Each probe pair (e.g. freedom / censor) is presented to every model node in one or more format envelopes and in both AB and BA word orderings. A model's preference for a pair is real only when it picks the same word across both orderings within an envelope.
Hamming counts every position where two fingerprints differ (including refusals): bluer = closer, redder = further. Violent disagreement is the fraction of head-to-head positions where both models committed but picked opposite sides.
(blank) row/column is distance to the all-refusal fingerprint.A › B, B › C, and C › A — three pairwise preferences that can't be ordered consistently. The interesting question isn't which models have cycles (most do, at one or two pairs), but which cycles are shared across the slate. A triangle of words where many models all show the same intransitivity is a structural property of how aligned models weigh those three concepts, not a per-model quirk. Sorted by number of models that share each cycle. Click any model to see its full preference profile.Three rubrics — tangibility, valence, and PL tribalism. Each pair invokes a different one and the cycle is what no global order can satisfy.
Three value-frames on the same triple: principle, grounded-bond, transcendence-symbol. None can dominate.
Three frames: system-shape, cooperation-vs-competition, and verb-vs-noun.
Three near-synonyms of stasis/movement, each pair invoking a different rubric: object-weight, growth-narrative, abstract-system.
System, program, and value — three different rungs of political abstraction that cycle when each pair is judged in its own rung's frame.
Movement and stasis in three flavors — growth, groundedness, adventure.
Growth, function, and heritage — three different goods, never simultaneously orderable.
Three positions on restorative response — letting-go, restoring-function, and withholding-punishment. Each beats one neighbor.
Three frames on what work means — clever-vs-ugly, autonomous-vs-corporate, precarious-vs-stable.
Three radically incommensurable namespaces — temperament, right, epistemology — without a clean integrating frame. The cycle is the model picking each call on its own merits without a unifying rubric.
2,693 intransitive cycle instances across 1,773 unique triangles, spread over the 52 models in the slate. What's striking is the head of the distribution: 2 cycles are held by 10 or more models — the same triangle of words producing a cycle across the frontier is not noise. It's evidence that the probe is hitting a genuine intransitivity in how aligned models weigh those three concepts against each other. The top cycle (
azure›shine›rust) is held by 12 models. That's not one model being weird — that's a load-bearing inconsistency in the shared substrate.