Register tables

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Vert & Face vector map

One full register set per torus. Each facet references its centre ray and its four corner vertex rays; columns wrap in u, and ring 13 wraps back to R1 in v. The seam ring R1's registers coincide at the horn point but keep their own identities. Every register carries an empty binding, reserved for the later system that binds rays to content and operations.

Ray directions

Unit vectors from the zero point, shared by every torus: register codes differ per torus, directions do not. The y axis is the horn axis. Also in the repo as data/ray-directions-12x24.csv.