6-Rhombus Fractal Reptile

Using square- or triangle-based grids, there is no overlapping transformation of the grid for n = 6, meaning n = 6 fractal self-replicating tiles are not allowed. By distorting a grid, for example stretching a rhombus grid, n=6 becomes allowed. The diagonals of the rhombic building block are 1 and √15/3. The scaling factor from one generation to the next is 1/√6, and the rotation angle is approximately 52.239 degrees (left), with mirroring between successive iterations on the right.