Triangle Puzzle
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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 longterm behavior  what points can you reach after repeating this process an arbitrarily large number of times? ...they form a Sierpinski gasket.  


Levels:  High School (912), College 
Languages:  English 
Resource Types:  Problems/Puzzles 
Math Topics:  Triangles and Other Polygons 
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