关于三维Dirichlet立体面II的刻面数：非立方群
On the number of facets of three-dimensional Dirichlet stereohedra II: Non-cubic Groups
摘要：
我们证明了三维非立方晶体群的狄利克雷立体面不能超过80个刻面。的约束取决于特定的晶体群考虑和50以上的97个仿射共轭类，他们只有9。我们还构造了一个六边形和一个四面体群的32和29个面的狄利克雷立体面。
英文摘要：
We prove that Dirichlet stereohedra for non-cubic crystallographic groups in dimension 3 cannot have more than 80 facets. The bound depends on the particular crystallographic group considered and is above 50 only on 9 of the 97 affine conjugacy classes of them. We also construct Dirichlet stereohedra with 32 and 29 facets for a hexagonal and a tetragonal group, respectively.
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