> I would like to understand why numbers looks like leaves and not some other fractal like snowflakes for example (the inverse question, why biological leaves h

> I would like to understand why numbers looks like leaves and not some other fractal like snowflakes for example (the inverse question, why biological leaves have this specific self-similar structure may yield more fruit). Snowflakes are dendrite formations highly influenced by how nucleation happens, the graph layout choices highly impact what you will see; Von Neumann Ordinals are possibly better approached as hierarchical branching processes, and being deterministic, Tokunaga self-similarity is one fairly elegant path to follow in the deterministic case such as this. (IMHO)