T-Square Fractal: Sharpen up the detail at higher levels?

[Boleeman]

The T-Square Fractal on a TPaintbox.

Some Info. on the fractal:
The t-square fractal is a closed finite two-dimensional fractal with an infinite length boundary. The fractal's name comes from the technical drawing instrument used for drawing horizontal lines on a drafting table. A t-square consists of a set of different size squares. Depending on their placement, size, and orientation, there are multiple types of t-squares. The Regular T-square has a classic t-square which is iterated from a square by adding more squares centered at each vertex of all previous iteration's squares.



How could we possibly sharpen up the detail at higher levels?

Enjoy.