concept
active
concept:pmg2-frieze-patternpmg2 Frieze Pattern
Sixth frieze type; has two-fold rotational symmetry, vertical reflection symmetry, and glide-reflection symmetry.
Neighborhood — ranked by edge-count
Papers (1)
paper
- Frieze Patterns of the Alhambramentions
Frameworks (1)
framework
- Seven Frieze Symmetry Groupsassociated_withMathematical classification system for one-dimensional periodic patterns using group theory; core framework for the analysis.
Concepts (8)
concept
- p112 Frieze Patternrelated_toSecond frieze type; has two-fold rotational symmetry but no reflections or glide-reflections.
- p1g1 Frieze Patternrelated_toSeventh and rarest frieze type; has glide-reflection symmetry along translation axis but no rotation or reflection symmetry.
- pm11 Frieze Patternrelated_toThird frieze type; has vertical mirror reflection symmetry but no rotation symmetry.
- pmm2 Frieze Patternrelated_toFifth frieze type; has reflection symmetry in two directions and two-fold rotational symmetry.
- two-fold rotational symmetryassociated_withRotation by 180° about a center leaving the pattern invariant
- Glide-Reflection Symmetryassociated_withOne of four key isometries; combination of reflection and translation parallel to the mirror line.
- vertical mirrorassociated_withMirror line at right angles to the translation axis
- Property where background and foreground tiles have identical shapes; observed in pmg2 patterns at the Alhambra.
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
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.
- Fourth frieze type; has horizontal mirror reflection symmetry parallel to translation axis but no rotation symmetry.
- First of seven frieze types; has only translation symmetry, no rotations, reflections, or glide-reflections.
- The primary mathematical object of study; one-dimensional infinitely-repeating geometric patterns found in Islamic art.
- Classification of one-dimensional periodic patterns into 7 symmetry groups using international notation pxyz
- Pattern with vertical mirrors at left and right edges of the primitive cell, Figure 3
- Reported in Bodner's previous studies [4] and [5]
- Plaster border with horizontal mirror on midline, no rotational symmetry, Figure 4