An interesting property of wall plane insides that Alien Jon showed to me while I was in Boulder for Christmas: the arms analog to an airwrap is a 4-beat windmill or watermill and in theory this is just a truncated version of a hyperloop/inversion. Jon pointed out to me, though, that when spinning clockwise with the crosspoint pointed down (as it would be in an airwrap), the only watermill one has access to in wall plane has the left hand leading.