A snake of ideas circulating as separate-but-unified. Each segment carries an idea-token (a hue); as it travels the ring it re-projects (rotates — same token, re-pointed). The head eats the tail: the idea re-enters itself — a closed loop. You can cure degradation (rotate = lossless, or watch it fade = collapse) and inject new ideas that ripple around. And the paper knows the joke: this idea about how ideas re-derive is itself a re-derived idea.
The ring is ideas in circulation. Each segment carries a token — a color, standing for the idea's current orientation. As segments travel, the token rotates: that's re-projection (the diode stack) — each step turns the idea toward a new direction without losing it. Same token, re-pointed, all the way around. The colors shifting are the re-derivation happening.
Toggle degrade. Off: the tokens rotate — lossless, the colors stay vivid, the idea is re-pointed forever without decay (the cure). On: each lap fades toward gray — lossy, the telephone game, model collapse. Same loop, two fates: rotation preserves, degradation destroys. The "cure for degradation and noise" is making the loop a rotation, not a fade.
Hit inject: a new idea-token drops into the ring and ripples around, folding into the circulating source. The loop never freezes — every injection re-derives the whole circulation from the new parts. Separate, but unified; closed, but perturbable.
This idea — ideas circulating as separate-but-unified, degrading or re-projecting — is itself a circulating, re-derived idea (Shannon's information, Landauer's reversibility, cybernetics' feedback, this snake). The map is made of the territory. The diagnosis is an instance of the disease. A true theory of recurrence must recur — so its self-application is the test passing.