we consider generic translation surfaces of genus g>0 with n>1 marked points and take covers branched over the marked points such that the monodromy of every element in the fundamental group lies in a cyclic group of order d. given a translation surface, the number of cylinders with waist curve of length at most l grows like l^2. by work of veech and eskin-masur, when normalizing the number of cylinders by l^2, the limit as l goes to infinity exists and the resulting number is called a siegel-veech constant. the same holds true if we weight the cylinders by their area. remarkably, the siegel-veech constant resulting from counting cylinders weighted by area is independent of the number of branch points n. all necessary background will be given and a connection to combinatorics will be presented. this is joint work with aaron calderon, carlos matheus, nick salter, and martin schmoll.