From Fibonacci Series To Fractal Geometry Art-Breakthrough And Extension Of Rational Aesthetics

Under the background of high-speed development,the integration of science and art has already become an important means of contemporary art creation.Mathematics,as a very logical and rational discipline,plays an important role in the development of art.The development of architecture and the historical process of art in the western world are closely related to geometry.The perspective theory of classical geometry has influenced the development of art creation in the Renaissance,while the process of modern art has a deep origin with non Euclidean geometry.In the 1970 s,the famous mathematician bernuva Mandelbrot put forward the theory of fractal geometry,which greatly promoted the fields of mathematics,biology,physics and so on.As the representative theory of non Euclidean geometry,the theory of fractal geometry has new enlightenment and influence on the creation of modern art.Starting from Fibonacci spiral curve,this paper discusses the generation law and rational characteristics of classical geometry,compares the differences between classical geometry and fractal geometry in visual effect and the generation characteristics of rational variation,and finds out the significance and necessity of new aesthetic existence.In the last chapter,taking Susan Langer's aesthetic thought system as the starting point,the author makes a deep research on them,and makes a more in-depth theoretical analysis and summary on the necessity of rational deference from the four aspects of essence,illusion,life form and aesthetic intuition.