Simple Fractal Tilings

Method 1

Because opposite sides are modified in complementary ways, this shape will tile the plane.
This tile is a filled-in polygon; it is not at all a fractal.
However, notice that four copies of this shape will fit into the top, right side, bottom, and left side of the shape.
To keep the aggregate of manageable size, first reduce the copies before placing them.

Return to Method 1.