Fractal Tiles using Geometer's Sketchpad

I start with a single "tile" designed using Geometer's Sketchpad. Then, using Flash Actionscript I place that "tile" in the center of the screen and surround it with 12 copies of the tile that are half the size of the original, then surround those with 36 "tiles" half the size of the second set of "tiles"; the process is continued until the tiles are too small to see. Thus we obtain a "fractal" tiling. For the three tilings below the original tile is shown on the left and the fractal tiling on the right. For more tilings see the next page.

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