欧几里德几何学、分形几何学、拓扑几何学与设计（Euclidean geometry, fractal geometry, topology, geometry and design）.docVIP

欧几里德几何学、分形几何学、拓扑几何学与设计（Euclidean geometry, fractal geometry, topology, geometry and design） Euclidean geometry, fractal geometry, topology and geometry design of 2007-6-12 18:55:34 This article is reproduced please specify the source and the original author how to avoid nuclear radiation in 2011 the provincial college entrance examination information collection the best universities and professional China Euclidean geometry, fractal geometry, topology and geometry design Classical geometry describes natural bodies in general, not approximate, not exact. It is the mountain type complex approximate cone, the complexity of the crown is approximately conical, the complex head is approximately spherical and so on. And according to the basic shape (square, circle, cone, cylinder, ring etc.) as the foundation, through the superposition and combination of them, to describe more complex natural bodies. This does not require precise description in the field is acceptable, if the object to be described with sufficient accuracy, this method cant meet the requirements. In addition, for some very complex shapes, such as shape, snow, this method is inadequate. In order to carry out a more accurate description of the complex natural form, Mandelbrote put forward the concept of fractal. The fractal method can be more accurate in their natural form than the classical description of geometry. This description is dynamic, is established based on the principle of self similarity is in natural form. Of course, the fractal description is not natural and form 100%. Any description is general or abstract concept. Comparison of classical geometry and fractal origin, their description of natural bodies differ in that the classical geometry describes shapes in a static way, this method has the characteristics of large amount of data; fractal geometry describes shapes in a dynamic and generative way, this way can according to the requirements to improve the precision of the described shapes a s