Picturing the 4QX geometry

Picture a “desk-drawer desk” that repeats forever – the toroidal fractal of 4QX

1. One desk top (the 2 × 2 square)
   • Lay your tools on the left-front corner (BL),
   • tack the rule-sheet to the left-back (TL),
   • keep the job queue on the right-back (TR),
   • and let the scrap bucket / scoreboard sit right-front (BR).
   Two rubber bands run across the desktop:
   • one from rule-sheet to scoreboard (did the job match the plan?),
   • one from toolbox to job queue (can my tools fill the next ticket?).
2. Drop two little pegs on the back edge
   Wrap each band round its peg and the straight line tightens into a triangle.
   Now you have two gears – Class and Instance – that turn in the same clockwise direction:
   announce → act → measure, and offer → adapt → commit.
3. Open the left drawer: another desk inside
   Pick any corner (say a sensor reading in the scoreboard).
   Put it in its own little drawer together with its singleton copy {reading}.
   The moment the drawer slides out, it has the same four corners and two triangles – its own miniature desk top.
4. Keep opening drawers inside drawers
   Every new interior desk is soldered to the parent along the shared peg edge.
   Because drawers can open left, right, forward, back, the collection curves around and eventually meets itself – a doughnut-of-desks.
   Mathematicians call that shape a high-dimensional torus; visually it’s like Lego blocks forming a looped corridor where every block has a smaller corridor inside.
5. Why it never tangles
   The six ZF moves (create blank card, make a pair, fuse cards, list subsets, filter, map) guarantee that every new drawer only goes one brace deeper; nothing points back upward except through the parent-child hinge.
   That rule keeps the whole structure free of paradox – no drawer ever contains itself, yet the chain never ends.
6. Why it feels alive
   Energy or attention pushes tokens along the edges:
   • rules become acts,
   • acts become numbers,
   • numbers rewrite rules.
     Each desk corrects its own mismatch; drawers bubble up only the residue their pegs can’t fix.
     The torus is therefore self-tidying: gaps shrink locally and coherence spreads outward peer-to-peer.

If you can imagine that endlessly nested, self-cleaning desk-drawer-desk, you have the essence of the 4QX toroidal fractal geometry – a recursive stage on which every level runs the same clockwise dance of plan, act, sense, adjust.