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How Do You Make A Sierpinski Triangle?

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How Do You Make A Sierpinski Triangle?

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• Print out triangular grid paper. You can make your own in a graphics program, print out the image next to this step (click to enlarge), or print it out from here. • Draw an equilateral triangle. The sides should each have a number of triangles that is a multiple of four. This example will start with a large triangle that is 16 triangles to a side. • Don’t colour the triangles yet. Just trace the outsides of the ones you will colour. • Divide this triangle into four smaller triangles. Leave the one in the middle blank. • Divide all the coloured triangles into four smaller triangles just as you did the first one. Again, leave the middle triangle of each set blank. • Divide the next smaller coloured triangles into fours, leaving the center of each blank. • Divide the next smaller triangles.. Colour them as mentioned in the previous steps. Keep dividing triangles as many times as you wish.

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