concept
active
concept:glide-reflection-symmetryGlide-Reflection Symmetry
One of four key isometries; combination of reflection and translation parallel to the mirror line.
Neighborhood — ranked by edge-count
Papers (1)
paper
- Frieze Patterns of the Alhambramentions
Claims (1)
claim
- Determining whether or not a pattern has glide-reflection symmetry can be challengingassociated_withAuthor's methodological note about subtlety of glide-reflections
Concepts (3)
concept
- p1g1 Frieze Patternassociated_withSeventh and rarest frieze type; has glide-reflection symmetry along translation axis but no rotation or reflection symmetry.
- pmg2 Frieze Patternassociated_withSixth frieze type; has two-fold rotational symmetry, vertical reflection symmetry, and glide-reflection symmetry.
- Isometry (Distance-Preserving Transformation)associated_withFundamental mathematical concept; four types of isometries (translation, rotation, reflection, glide-reflection) form the basis of frieze pattern classification.
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.
- One of four key isometries; reflection across a line (mirror line or axis of reflection).
- Bodner's interpretive finding based on comparative analysis; supported by Abas and Salman's statistical distribution data.
- Extension to frieze patterns of the observed rarity in wallpaper groups
- Rotation about a point by an angle 360°/n leaving the pattern invariant
- Movement in a given direction through a given distance; all frieze patterns possess this symmetry by definition.
- One of four key isometries; rotation about a point through a given angle, with n-fold variants based on 360°/n invariance.
- A direction in the model's representation space that governs self-reflection behavior, computed as mean difference between reflection and non-reflection embeddings