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Computer-generated fractals using iterated function systems

Posted on:2004-08-15Degree:M.SType:Thesis
University:Southern Connecticut State UniversityCandidate:Stiegler, Cynthia Joy GaydaFull Text:PDF
GTID:2460390011973782Subject:Education
Abstract/Summary:
The inclusion of fractal geometry in the high school mathematics curriculum is desirable because it links many of the currently included topics and has a variety of reallife applications. Since hand drawing fractals is tedious, computer programs are used. However, many of these programs do not explain the mathematics behind how the fractals are generated.; IFS-Maker was one such program. It also lacked a user's guide. Therefore, documentation is hereby created to improve on the beta version of IFS-Maker. This documentation includes the theory behind how iterated function systems are used to generate fractals. It also includes a user's guide that explains how the program works as well as activities that can be used in various classroom settings.; All sections of this documentation, solutions to the activities, and IFS-Maker are available on the world wide web at http://www.southernct.edu/∼bdn/stiegler. As a result, anyone interested in fractals can conveniently access the information from a single location.
Keywords/Search Tags:Fractals
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