nL-n-Luc5j   nL-Per1/Per2-Construction

nL-n-Luc5j is a Level-up construction which uses the 1st generation perpendicular n-Line Per1 and the 2nd generation perpendicular n-Line Per2 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.