生成一类自相似分形集的非交换级数方法  

Noncommutative series method for the generation of a kind of self-similar fractal sets

作　　者：杜兴华[1] 刘成仕[1] 

机构地区：[1]大庆石油学院数学系,黑龙江大庆163318

出　　处：《大庆石油学院学报》2004年第3期112-113,共2页Journal of Daqing Petroleum Institute

摘　　要：交换级数法是表示和生成一类自相似分形集的简单方法 ,它与字符串迭代法的等价性被证明 ,并推广应用到一类变形Koch曲线及Koch雪花上 .Noncommutative series method is a simple method for the generation of a kind of self-similar fractal sets. Its equivalence to the iteration of word bunch has been proved. This method has been applied to a kind of deformed Koch curve and Koch snowflake.

关 键 词：分形几何 非交换级数 字符串迭代 KOCH曲线 

分 类 号：O174.12[理学—数学]