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|Evelyn Sander, Geometry Forum Archives, The Geometry Center|
|Pick an arbitrary point in the interior of an equilateral triangle. Now go halfway towards one of the three vertices (you get to pick which vertex). Now you are at a new point in the triangle. Again go halfway towards any vertex. Continue this process. What is the long-term behavior - what points can you reach after repeating this process an arbitrarily large number of times? ...they form a Sierpinski gasket.|
|Levels:||High School (9-12), College|
|Math Topics:||Triangles and Other Polygons|
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