I find reading this paper painful but think it probably is good underneath. The painfulness comes from the large length compared with the small amount of "here's a satisfying result for you". Specifically, it seems to me, that you must have shown, that you can write down a certain formula, for an analytic function of two variables, in closed form (using Schwarz Christoffel) such that complex plane "sections" of this function (1 complex dimensional sections of 2 complex dimensional thing) have level sets describing quasiperiodic Penrose-tiling-like sets. [Meanwhile other sections of other such functions lead to (boring) doubly-periodic sets and correspond to elliptic functions.] Right? So then my question would be -- since that seems to be the whole point your paper is (or should be) driving at -- why didn't you actually do it? Write down a freaking formula and get a Penrosian set! If you were really ambitious you could then actually compute some pictures...