In eigener Sache: The attractor structure of logarithmic iterations in the complex plane

I decided to post my explorations in empirical mathematics on arXiv. This was done in the same spirit as the work that led to the Eagleman prize back in 2006. At some point, I will have to prettify the plots when I get around to it, but for now the work stands for itself. It is what it is, and as far as I can tell it is novel. Comments welcome, as always.