线钉扎线
Lines pinning lines
摘要：
一条直线g是三维空间中凸多胞体族F的横截线，如果它与F的每个成员相交。此外，如果g是F的线横截空间的孤立点，我们说F是g的钉扎。我们证明了任何最小钉扎线的凸多胞体，使没有面对的多面体是共面的线的大小最多为8。此外，如果多面体是不相交的，那么它的大小最多为6。我们完全不相交的多面体，形成最小的钉扎线的配置的特点。
英文摘要：
A line g is a transversal to a family F of convex polytopes in 3-dimensional space if it intersects every member of F. If, in addition, g is an isolated point of the space of line transversals to F, we say that F is a pinning of g. We show that any minimal pinning of a line by convex polytopes such that no face of a polytope is coplanar with the line has size at most eight. If, in addition, the polytopes are disjoint, then it has size at most six. We completely characterize configurations of disjoint polytopes that form minimal pinnings of a line.
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。
