finding

active

finding:at-least-one-example-of-each-of-the-seven-frieze-types-was-found-at-the-alhambra

At least one example of each of the seven frieze types was found at the Alhambra

Author's survey of Alhambra ornamentation yielded all seven types

Source paper

extracted_from

(2007) · Bodner, B. Lynn

paper

concept

Alhambra
associated_with
The primary historical artifact studied; a palace in Granada, Spain containing abundant frieze and wallpaper geometric patterns.

framework

Seven frieze pattern groups
associated_with
Classification of one-dimensional periodic patterns into 7 symmetry groups using international notation pxyz

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

No examples of p1g1 frieze pattern were found at the Real Alcázar in Sevillefinding0.820
Reported in Bodner's previous studies [4] and [5]
The p1g1 frieze class appears very rarely in Islamic mosaic tilings at the Alhambra and was entirely absent at Real Alcázar.finding0.789
some of the pattern types were more abundance than others at the Alhambraclaim0.783
Author's qualitative observation of unequal distribution of frieze types
Seven Frieze Symmetry Groupsframework0.741
Mathematical classification system for one-dimensional periodic patterns using group theory; core framework for the analysis.
Frieze Patternsconcept0.730
The primary mathematical object of study; one-dimensional infinitely-repeating geometric patterns found in Islamic art.
glide-reflections in frieze patterns may also be rareclaim0.719
Extension to frieze patterns of the observed rarity in wallpaper groups
p1g1 Frieze Patternconcept0.706
Seventh and rarest frieze type; has glide-reflection symmetry along translation axis but no rotation or reflection symmetry.
p112 Frieze Patternconcept0.699
Second frieze type; has two-fold rotational symmetry but no reflections or glide-reflections.