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The Sierpinski Triangle 
Let's take a triangle, and operate on it so that the new figure is more "complicated" in a special way. Then operate on that figure in the same way and get an even more complicated figure. Then do it again and again ...and again.
Let's make a famous fractal called the Sierpinski Triangle.
Step One
Draw an equilateral triangle with sides of 2 triangle units each.
Connect the midpoints of each side.
How many equilateral triangles do you now have?
Shade out the triangle in the center.
Step Two
Draw an equilateral triangle with sides of 4 triangle units each. Connect the midpoints of the sides and shade the triangle in the center as before.
Notice the three small triangles that also need to be shaded out in each of the three triangles on each corner.
Step Three
Draw an equilateral triangle with sides of 8 triangle units each. Follow the same procedure as before, making sure to follow the shading pattern. You will have 1 large, 3 medium, and 9 small triangles shaded.
Step Four
Follow the above pattern and complete the Sierpinski Triangle.
z...anyways thnx a ton for posting and sharing this with uS!!!....GR8 WORK AS ALWAYS JISOA!!! 
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