一对奇N阶幻立方MC1和MC  

A Pair of Odd N Order Magic Cubes MC1 and MC2

作　　者：侴万禧[1] 

机构地区：[1]安徽理工大学土木建筑学院,安徽淮南232001

出　　处：《安徽理工大学学报（自然科学版）》2016年第4期79-86,82-84+86,共8页Journal of Anhui University of Science and Technology:Natural Science

摘　　要：集装箱船上n3个重量随机的集装箱堆积产生巨大的偏心力,导致集装箱船体向一侧倾斜。为有效消除集装箱船上偏心力作用造成的安全隐患,将N阶幻立方的构造思路运用到集装箱船上n3个集装箱堆积中,n3个集装箱堆积成n×n×n幻立方,使原来的非均匀荷载变成均匀荷载。发现了N阶幻立方构造的若干方法,解决了奇N阶幻立方的计数问题,阐明了奇N阶幻立方构造的基本思路。首先做n个与初始立方矩A中某一斜面平行的斜面,构造中间矩阵B,然后将方阵B中n×n个沿水平排列的序列改成n×n个沿斜线排列的序列,即得到奇n阶幻立方M。以9阶幻立方MC1和MC2为例,详细阐述了奇9阶幻立方MC1和MC2的构造全过程。For the enormous eccentric force in container ship with n3 containers in random weight, the container ship will tip to one side. In order to eliminate the potential safety hazard caused by eccentric force effect in con- tainer ship effectively, the concept for constructing magic cubes of order N is applied to the stacking of n3 con- tainers. Then n3 containers will be stacked into magic cubes of order N, and the original non - uniform load will become uniform load. Methods for constructing magic cubes of order N are discovered, and the counting problem of magic cubes of order N is also settled. Furthermore, the basic concept for constructing magic cubes of order N is described. Firstly, construct intermediate matrix B by making n inclined plane parallel to a certain inclined plane in initial cubic matrix A. Then, change the n × n sequence along horizontal direction in matrix B into the oblique line. The final matrix M is the magic cubes of order N. Taking magic cubes MC1 and MC2 of order 9 as an example, the constructing procedure of magic cubes of order 9 is presented.

关 键 词：幻立方 阶 思路 构造 过程 

分 类 号：O157[理学—数学]