几何学研究的对象是客观世界中物体的形状。传统欧氏几何学的研究对象，都是规则并且光滑的，比如：直线、曲线、曲面等。但客观世界中物体的形状，并不完全具有规则光滑等性质，因此只能近似当作欧氏几何的对象，比如：将凹凸不平的地球表面近似为椭球面。虽然多数情况下通过这样的近似处理后，能够得到符合实际情况的结果，但是对于极不规则的形态，比如：云朵、烟雾、树木等，传统的几何学就无能为力了。

如何描述这些复杂的自然形态？如何分析其内在的机理？这些就是分形几何学所面对和解决的问题。

-The study of geometry object is the objective world in the shape of an object. Traditional Euclidean geometry object of study, all is the rules and smooth, such as: straight line, curve and surface. But the objective world in the shape of an object, not completely have rules such as smooth nature, therefore can only approximate as Euclidean geometry object, such as: will be uneven of the earth s surface approximation for an ellipsoid. Although most cases through such approximate treatment after, can get the result of the tally with the actual situation, but for very rules form, such as: the clouds, smoke, trees, the traditional geometry can do.



How to describe these complex natural form? How to analyze its internal mechanism? These are the fractal geometry to face and solve problems.