nL-n-Luc5h   nL-Par2/Per1-Construction

nL-n-Luc5h is a Level-up construction which uses 2nd generation parallel n-Line Par2 and the 1st generation perpendicular n-Line Per1 wrt some lower-level center to construct a Perspective / Homothetic Center. See nL-n-Luc5.
There are no examples of this level-up construction yet, but in principle their existence should be possible.