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This activity features a Java applet that demonstrates the building of the Sierpinski's carpet fractal beginning with a square with sides of length one. The applet generates the next five fractal iterations. In each iteration, the existing squares are subdivided into smaller squares by lines connecting points that divide each square's opposite sides into thirds. After each iteration, the number of squares and the length of the sides are stated. Functionality is limited to moving between the iterations. From the activity page, What, How, and Why buttons open pages explaining the activity's purpose, function, and how the mathematics fits into the curriculum. It also references the related NCTM standards for grades 6-8. Supplemental resources include lesson plans, handouts, and exploration questions for investigating properties of the Sierpinski carpet. The activity is linked to related interactivate modules with applets and background discussions about the mathematics of fractals. Copyright 2005 Eisenhower National Clearinghouse
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