面体可以由正六边形粘合而成？
Which convex polyhedra can be made by gluing regular hexagons?
摘要：
哪些凸3D多面体可以通过边到边粘合几个正六边形得到？事实证明，只有15种可能的形状类型，其中5种是双重覆盖的2D多边形。我们给出的例子，其中大部分，包括所有的单纯形和所有平面形状，并给后者的一个表征。其余的能否实现尚不清楚。
英文摘要：
Which convex 3D polyhedra can be obtained by gluing several regular hexagons edge-to-edge? It turns out that there are only 15 possible types of shapes, 5 of which are doubly-covered 2D polygons. We give examples for most of them, including all simplicial and all flat shapes, and give a characterization for the latter ones. It is open whether the remaining can be realized.
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。
