Configuration coherence can be measured by counting locally symmetric sub-configurations; this measure shows strong agreement with cognition and perception experiments.

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

• Number of local symmetries correlates almost perfectly with perceived cognitive coherence across 35 strip patternsfinding0.832
  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
• Perceived coherence of patterns is an objective measure, not idiosyncratic or subjective—people agree on relative coherence regardless of experimental taskfinding0.831
  Finding that relative coherence rankings remain constant across different people and across different cognitive processing tasks (description, memorization, tachistoscopic recognition), establishing coherence as an objective feature of cognitive processing
• Weighted symmetry measure (by segment length) correlates less well with coherence than unweighted local symmetry countfinding0.796
  Finding that giving extra points to longer symmetrical segments reduces correlation with experimentally measured coherence, showing large symmetries contribute little extra; what matters more is the number of smaller local symmetries
• Overall correlation between accuracy and contra-positive coherence across all models is 0.41 on Leap-of-Thought.finding0.785
  Quantitative result showing weaker relationship between accuracy and contra-positive coherence.
• If the fifteen properties' internal coherence is clarified through visualization and analysis, then they can be successfully applied beyond architecture to other domains.hypothesis0.780
• Coherenceconcept0.776
  A property that makes a segment of space stand out as a center; determined by symmetry, connectedness, convexity, etc.
• c_symm measure predicts the experimentally determined rank order of coherence for 35 patterns with high accuracy.finding0.773
  Quantitative result supporting the idea that local symmetry counting approximates perceived life in visual patterns.
• Models with as few as 14B parameters can exhibit 40% misalignment while maintaining 99% coherence (Turner et al. 2025 result)finding0.771
  Concurrent work result showing emergent misalignment occurs in small models