The first parallelogram is the most basic. All others are considered its images under affine transformations. Apply the Iterate button with the Affine Basis Manipulator on. The regions will multiply and become smaller. To boot, this is a demonstration of the deterministic algorithm with the first parallelogram as the starting point.
Y axis grows downwards.
Using parallelograms to define affine transformations may be a mixed blessing. For one, parallelograms may not resemble the resulting sets in the least. Further, two parallelograms can be mapped onto each other in 8 different ways. So, while a parallelogram remains the same geometric region, it can be associated with several transformations. Each such selection leads to a different IFS with a different fixed point.