concept
active
concept:frieze-patternsFrieze Patterns
The primary mathematical object of study; one-dimensional infinitely-repeating geometric patterns found in Islamic art.
Neighborhood — ranked by edge-count
Papers (1)
paper
- Frieze Patterns of the Alhambramentions
Thinkers (1)
thinker
- B. Lynn BodnerstudiesAuthor of the paper analyzing frieze patterns in Islamic art and architecture.
Frameworks (1)
framework
- Seven Frieze Symmetry Groupsassociated_withMathematical classification system for one-dimensional periodic patterns using group theory; core framework for the analysis.
Communities (1)
community
- Islamic Geometric Patternsmembers_of
Concepts (7)
concept
- p111 Frieze Patternrelated_toFirst of seven frieze types; has only translation symmetry, no rotations, reflections, or glide-reflections.
- p1m1 Frieze Patternrelated_toFourth frieze type; has horizontal mirror reflection symmetry parallel to translation axis but no rotation symmetry.
- AlhambracitesThe primary historical artifact studied; a palace in Granada, Spain containing abundant frieze and wallpaper geometric patterns.
- Glazed Tileassociated_withOne of the primary material forms of frieze patterns observed at the Alhambra.
- Yesoassociated_withPlaster material used in frieze pattern decoration at the Alhambra.
- Alicatadoassociated_withSpanish term for cut tiles derived from Arabic; one of the primary materials composing frieze patterns at the Alhambra.
- Islamic Geometric Patternsassociated_withBroader category of infinitely-repeating geometric designs characteristic of Islamic art and decoration.
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.
- Classification of one-dimensional periodic patterns into 7 symmetry groups using international notation pxyz
- Seventh and rarest frieze type; has glide-reflection symmetry along translation axis but no rotation or reflection symmetry.
- Second frieze type; has two-fold rotational symmetry but no reflections or glide-reflections.
- Third frieze type; has vertical mirror reflection symmetry but no rotation symmetry.
- Fifth frieze type; has reflection symmetry in two directions and two-fold rotational symmetry.
- Sixth frieze type; has two-fold rotational symmetry, vertical reflection symmetry, and glide-reflection symmetry.
- Designs containing a repeating motif
- Dennett's concept: patterns that are ontologically real because they are useful for prediction.