If this paper also studies the band percolation of the models of the triangle lattice and the hexagonal lattice when p = pc and p > pc . such as the estimation of power of , x and xf and their upper and lower bound 本文还研究了正三角形和正六边形渗流在临界点处（ p pc ）和上临界状态（尸尸的渗流。特别考虑关于0 ， x和幂指数的估计，并且给出了估计的上下界。
We derive the intensity distribution of the evanescent light - wave in the rectangular hollow space of the four single - mode fibers , and calculate the optical potential for guided cold atoms . the other scheme is evanescent - wave atomic guiding by using three single - mode fibers , and calculate the intensity distribution of the evanescent light - wave in the triangular hollow space and the optical potential for guided cold atoms . our study shows that these schemes can be used to realize single - mode atomic wavdguide only when the input laser power is equal to a few mw 在本文中，我们采用了二种单模光纤束的方案：其一是利用四根单模光纤来实现原子波导的方案，我们导出了四根单模光纤束组成的类四边形对称中空区域中产生的消逝波光强分布，计算了该中空区域的冷原子光学囚禁势；其二是利用三根单模光纤来实现原子波导的方案，计算了三根单模光纤束组成的类正三角形中空区域中的消逝波光强分布以及该中空区域的冷原子光学囚禁势。
This paper studies the band percolation of the models of the triangle lattice and the hexagonal lattice . before we study the models of the triangle lattice and the hexagonal lattice , we will introduce period . let g = ( vc , ec ) be a connected graph , we write vg for the set of vertices of g and egfor the set of its edges , u e vc is a vertex , and v is the coordinate vector 在介绍平面正三角形和正六边形点格的边渗流模型之前我们先引入周期的概念：设g = ( v _ g , e _ g )为连通图其中v _ g , e _ g分别为图g的顶点集和边集， u v _ g为的顶点， v为平面的坐标向量。
Chapter one percolation and the main inequality in percolation , chapter two main results of this paper , chapter three proof of the main results chapter four the general property and proposition about the band percolation of the models of the triangle lattice , the rectangle lattice and the hexagonal lattice （ p pc ） “ ’若p pchix （ p三（一尸c广，若p pc这里p叫2一18本文的最后还提出了关于平面内正三角形，正四边形和正六边形的边渗流的一些共有的性质和猜想。
The research result indicated : for the strip primary mirror discussed in this article , the hexagon light - weighted cell has the best structural rigidity quality , the square cell is a little worse , the triangle cell is the worst ; there is an optimum on primary mirror thickness ; on condition of 1g gravity load combining with 4 centigrade uniform temperature rising , the thinner and higher of the flexible support reed , the better of the primary mirror surface figure . the decision of the structural parameters of the flexible support reed must take static rigidity , dynamic rigidity , static strength and dynamic strength of primary mirror assembly into account 研究结果表明：对于本文的长圆形主镜，采用正六边形轻量化孔，镜体结构刚性品质最好，正方形次之，正三角形最差；主镜镜体厚度存在最佳值；主镜组件在1g重力、均匀温升4共同作用的工况下，主镜柔性支撑簧片厚度越小、高度越高，主镜综合面形误差( p - v值)越小，但同时主镜组件的刚体位移增大、固有频率下降，因此柔性支承结构参数的确定要综合考虑主镜的综合面形误差和主镜组件静态刚度、动态刚度、静态强度和动态强度等因素。
There are 2 methods in dividing the surfaces : alternate division class i and triacon division class ii . alternate division is to divide the equilateral triangle into n2 smaller equilateral triangles by breaking each edges into n pieces and connecting the breaking points with lines parallel to the triangle edges 分解方法有两种交错分解法i类以及三十面分解法ii类，交错分解法是将正多面体上的正三角形面每边切成n份并把分解点连成和大正三角形的边平行的直线，使正三角形面分解成n2个较小的正三角形面。
