Six calculations in three-dimensional hyperbolic space. Structure 1 and structure 2 each run engines A, B and C on one 24-frame clock, each on its own instance with its own memory chain. Every move turns a particle’s frame by a twist. The coupler applies that twist to one structure and its inverse to the other’s mirrored frame, both ways, so the binding between paired particles never changes. It checks this exactly at every zero point and keeps a third memory chain. Steer lets the frames turn each polytope; carry only transports them, and the six calculations are then bit for bit what they would be without a coupler. Keys: Space plays or pauses, . advances a frame, z jumps to the next zero point. Manual and proofs · The 3D decoder · Hub
The Poincaré ball of one factor. Dots: each channel’s particles; the three short arms at each: its frame. Drag either ball to turn both.
The same factor of structure 2, its own instance. Its frames are kept mirrored, so every twist it receives arrives as an inverse.
On load: the 3D decoder’s trace, replayed through this page. On request: the twin trace, two structures and the coupler for a whole exact register in carry and steer mode, about a minute.