I am calling this the snowflake carpet fractal because the higher the levels go for this fractal, the more it looks like a snowflake.
To make my carpet I took out (0,0) and (3,3).
Below is the equation I used to calculate the surface area of level 1, 2, and 3.
This is the equation I used to solve for dimension. The scaling factor was 1/4 and the number of copies was 14.