关于置换凸体的结构(英文)

Structures on Convex Polyhedrons Associated to Permutations

利用极值分析研究了n=3,4时,Rn中置换凸体的结构特征.R3中置换凸体是一个六边形,R4中置换凸体是一个由8个六边形和6个四边形组成的十四面体.

The relevant properties of the structure on convex polyhedrons associated to permutations in R^n with n= 3,4 are studied using the extremum analysis. The convex polyhedrons associated to permutations in R^3 is a hexagon and the convex polyhedrons associated to permutations in R^4 is a tetrakaidecahedron which is composed of eight hexagons and six quadrilaterals.