n维立方体的棱面关系与杨辉三角的推广

The Relations Between Edges and Planes of n-dimensional Cube and the Generalization of Yanghuei’s Triangle

本文证明了ｎ锥立方体各维棱（面）数之总和等于３￣ｎ．并研究了它与杨辉三角的关系．

Visualizations and structure of n-demensional cube have important significance in theresearches of hyperspace. In this paper,we have shown,according to the geometric definition ofn-dimensional cube,that the sum of the edges and planes of cubes with the dimension not large thann is 3￣n,which is an extraordiary simple conclusion,we also study the relations between this result andthe generalized Yanghuei's triangle.