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With this applet, the learner defines initial conditions for graphing a fractal and observes the results. The screen opens to show a first-quadrant unit square with either triangle or parabolic curve with adjustable height and an initial point on the line y equals x. From the initial point, a cobweb plot, or Verhulst diagram, is traced as the point moves vertically until it hits the curve and then moves horizontally back to the line. This automated graphing process continues until paused by the learner, who will see how small changes in the variables can greatly affect the graph. Instructions for using the applet, background information about fractals and iterative functions, and teaching suggestions are included. There is also a link to the NCTM standard for geometry. Copyright 2005 Eisenhower National Clearinghouse
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