SIGGRAPH 2004 - The 31st international conference on computer graphics and interactive techniques
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Animation of Mathematical Concepts Using Polynomiography
Thursday, noon - 12:15 pm
Room 502B

This paper demonstrates how a medium called "polynomiography," which consists of techniques for visualization of polynomial equations, can be used to animate mathematical concepts and provide a valuable tool for education. More specifically, the paper shows how it can be used to visualize the following topics: Voronoi regions of points in the plane, multiplication of complex numbers and their interpretation as rotation, sensitivity of polynomial roots as coefficients change, visualization of classes of special polynomial equations arising from two problems of the American Mathematical Monthly, and animation for the sake of visual art. Each of these is illustrated in a series of images. The internet links to the corresponding animations are available, where they can be accessed for educational purposes and will be upgraded and expanded from time to time.

Bahman Kalantari
Rutgers University
kalantar@cs.rutgers.edu

Iraj Kalantari
Western Illinois University

Fedor Andreev
Western Illinois University

 
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Conference 8-12 August, Exhibition 10-12 August.  In Los Angeles, CA