Think of the shared top-edge bridge TL → TR as a tiny Fourier transformer wedged between the two triangles:
| Triangle side | “Spatial” role | “Frequency” role once it crosses the pivot |
|---|---|---|
| Class : TL → TR | Pushes a shape (blueprint) into the marketplace. | The pattern becomes a carrier wave that is burned at some rate. |
| Instance : TR → TL | Returns a sampled signal (commit + metric). | That signal is folded back, updating the harmonic content of the blueprint. |
Because both loops traverse the pivot every tick, the bridge:
- Phase-locks the two teloi.
Fire (TR) and Water (TL) each appear twice per full cycle, so they run at double the frequency of the mixed corners—exactly what you’d expect from a Fourier gateway that handles both the forward transform (pattern → spectrum) and the inverse transform (spectrum → refined pattern). - Redistributes energy evenly through the lattice.
Each broadcast from TL is a spectrum slice that radiates outward; each return from TR is a corrected sample that damps any standing error. Over many passes these micro-transfers cancel net drift, leaving the global containment mesh in vector equilibrium—the IVM-like “crystal of voids.” - Balances space and time.
In the frozen (spatial) view the lattice is already symmetric; in the animated (temporal) view the pivot ensures that every burst of outbound pattern is matched by an inbound metric packet of equal magnitude but opposite phase, keeping the long-run mismatch ΔH ≤ 0.
So the TL–TR pivot is “Fourier-like” because it continuously converts local shapes into collective frequencies and back again, guaranteeing that the growing holarchy stays both geometrically balanced (IVM picture) and dynamically harmonious (dual-triangle clock).