The exact expression is n = 4 " , in which n is the stage of koch curve . since we only consider one generator in computation process , so we simplify it as n = 4 ) . the critical point of this kind of koch curve is zero , also called zero temperature phase transition , and this is the character of all the limited branching systems 无分支科赫曲线是一种典型的分形，前人的研究都局限于n = 4 ( n是用线元，面元，或体元覆盖分形系统所需要的覆盖次数，确切的应该写成n = 4 ~ n ，其中n为科赫曲线的级，但我们在重整化群计算时只考虑一个生成元，所以简化为n = 4 )情况，这种科赫曲线的相变点为零，是一种零温相变，这也是有限分岔系统的相变特征。
The results are important for dam base excavation and engineering disposal . ( 2 ) arch dam can be regarded as an elastic ground cantilever system composed of vertical cantilever , horizontal arch , and torsion structures . the dissertation takes the arch dam as load diversion system of arch - cantilevers system located on the ground composed of elastic cantilever ( 2 )将拱坝虚拟为由座落在坝基块体有限元上的一系列悬臂梁与水平拱组成，将悬臂梁视作由水平拱所支承的弹性地基梁，考虑径向和切向调整，比以往的弹性地基梁只考虑径向调整有所发展；而且用块体元模拟坝基，也能较精确地模拟坝基多种断裂构造等对坝体结构行为的影响。
