concept
active
concept:counterchange-symmetryCounterchange Symmetry
Property where background and foreground tiles have identical shapes; observed in pmg2 patterns at the Alhambra.
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Papers (1)
paper
- Frieze Patterns of the Alhambramentions
Findings (1)
finding
- Glazed tile dado classified as pmg2 frieze patternassociated_withPattern with vertical mirror, two-fold rotation, and glide-reflection symmetry, also counterchange symmetry, Figure 6
Concepts (1)
concept
- pmg2 Frieze PatterncitesSixth frieze type; has two-fold rotational symmetry, vertical reflection symmetry, and glide-reflection symmetry.
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.
- Rotation about a point by an angle 360°/n leaving the pattern invariant
- One of four key isometries; reflection across a line (mirror line or axis of reflection).
- The physics concept of reduction from larger to smaller symmetry groups, cited as consistent with but less comprehensive than the principle of unfolding wholeness
- One of four key isometries; rotation about a point through a given angle, with n-fold variants based on 360°/n invariance.
- A principle from physics that when symmetry is broken, a system acts to preserve as many of its symmetries as possible, preserving as much structure as possible.
- Models with different initializations converge to same basin up to permutations over weight space