Trapezoid divided by nine

The scaling factor from one generation to the next is 1/3. A single example is shown through four iterations. With nine smaller tiles and one centered tile in the reptile, this fractal can be thought of as a trapezoid analog to the Sierpinski Carpet. As with the other trapezoid reptiles shown on the main page, the angles in this trapezoid are multiples of 60 degrees.

All images copyright Robert Fathauer

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