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concept:local-symmetry-transformationLocal-Symmetry Transformation
A transformation that strengthens a center by giving it an internal axis of symmetry, local to the center.
Neighborhood — ranked by edge-count
Concepts (3)
concept
- Local Symmetriesassociated_withrelated_toThe property that living wholes contain many interlocking and overlapping local symmetries rather than overall symmetry; local symmetries act as glue holding space together, and their number predicts cognitive coherence
- Local Symmetries Transformationrelated_toA structure-preserving transformation: introducing symmetries within a center, not globally, to strengthen local order.
- LOCAL SYMMETRYrelated_toOne of Alexander's fifteen properties; appears in birthday table, handshake, and namaste examples
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- Movement in a given direction through a given distance; all frieze patterns possess this symmetry by definition.
- One of four key isometries; reflection across a line (mirror line or axis of reflection).
- A transformation that introduces intermediate-sized centers to fill out the hierarchy of scales, strengthening larger centers.
- Prior assumption that high-level variables align with disjoint groups of neurons in standard basis; contrasted with distributed representations.
- Property where background and foreground tiles have identical shapes; observed in pmg2 patterns at the Alhambra.
- Rotation about a point by an angle 360°/n leaving the pattern invariant