Buddha Nature

Koan: Everything has Buddha nature. But Buddha nature is originally empty. So how can everything have Buddha nature?

My interpretation: Everything is nothing, and all is empty. While it may at first observation seem a nihilistic approach, I believe it otherwise. No thing exists independently, as there is a recipe for every thing. A table does not exist, rather it is pieces of wood arranged in a specific pattern which we call a table. The wood does not exist, rather it is pieces of tree that we call wood. A tree does not exist, as it is the growth that results from a seed which we call a tree. A seed does not exist, it is the progeny of another tree which we label a seed. In this way, nothing exists and is empty of its own inherent nature.