论文标题
可以通过粘上常规六边形来制作哪种凸多面体？
Which convex polyhedra can be made by gluing regular hexagons?
论文作者
论文摘要
可以通过粘合几个常规的六边形边缘到边缘来获得哪个凸3D Polyhedra？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。我们为其中大多数提供了例子，包括所有简单和所有平坦的形状，并为后一种形状提供特征。是否可以实现其余的是开放的。
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.
