Dot Patterns and Sierpinski Gasket
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http://www.cuttheknot.org/ctk/Sierpinski.shtml  


Cut the Knot!, Alexander Bogomolny  
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 rowbyrow 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.  


Levels:  High School (912), College 
Languages:  English 
Resource Types:  Problems/Puzzles, Articles, Web Interactive/Java 
Math Topics:  Patterns/Relationships, Fractals, Number Theory 
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