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【11月9日】学术报告:Fractals and Fractal Transformations(分形与分形变换)

来自:       作者:   编辑:       时间:2017-11-07

   

报告题目:Fractals and Fractal Transformations(分形与分形变换)

时间:2017119  下午15:00

地点:虎溪校区理科楼LA106教室

报告人:Pro. Michael Barnsley  (Mathematical Sciences Institute, Australian National University)


报告人简介:



Michael BARNSLEY is a leading figure in the world of fractals. He obtained his BA (1968) in mathematics at Oxford University, UK and a PhD (1972) in theoretical chemistry at Wisconsin, USA. He has been a professor at Georgia Institute of Technology and a founded the company Iterated Systems Inc in 1987. He is the author of over 200 publications including the books Fractals Everywhere and SuperFractals.

  

ABSTRACT: Fractal transformations are a way of changing smooth objects into rough ones, and vice versatile. They have exciting potential applications in science and art. This lecture will explain in simple terms, what fractals and fractal transformations are, and how they can be built and explored (easily) using the "Chaos Game.

 

报告提要:分形变换是一种将光滑物体变为粗糙物体的方法。他们在科学和艺术方面有令人兴奋的潜在应用。本讲座将简单地解释,什么是分形和分形变换,以及如何使用“混沌游戏”构建和探索。

  

分形几何是描述世界本来面貌的数学新分支,他比用一系列直线或者球体描述得更好。


如图,蕨类植物是最常见的自相似几何,这意味着不管放大或缩小多少倍,它们的团都可以进行数学上的推导和重现。这种蕨类图形被称为巴恩斯利蕨,是以首创者迈克·巴恩斯利的名字命名的,用于描述这种分形图形的数学公式第一次表明,虽然混沌遵循建立在非线性迭代方程上的确定规则,但它天生无法预测。