Rectangle divided by nine
The scaling factor from one generation to the next is 1/3. This reptile has two-fold rotational and mirror symmetry, allowing for choices in the orientation of the smaller units in cases where those units lack mirror symmetry. An example is shown below, through four iterations.
All images copyright Robert Fathauer
Fractal Diversions home
Fractal Tiling Fractal Knots Gasket Fractals Fractal Trees Hyperbolic & Folded Fractals Polyhedra Papers