The law of self similarity derives from the fractal nature of the reality.
Everything is arranged in layers and each one is a low resolution copy of the one above it. When we study this law and experience it directly, we open up to the possibility of there being more layers on top of that which we think is "me".
The law makes us tiny and humble. This law shows that there is no end to seeking, when you explore all that which can be experienced. Your search must take you inwards not outwards, and then you will see that you are one all encompassing unity, having no structure and no layers of any kind.