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The Mandelbrot set—someone has called it the thumbprint of God—is one of the most beautiful and remarkable discoveries in the entire history of mathematics. With Arthur C. Clarke as narrator and interviews with a number of notable mathematicians, including Benoît Mandelbrot, this program graphically illustrates how simple formulas can lead to complicated results: it explains the set, what it means, its internal consistency, and the revolutions in thought resulting from its discovery. Asked if the real universe goes on forever, Stephen Hawking defines its limit of smallness; the Mandelbrot set, on the other hand, may go on forever. (52 minutes)



 
                    

Item#: This title is currently not available.
Copyright date: ©1994




     


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The Alphabet of Shapes: Benoit Mandelbrot and Fractal Geometry

In this program, Benoit Mandelbrot takes us on a chaotic "guided tour" through Paris and a number of U.S. locations. He explains his ideas and theories by using ordinary objects and occurrences as examples, inviting viewers to look more closely at th...(more details)
 
Fractals: An Animated Discussion
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Dazzling computer animation combined with the genius of Benoit Mandelbrot and Edward Lorenz present a captivating discussion of fractals and the fundamental concepts of fractal geometry-self-similarity and chaos. Mandelbrot uses a simple head of broc...(more details)
 
Mathematics and Nature
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The shapes of natural things-trees and clouds, blades of grass and galaxies-seem countless. Closer observation shows that nature only presents a small number of fundamental shapes and that these basic shapes obey strict laws. This program explains a ...(more details)
 
Mathematics

Mathematics emerged in history around the same time as agriculture, and for the very practical reason that it was necessary to quantify crops and to count the days to determine planting and harvesting times. Since then, the need for mathematics and t...(more details)
 
Fractals, Chaos Theory, and Their Application

This program explores the topic of fractals, their relationship to the development of Chaos Theory, and their practical application in the telecommunications industry. Experts discuss how computers have advanced the study of fractals. The use of frac...(more details)
 


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