NESTING - selves at more than one prime society

ONE SOCIETY ALONE - its members coupled, itself meeting nothing
  its members, inside it
    n=  7:  a middle yes   surplus yes   reaches past alone yes
    n=  9:  a middle yes   surplus yes   reaches past alone yes
    n= 11:  a middle yes   surplus yes   reaches past alone yes
  the society itself, at the scale above
    N= 12:  a middle yes   surplus yes   reaches past alone refused: its own set had not closed at the arriving window

TWO SOCIETIES - a pair at the scale above
  the pair, at the scale above
    N= 12:  a middle no   surplus no   reaches past alone refused: its own set had not closed at the arriving window
    N= 18:  a middle yes   surplus yes   reaches past alone refused: its own set had not closed at the arriving window
  their members, at the scale below
    n=  7:  a middle yes   surplus yes   reaches past alone yes
    n=  9:  a middle yes   surplus yes   reaches past alone yes
    n= 11:  a middle yes   surplus no   reaches past alone no
    n= 13:  a middle yes   surplus yes   reaches past alone yes
    n= 15:  a middle yes   surplus yes   reaches past alone yes
    n= 17:  a middle yes   surplus yes   reaches past alone yes

THREE SOCIETIES - a society of societies
  the three societies, at the scale above
    N= 12:  a middle yes   surplus yes   reaches past alone refused: its own set had not closed at the arriving window
    N= 18:  a middle yes   surplus yes   reaches past alone refused: its own set had not closed at the arriving window
    N= 24:  a middle yes   surplus yes   reaches past alone refused: its own set had not closed at the arriving window
  their members, at the scale below
    n=  7:  a middle yes   surplus yes   reaches past alone yes
    n=  9:  a middle yes   surplus yes   reaches past alone yes
    n= 11:  a middle yes   surplus yes   reaches past alone yes
    n= 13:  a middle yes   surplus yes   reaches past alone yes
    n= 15:  a middle yes   surplus yes   reaches past alone yes
    n= 17:  a middle yes   surplus yes   reaches past alone yes
    n= 19:  a middle yes   surplus yes   reaches past alone yes
    n= 21:  a middle yes   surplus yes   reaches past alone yes
    n= 23:  a middle yes   surplus no   reaches past alone yes

THE FOUR SOCIETY SECURITIES, INVERTED AT THE SCALE ABOVE
  each opened singly, all else held, at three societies

  the four whole: stopped False — no stopping read
    surplus stands at [12, 18, 24]   parallels part at [12, 18, 24]

  door 5: all-edge inverted — every across through one society
          the living stopped yes — the surplus died
          surplus at []   parallels part at [24]
  door 6: no-seat-outside inverted — a standing order over every one
          the living stopped no  — no stopping read
          surplus at [12, 18, 24]   parallels part at [12, 18, 24]
  door 7: riding inverted — one society pinned
          the living stopped yes — a landing
          surplus at [12, 24]   parallels part at [12, 24]
  door 8: own-offering inverted — one society only following
          the living stopped yes — the centre rose while the surround fell
          surplus at [18, 24]   parallels part at [18, 24]

BREAK CONDITIONS
  a society alone carrying a surplus, or reaching past its own running
  a pair of societies where either reaches past its own running
  a society of societies carrying the surplus at every one of them
  a reading at the scale above answering unlike the same reading below
