31 THE FRACTAL (MANDELBROT) PERCOLATION IS UNRECTIFIABLE 1:13:36 THE MANY FACETS OF HIGGS BUNDLES 1:07:19 THE MATCHING PROBLEM, OPTIMAL TRANSPORTATION, AND ITS VARIATIONAL REGULARITY THE 1:04:58 WHAT IS GEOMETRIC GRAPH THEORY_ 1:36:08 AN UPPER BOUND ON THE HAUSDORFF DIMENSION OF THE RAUZY...
Fractal geometry is considered a special field in mathematics simply because fractals have very different mathematical equations than regular geometry. The phenomena has been studied for hundreds of years, but fractals have largely been ignored as “mathematical monsters” because of unfamiliarity, being ...
Mandelbrot - Fractal Geometry - What is it?Mandelbrot, B B
where simple patterns can create high degrees of complexity. For that reason, fractal geometry can sometimes be used to describe the patterns and repetitions that may occur in chaotic systems
Mandelbrot, Fractal Geometry; What Is It And What Does It Do.pdfMandelbrot, B BBlumen, A
a“Fractal Architecture”: Late Twentieth Century Connections Between Architecture and Fractal Geometry “分数维建筑学” : 建筑学和分数维几何之间的后20世纪连接[translate] athere is a big closet 有大壁橱[translate] aWriting desk (F-10a); including plastic laiminate finishes (PL-2), leather finish...
We had to include these old standards, but we wanted to explore also some less-familiar aspects of fractal geometry. So we designed other labs. Some worked well, others did not. Here we'll give brief sketches of some of the labs that didn't work so well. Each explores a topic that ...
The discovery that the “geometry of nature” is fractal has radical implications for human beings’ understanding of their society and of their role in things social and political. What does this mean? It means that there is now, for the first time in human history, a firm mathematical and...
Understanding the basic function of a logarithm is critically important to advanced mathematical calculations. Logarithms pop up all over the place in a variety of surprising areas of study. Though not surprisingly they play a part in fractal geometry, statistics, and probability functions, they are...
Almost 20 years ago, architects began using a technique called scripting—that is, programming—to take the geometry created by a computer and manipulate it in new ways, and a new generation of building design and construction was born. Computers overruled the tyranny of the right angle, and ...