足够胖的多面体不是2-可铸造的
Sufficiently Fat Polyhedra are not 2-castable
摘要：
本文研究了用铸造法制造凸多面体的问题。我们考虑一个概括的砂铸工艺，其中的对象是通过粘合在一起的两个相同的面与一个单件模具铸造的零件制造。在这个模型中，我们表明，类的凸多面体，可以封闭在两个同心球的半径比小于1.07，不能只使用两个铸件制造。
英文摘要：
In this note we consider the problem of manufacturing a convex polyhedral object via casting. We consider a generalization of the sand casting process where the object is manufactured by gluing together two identical faces of parts cast with a single piece mold. In this model we show that the class of convex polyhedra which can be enclosed between two concentric spheres of the ratio of their radii less than 1.07 cannot be manufactured using only two cast parts.
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。
