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。
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.
后来发现可以通过引入 仿射参数而避开双值性，实质上是将两叶黎曼面分别映射到 仿射参数 空间。
The double-valued problem can be simplified by introducing an appropriate affine parameter, namely, mapping the two Riemann sheets on the plane of the spectral parameter to the affine parameter space.
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