We recall the characteristics of the groups with hyperbolic symmetry and improve the IFS iterated function systems which are used to construct the classical fractal sets in the Euclidian plane.

• 方法分析双曲对称群的特点,改造欧式平面上构造经典分形的IFS迭代函数系,利用这种迭代函数系与双曲平面对称变换构造出组合IFS,通过随机挑选组合IFS中的仿射变换,构造双曲排列的分形集。