  The first part of this paper is a survey on Teichmueller curves and Veech
groups, with emphasis on the special case of origamis where much stronger tools
for the investigation are available than in the general case. In the second
part we study a particular configuration of origami curves in genus 3: A "base"
curve is intersected by infinitely many "transversal" curves. We determine
their Veech groups and the closure of their locus in M_3, which turns out to be
a three dimensional variety and the image of a certain Hurwitz space in M_3.
