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.
在 双 曲空间中引进相应的椭圆概念、讨论椭圆的方程，并对椭圆的对称性等 几何性质做出细致考察。
The concept of ellipse is extended to hyperbolic space and the equation is discussed. Some geometric data of ellipse, such as symmetries, will be considered.
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