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Dot Patterns and Sierpinski Gasket

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Visit this site: http://www.maa.org/editorial/knot/Sierpinski.html
Author:Cut the Knot!, Alexander Bogomolny
Description: How many ways are there to define the Sierpinski gasket (also, the Sierpinski triangle)? The author has counted a respectable 9 but would be happy to learn of more. An applet with rows of digits or circles with colors corresponding to the digits shows patterns in the drawing area defined row-by-row starting from the upper row - which consists of clickable digits (or circles.) Also links to related pages. An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem, one not stated directly since the applet is intended to be such that the right answer to an as yet unstated problem should be easy to surmise. Also at http://www.cut-the-knot.org/ctk/Sierpinski.html.
Levels: High School (9-12), College
Languages: English
Resource Types: Problems/Puzzles, Articles, Web Interactive/Java
Math Topics: Patterns/Relationships, Fractals, Number Theory

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