c_symm fails to identify certain perceived centers (e.g., segment BWBB in pattern BWB...) and overestimates others.

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• c_symm measure predicts the experimentally determined rank order of coherence for 35 patterns with high accuracy.finding0.818
  Quantitative result supporting the idea that local symmetry counting approximates perceived life in visual patterns.
• Naive interpretation of attention patterns can be both informative and fundamentally misleading when Q-, K-, or V-composition is presentclaim0.764
  Response to the 'attention as explanation' critique; the paper provides a typology of when attention is and isn't directly interpretable
• In buildings, especially, the success of the process will be judged by the extent to which these middle-range entities appear with their own distinct symmetries, with their own definite and distinct force as strong centers.claim0.746
  Proposes middle-range entity quality as the criterion for judging the success of a building process
• Li et al. 2024: larger LLMs outperform smaller ones at distinguishing self-related from non-self-related properties on self-awareness benchmarksfinding0.743
  Prior finding showing scale-dependent self-awareness, consistent with the scale effect observed in the paper's Experiment 1
• Results may not fully generalize to all models and scenarios because the model organism relies on hints and nudges and Llama Nemotron cannot consistently distinguish evaluation/deployment based on subtle cuesclaim0.738
  Key limitation acknowledged by authors.
• A strong center in an interface is diagnostic of quality; sycophantic mirrors have no center, kitchen-sink outputs have too many.claim0.736
• Number of local symmetries correlates almost perfectly with perceived cognitive coherence across 35 strip patternsfinding0.733
  The key experimental finding: the number of subsymmetries (locally symmetrical connected segments) in a pattern predicts its perceived coherence; most coherent strips have 9 subsymmetries, least coherent have 5; the measure correlates almost perfectly with combined experimental rank order
• Better LLMs (measured by 1-bits-per-byte on OpenWebText) show a linear relationship with alignment to vision models measured via mutual nearest-neighbor on WITfinding0.733
  Key cross-modal alignment result